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Groups > comp.theory > #38464 > unrolled thread
| Started by | olcott <NoOne@NoWhere.com> |
|---|---|
| First post | 2021-08-28 11:47 -0500 |
| Last post | 2021-08-28 20:00 -0400 |
| Articles | 20 on this page of 733 — 10 participants |
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That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 11:47 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 14:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 14:12 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 16:24 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 15:33 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 16:46 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 16:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 18:29 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 17:38 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 17:38 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 19:32 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 18:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 18:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 20:07 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 23:00 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 07:00 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-29 08:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-29 16:20 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-29 10:30 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-29 17:19 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-29 11:36 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-30 01:00 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-29 20:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 03:17 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-30 21:35 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 04:04 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-30 22:20 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-30 21:35 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-30 23:00 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-30 22:19 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-30 23:31 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-30 22:45 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-31 09:24 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 09:07 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 11:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 11:11 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 10:31 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 11:49 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 11:00 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 12:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 12:40 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 14:11 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 14:08 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 16:34 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 16:40 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 18:29 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 17:39 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 19:16 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 20:47 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 18:52 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 21:23 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-08-31 14:17 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] olcott <NoOne@NoWhere.com> - 2021-08-31 16:48 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 19:26 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 21:08 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ relative invocation order ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 19:23 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 06:35 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 14:55 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-31 09:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 20:59 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-01 03:28 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-31 21:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-08-31 23:05 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 11:22 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] olcott <NoOne@NoWhere.com> - 2021-08-29 12:43 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 12:06 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ air tight proof ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 15:42 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-28 18:42 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 22:52 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-28 22:07 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-28 23:13 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-28 22:32 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ dishonesty ? ] olcott <NoOne@NoWhere.com> - 2021-08-28 23:27 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ dishonesty ? ] André G. Isaak <agisaak@gm.invalid> - 2021-08-28 22:34 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ dishonesty ? ] olcott <NoOne@NoWhere.com> - 2021-08-28 23:50 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ dishonesty ? ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 08:20 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 13:53 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 13:32 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 14:40 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 13:48 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 14:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 16:42 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 16:16 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 18:35 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 20:39 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 21:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 19:54 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 21:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 22:35 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 20:38 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 21:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 21:00 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 22:17 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-29 21:43 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-29 22:54 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-30 06:24 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-30 09:02 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-30 20:13 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 03:12 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-30 21:30 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 03:53 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-30 22:11 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 06:38 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-31 15:04 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-31 09:30 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-31 21:03 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-01 03:45 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-31 22:09 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-31 22:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-09-01 07:51 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 21:47 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-31 23:10 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 22:26 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-08-31 23:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-08-31 22:52 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 08:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 08:54 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 09:13 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 19:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-01 02:19 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 08:27 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 19:06 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-02 02:40 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-02 09:15 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 16:19 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-02 10:34 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 22:02 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-02 18:12 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 22:00 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-04 16:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 18:41 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-04 17:54 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 19:02 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-04 16:25 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-04 22:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-05 13:02 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-05 15:13 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 17:36 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Mike <usenet@darjeeling.plus.com> - 2021-09-05 23:37 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-09-05 20:16 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 09:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-09-06 11:06 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 10:26 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 12:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 14:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 14:22 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 15:50 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 15:37 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 16:59 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 16:58 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 18:21 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 17:39 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 18:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 18:13 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 19:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 19:07 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 20:23 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 21:30 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 21:34 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 21:49 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 22:08 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-06 23:35 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 23:36 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 08:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 08:14 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 09:26 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-07 08:18 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 10:34 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 09:39 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 11:02 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 10:46 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 12:01 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 12:14 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 13:17 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 13:39 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 14:49 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 15:07 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ][ Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:06 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:16 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 18:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 20:49 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 05:59 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 09:13 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] olcott <NoOne@NoWhere.com> - 2021-09-07 18:38 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 20:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 06:40 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 06:30 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Jeff Barnett <jbb@notatt.com> - 2021-09-06 21:47 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Jeff Barnett <jbb@notatt.com> - 2021-09-06 21:31 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 22:32 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 21:31 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pure functions ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 19:56 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 19:39 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 19:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 21:38 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:50 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:53 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 22:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 21:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 23:37 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 06:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 11:10 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 09:00 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 16:30 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 10:45 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:11 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 18:44 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 20:55 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 01:25 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 19:39 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 21:01 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 03:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 19:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 18:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 21:03 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 22:48 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 21:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 23:06 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 23:45 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 06:10 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 09:26 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] olcott <NoOne@NoWhere.com> - 2021-09-06 09:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ refuted Rice's theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 11:21 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 00:09 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-04 23:27 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 16:33 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-05 10:52 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 13:03 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 19:48 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-05 14:05 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 23:46 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-06 10:00 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 11:22 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 21:24 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-06 16:06 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 19:10 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-06 18:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:10 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-02 09:10 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ pathological inputs ] olcott <NoOne@NoWhere.com> - 2021-09-02 11:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 21:38 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 06:42 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-01 15:34 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] André G. Isaak <agisaak@gm.invalid> - 2021-09-01 08:45 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 09:52 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 19:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 06:38 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 06:21 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-01 15:44 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 10:05 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 19:43 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 01:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 20:34 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 02:42 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] olcott <NoOne@NoWhere.com> - 2021-09-01 21:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-09-01 22:34 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] olcott <NoOne@NoWhere.com> - 2021-09-01 21:53 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] André G. Isaak <agisaak@gm.invalid> - 2021-09-01 22:56 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] olcott <NoOne@NoWhere.com> - 2021-09-02 00:09 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] André G. Isaak <agisaak@gm.invalid> - 2021-09-01 23:48 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] olcott <NoOne@NoWhere.com> - 2021-09-02 10:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Pathological Input ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 06:17 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 12:28 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 10:23 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-02 22:00 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 18:20 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-02 17:46 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 19:01 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-02 18:20 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 19:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-02 19:10 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 22:21 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 01:27 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 19:40 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 02:05 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 20:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 02:29 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 20:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 22:24 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:26 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 22:54 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 23:15 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 03:42 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 23:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 22:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 23:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 23:09 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-02 22:59 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:05 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 12:49 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 15:11 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 16:58 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 16:23 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 17:31 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 06:32 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-03 04:47 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 14:41 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:20 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 15:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 08:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 08:09 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:24 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 08:33 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:46 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 09:12 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 10:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 09:43 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 15:01 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 14:24 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 15:31 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 14:58 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 16:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 17:43 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 15:46 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 17:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 18:46 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] André G. Isaak <agisaak@gm.invalid> - 2021-09-03 17:00 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 18:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Jeff Barnett <jbb@notatt.com> - 2021-09-03 17:45 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 22:36 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 17:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 00:02 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 19:03 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 01:20 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 19:27 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 21:10 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 20:36 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 22:07 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 22:30 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-03 23:12 -0700
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 08:45 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 10:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 09:49 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 11:22 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 10:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 11:54 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 11:21 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 12:40 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 12:01 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 13:21 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 12:41 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 14:08 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 13:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 14:28 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 13:52 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 21:56 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 18:34 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 19:13 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2021-09-04 02:05 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 20:31 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 20:51 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 15:06 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 22:00 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 17:55 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 20:49 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Mike <usenet@darjeeling.plus.com> - 2021-09-05 03:59 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Andy Walker <anw@cuboid.co.uk> - 2021-09-04 12:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Jeff Barnett <jbb@notatt.com> - 2021-09-04 13:59 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 21:26 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-04 16:13 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 22:37 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 16:27 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 15:36 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 17:06 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 11:41 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 14:52 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 16:11 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 11:47 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 11:34 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 10:39 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 11:51 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 09:09 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 12:01 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 15:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 10:02 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 16:18 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 12:02 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:16 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 03:47 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:56 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Jeff Barnett <jbb@notatt.com> - 2021-09-02 22:29 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 15:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 10:01 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 16:16 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 10:30 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 16:50 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 14:55 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 16:34 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 15:57 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-03 17:50 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-03 22:40 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-03 17:27 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 01:07 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-03 19:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 11:57 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 11:26 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 12:42 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 12:05 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 13:27 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 12:44 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 14:11 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 13:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 15:11 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 14:47 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 16:17 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 17:36 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 18:47 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 18:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-04 20:14 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 23:02 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 06:40 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 00:34 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 22:58 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 06:44 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 16:22 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 10:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 17:24 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 11:48 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 12:16 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 13:21 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 12:34 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 14:26 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 13:50 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 15:32 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 20:48 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 15:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 17:45 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 00:14 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 10:15 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 09:30 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 11:07 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 10:17 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 14:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 14:15 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 15:38 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 15:28 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 16:41 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 16:53 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2021-09-07 02:55 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 21:07 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:17 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:13 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 12:25 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 14:20 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:23 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 20:26 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 14:31 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 20:59 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 15:56 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 22:03 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 17:07 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 19:20 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 01:24 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 19:17 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 18:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 17:55 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] olcott <NoOne@NoWhere.com> - 2021-09-06 19:37 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 19:01 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 21:23 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] André G. Isaak <agisaak@gm.invalid> - 2021-09-06 19:33 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:45 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ end of life on Earth ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 21:19 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:37 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2021-09-07 16:50 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 11:04 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 11:09 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 10:41 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 11:59 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 11:55 -0600
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 13:15 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 23:26 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 17:38 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 01:52 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 20:12 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2021-09-08 02:26 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 20:45 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 21:52 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 21:11 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 22:22 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 11:32 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 21:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 16:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-06 23:55 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 18:32 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 01:40 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 19:49 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 02:09 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 20:40 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 02:57 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 21:17 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 22:56 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:05 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 23:51 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-06 22:59 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 06:28 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 11:54 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-07 09:07 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-07 16:31 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 10:51 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 01:42 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 20:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 21:12 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 20:28 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 21:55 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 21:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 22:27 -0400
H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 21:53 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-07 21:09 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 22:18 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 00:14 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 09:20 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 08:48 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 11:26 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 17:49 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 14:09 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 21:42 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 15:49 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 23:11 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 17:36 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 01:21 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 19:41 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 21:18 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 21:21 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:05 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 22:09 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:31 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 02:54 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 21:07 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 12:02 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 08:59 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 16:32 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 10:46 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 23:29 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 17:50 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 19:23 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-10 03:19 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 21:36 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-10 10:37 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-10 08:43 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-10 21:42 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-10 16:30 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-10 16:10 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-10 17:38 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-10 17:07 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-10 18:20 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-10 22:09 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-10 22:03 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-10 22:00 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:26 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:23 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 20:22 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 11:59 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 13:12 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 12:58 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 14:13 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 14:33 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 14:02 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] olcott <NoOne@NoWhere.com> - 2021-09-08 15:41 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 15:27 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] olcott <NoOne@NoWhere.com> - 2021-09-08 17:00 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 16:20 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 17:34 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-08 19:57 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 19:17 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-08 21:23 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 21:23 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:12 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-08 19:21 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 21:02 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:14 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 22:25 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:37 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-08 23:16 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-09 06:58 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-09 09:09 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:41 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-10 10:00 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-09-10 09:20 -0700
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-10 11:35 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-10 21:55 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 08:57 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-11 16:21 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 16:16 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-11 17:35 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 17:14 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-11 18:44 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 17:53 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-11 19:05 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 18:14 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-11 19:41 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-11 22:53 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 06:33 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 08:43 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 09:47 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 12:00 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 11:20 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 12:31 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 11:51 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:00 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 12:28 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:36 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 12:47 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:52 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 13:20 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 15:08 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 14:35 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( SUMMATION ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:44 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( SUMMATION ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 15:14 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( SUMMATION ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 13:18 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( SUMMATION ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 15:24 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 13:57 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:01 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 14:12 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:16 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 14:26 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:34 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 15:00 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 14:30 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 12:37 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 13:51 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 15:17 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-12 13:19 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 13:44 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 12:48 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-12 12:41 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-12 12:18 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-08 23:16 -0600
Re: H1(P,P) is a halt decider ... Andy Walker <anw@cuboid.co.uk> - 2021-09-09 10:21 +0100
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-09 08:34 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-09 15:08 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-09 17:15 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) André G. Isaak <agisaak@gm.invalid> - 2021-09-09 17:18 -0600
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) olcott <NoOne@NoWhere.com> - 2021-09-09 18:31 -0500
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ]( calling your bluff! ) Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:47 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 19:54 -0400
Re: H1(P,P) is a halt decider for P(P) [ meeting the infinite recursion criteria ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 19:51 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 19:48 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 19:46 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 19:01 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 20:25 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-09-08 19:09 -0600
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 20:17 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 21:32 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 21:33 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:20 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 22:30 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:50 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 23:10 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 07:05 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 09:16 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 16:05 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 10:25 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 16:41 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 10:51 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 23:29 +0100
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 19:30 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 18:50 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 20:38 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 19:46 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 22:25 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 22:19 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 22:05 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 20:17 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 07:15 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 07:04 -0400
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 09:39 -0500
Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 20:01 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-07 22:33 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 03:55 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-07 22:07 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 07:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 15:58 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 14:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 21:42 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 15:53 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-08 23:52 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 18:10 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 20:11 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 01:21 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 19:37 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 21:30 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 21:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:25 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 02:54 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 21:14 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:29 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 22:39 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-08 23:48 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-08 23:08 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 07:09 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 09:18 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 20:53 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 12:02 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 08:47 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 16:18 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 10:31 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-09 23:29 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:14 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-09-09 20:29 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Refuting Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-09-09 21:02 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-06 20:54 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-09-05 12:34 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-04 22:22 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 16:42 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 00:09 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-04 23:25 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 06:58 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 17:12 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] olcott <NoOne@NoWhere.com> - 2021-09-05 11:40 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Richard Damon <Richard@Damon-Family.org> - 2021-09-05 12:51 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ Linz H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-09-05 20:38 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 22:49 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 22:35 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 21:50 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 23:04 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] olcott <NoOne@NoWhere.com> - 2021-09-02 22:17 -0500
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ ignorance ] Richard Damon <Richard@Damon-Family.org> - 2021-09-02 23:53 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-30 00:54 +0100
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-29 15:45 -0400
Re: That P(P) of main() halts does not contradict H(P,P)==0 [ exception to the rule ] Richard Damon <Richard@Damon-Family.org> - 2021-08-28 20:00 -0400
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| From | André G. Isaak <agisaak@gm.invalid> |
|---|---|
| Date | 2021-09-07 21:09 -0600 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <sh99hq$1v6$1@dont-email.me> |
| In reply to | #39119 |
On 2021-09-07 20:53, olcott wrote:
> int main() { H1(P,P); } simulates P that calls H(P,P)
> makes H1(P,P) a different computation than H(P,P).
>
> The functions H and H1 behave differently when invoked with inputs that
> refer to themselves than when their inputs do not refer to themselves.
>
> That explains the difference in the behavior of H1 and H.
> This makes H1/H a distinctly different computation than H1/H1 or H/H.
The problem here is that when dealing with actual computations (i.e.
Turing Machines), nothing refers 'to itself'.
Remember that in the Linz proof, we construct H_Hat by making a copy of
H and then modifying that copy.
When we make a copy of a H and modify it, we end up with an entirely new
TM H_Hat which is completely independent from H. Neither "refers" to the
other at all. Remember that it isn't possible for a Turing Machine to
"call" another Turing Machine the way you have your P() call your H().
That's simply *not* an allowable option in the domain of Turing Machines.
And since the Linz proof is *about* Turing Machines, any 'refutation' of
that proof must be stated in terms of Turing Machines, or at least in
terms of something which clearly could be implemented using Turing
Machines. Your P() can't be implemented as a Turing Machine.
André
--
To email remove 'invalid' & replace 'gm' with well known Google mail
service.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-07 22:18 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <dIqdnWtgmcvytqX8nZ2dnUU7-a_NnZ2d@giganews.com> |
| In reply to | #39123 |
On 9/7/2021 10:09 PM, André G. Isaak wrote:
> On 2021-09-07 20:53, olcott wrote:
>
>> int main() { H1(P,P); } simulates P that calls H(P,P)
>> makes H1(P,P) a different computation than H(P,P).
>>
>> The functions H and H1 behave differently when invoked with inputs
>> that refer to themselves than when their inputs do not refer to
>> themselves.
>>
>> That explains the difference in the behavior of H1 and H.
>> This makes H1/H a distinctly different computation than H1/H1 or H/H.
>
> The problem here is that when dealing with actual computations (i.e.
> Turing Machines), nothing refers 'to itself'.
>
Now Ĥ is a Turing machine, so that it will have
some description in Σ*, say ŵ. This string, in
addition to being the description of Ĥ can also
be used as input string. We can therefore legitimately
ask what would happen if Ĥ is applied to ŵ.
(its own Turing machine description)
https://www.liarparadox.org/Peter_Linz_HP(Pages_315-320).pdf
I encode this more clearly as: Ĥ applied to ⟨Ĥ⟩
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ halts, and
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ does not halt
Make sure that you refer to these notational conventions not the one
that Linz provides with the two start states and vagueness about which
inputs go where, and which states are which.
> Remember that in the Linz proof, we construct H_Hat by making a copy of
> H and then modifying that copy.
>
> When we make a copy of a H and modify it, we end up with an entirely new
> TM H_Hat which is completely independent from H. Neither "refers" to the
> other at all. Remember that it isn't possible for a Turing Machine to
> "call" another Turing Machine the way you have your P() call your H().
> That's simply *not* an allowable option in the domain of Turing Machines.
>
> And since the Linz proof is *about* Turing Machines, any 'refutation' of
> that proof must be stated in terms of Turing Machines, or at least in
> terms of something which clearly could be implemented using Turing
> Machines. Your P() can't be implemented as a Turing Machine.
>
> André
>
--
Copyright 2021 Pete Olcott
"Great spirits have always encountered violent opposition from mediocre
minds." Einstein
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| From | André G. Isaak <agisaak@gm.invalid> |
|---|---|
| Date | 2021-09-08 00:14 -0600 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <sh9kd3$ljk$1@dont-email.me> |
| In reply to | #39124 |
On 2021-09-07 21:18, olcott wrote:
> On 9/7/2021 10:09 PM, André G. Isaak wrote:
>> On 2021-09-07 20:53, olcott wrote:
>>
>>> int main() { H1(P,P); } simulates P that calls H(P,P)
>>> makes H1(P,P) a different computation than H(P,P).
>>>
>>> The functions H and H1 behave differently when invoked with inputs
>>> that refer to themselves than when their inputs do not refer to
>>> themselves.
>>>
>>> That explains the difference in the behavior of H1 and H.
>>> This makes H1/H a distinctly different computation than H1/H1 or H/H.
>>
>> The problem here is that when dealing with actual computations (i.e.
>> Turing Machines), nothing refers 'to itself'.
>>
>
> Now Ĥ is a Turing machine, so that it will have
> some description in Σ*, say ŵ. This string, in
> addition to being the description of Ĥ can also
> be used as input string. We can therefore legitimately
> ask what would happen if Ĥ is applied to ŵ.
> (its own Turing machine description)
> https://www.liarparadox.org/Peter_Linz_HP(Pages_315-320).pdf
>
> I encode this more clearly as: Ĥ applied to ⟨Ĥ⟩
>
> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ halts, and
>
> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ does not halt
>
> Make sure that you refer to these notational conventions not the one
> that Linz provides with the two start states and vagueness about which
> inputs go where, and which states are which.
I have no idea how the above is supposed to be a response to the point I
was making. You claimed that your H and H1 behave different when their
inputs refer to 'themselves'. I pointed out that when dealing with TMs,
nothing 'refers to itself'. The above doesn't address this at all.
Linz's Ĥ takes as an input a complete description of a Turing Machine.
Do you understand that a complete description is not a reference?
A reference would be something that says 'a TM that behaves just like
that one over there'
A description gives a complete description of a the of state transitions
which defines a TM. It doesn't 'point' to some other machine.
If you give a TM as an input a description of a machine that happens to
be identical to itself, that TM has absolutely no way of recognizing
that the description it has been given describes itself, so how can this
make a difference?
And if your H and your H1 are identical, then their *descriptions* will
also be identical, so what you write above about H and H1 behaving
differently when their input 'refers to themselves' is simply nonsensical.
André
--
To email remove 'invalid' & replace 'gm' with well known Google mail
service.
[toc] | [prev] | [next] | [standalone]
| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 09:20 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <-6OdndSHQ_0zW6X8nZ2dnUU7-KXNnZ2d@giganews.com> |
| In reply to | #39125 |
On 9/8/2021 1:14 AM, André G. Isaak wrote:
> On 2021-09-07 21:18, olcott wrote:
>> On 9/7/2021 10:09 PM, André G. Isaak wrote:
>>> On 2021-09-07 20:53, olcott wrote:
>>>
>>>> int main() { H1(P,P); } simulates P that calls H(P,P)
>>>> makes H1(P,P) a different computation than H(P,P).
>>>>
>>>> The functions H and H1 behave differently when invoked with inputs
>>>> that refer to themselves than when their inputs do not refer to
>>>> themselves.
>>>>
>>>> That explains the difference in the behavior of H1 and H.
>>>> This makes H1/H a distinctly different computation than H1/H1 or H/H.
>>>
>>> The problem here is that when dealing with actual computations (i.e.
>>> Turing Machines), nothing refers 'to itself'.
>>>
>>
>> Now Ĥ is a Turing machine, so that it will have
>> some description in Σ*, say ŵ. This string, in
>> addition to being the description of Ĥ can also
>> be used as input string. We can therefore legitimately
>> ask what would happen if Ĥ is applied to ŵ.
>> (its own Turing machine description)
>> https://www.liarparadox.org/Peter_Linz_HP(Pages_315-320).pdf
>>
>> I encode this more clearly as: Ĥ applied to ⟨Ĥ⟩
>>
>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ halts, and
>>
>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ does not halt
>>
>> Make sure that you refer to these notational conventions not the one
>> that Linz provides with the two start states and vagueness about which
>> inputs go where, and which states are which.
>
> I have no idea how the above is supposed to be a response to the point I
> was making. You claimed that your H and H1 behave different when their
> inputs refer to 'themselves'. I pointed out that when dealing with TMs,
> nothing 'refers to itself'. The above doesn't address this at all.
>
You said nothing refers to itself.
I showed you how Ĥ applied to ⟨Ĥ⟩ thus Ĥ refers to itself.
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ sees that Ĥ.qx applied to ⟨Ĥ⟩ ⟨Ĥ⟩ transitions to Ĥ.qn
Ĥ.qx sees that its input ⟨Ĥ⟩ ⟨Ĥ⟩ is in an infinitely repeating cycle
that never halts unless Ĥ.qx aborts its simulation of this input ⟨Ĥ⟩ ⟨Ĥ⟩
> Linz's Ĥ takes as an input a complete description of a Turing Machine.
> Do you understand that a complete description is not a reference?
>
> A reference would be something that says 'a TM that behaves just like
> that one over there'
>
> A description gives a complete description of a the of state transitions
> which defines a TM. It doesn't 'point' to some other machine.
>
> If you give a TM as an input a description of a machine that happens to
> be identical to itself, that TM has absolutely no way of recognizing
> that the description it has been given describes itself, so how can this
> make a difference?
>
It need not know that the input is itself it only needs to tell that all
of the inputs are identical and none of them will ever halt unless their
simulation is aborted.
The exact same set of state transitions occurs every time that the
simulation of a machine begins until the next cycle when the simulation
of another copy begins.
The machine code of P and a P1 exact copy of P is identical even though
they are stored at different machine addresses because the x86 language
uses relative addressing.
> And if your H and your H1 are identical, then their *descriptions* will
> also be identical, so what you write above about H and H1 behaving
> differently when their input 'refers to themselves' is simply nonsensical.
>
> André
>
In the C/x86 model that uses H1/H
H1 behaves differently when it sees that another C function has aborted
its input so that H1 doesn't have to abort its input.
It doesn't have to an identical C function, it just can't be the same C
function. It is basically a case of someone else already did my work for
me so now that the work is done I don't have to do it.
The master UTM / halt decider H1 can see everything that it simulates:
(a) P begins
(b) P calls H(P,P)
(c) H returns to P
(d) P returns to main() where it was simulated by H1.
The master UTM / halt decider H can see everything that it simulates:
(a) P begins
(b) P calls H(P,P)
(c) P begins
(e) P calls H(P,P)
H(P,P) sees that it must abort its simulation of its input or its input
never halts.
--
Copyright 2021 Pete Olcott
"Great spirits have always encountered violent opposition from mediocre
minds." Einstein
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| From | André G. Isaak <agisaak@gm.invalid> |
|---|---|
| Date | 2021-09-08 08:48 -0600 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <shaige$u61$1@dont-email.me> |
| In reply to | #39131 |
On 2021-09-08 08:20, olcott wrote:
> On 9/8/2021 1:14 AM, André G. Isaak wrote:
>> On 2021-09-07 21:18, olcott wrote:
>>> On 9/7/2021 10:09 PM, André G. Isaak wrote:
>>>> On 2021-09-07 20:53, olcott wrote:
>>>>
>>>>> int main() { H1(P,P); } simulates P that calls H(P,P)
>>>>> makes H1(P,P) a different computation than H(P,P).
>>>>>
>>>>> The functions H and H1 behave differently when invoked with inputs
>>>>> that refer to themselves than when their inputs do not refer to
>>>>> themselves.
>>>>>
>>>>> That explains the difference in the behavior of H1 and H.
>>>>> This makes H1/H a distinctly different computation than H1/H1 or H/H.
>>>>
>>>> The problem here is that when dealing with actual computations (i.e.
>>>> Turing Machines), nothing refers 'to itself'.
>>>>
>>>
>>> Now Ĥ is a Turing machine, so that it will have
>>> some description in Σ*, say ŵ. This string, in
>>> addition to being the description of Ĥ can also
>>> be used as input string. We can therefore legitimately
>>> ask what would happen if Ĥ is applied to ŵ.
>>> (its own Turing machine description)
>>> https://www.liarparadox.org/Peter_Linz_HP(Pages_315-320).pdf
>>>
>>> I encode this more clearly as: Ĥ applied to ⟨Ĥ⟩
>>>
>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
>>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ halts, and
>>>
>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
>>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ does not halt
>>>
>>> Make sure that you refer to these notational conventions not the one
>>> that Linz provides with the two start states and vagueness about
>>> which inputs go where, and which states are which.
>>
>> I have no idea how the above is supposed to be a response to the point
>> I was making. You claimed that your H and H1 behave different when
>> their inputs refer to 'themselves'. I pointed out that when dealing
>> with TMs, nothing 'refers to itself'. The above doesn't address this
>> at all.
>>
>
> You said nothing refers to itself.
I said that nothing can refer to itself *when dealing with Turing Machines*.
> I showed you how Ĥ applied to ⟨Ĥ⟩ thus Ĥ refers to itself.
You don't seem to be grasping my point. You are giving Ĥ a *description*
of a Turing Machine. Descriptions don't refer to a Turing Machine, they
describe a Turing Machine. When Ĥ is applied to (Ĥ), nothing refers to
itself. Nothing refers to anything at all. You don't seem to grasp the
distinction.
You've claimed that your H and H1 have identical code, but that H(P, P)
and H1(P, P) will give different results because in the first case
something refers to itself and in the latter it does not.
I'm telling you that that claim is not coherently translatable into
Turing Machines. AFAICT, your claim that H1(P, P) and H(P, P) return
different results despite having identical code is based on H1 and H
having different machine addresses. But Turing Machines don't *have*
machine addresses and Turing Machines can't call other Turing Machines.
So if H and H1 are actual Turing Machines with identical state
transitions, then they are the *same* Turing Machine. There is no way
for H1(P, P) and H(P, P) to give different results when talking about
actual Turing Machines.
André
--
To email remove 'invalid' & replace 'gm' with well known Google mail
service.
[toc] | [prev] | [next] | [standalone]
| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 11:26 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <g6GdnRBsDdzaeaX8nZ2dnUU7-VHNnZ2d@giganews.com> |
| In reply to | #39134 |
On 9/8/2021 9:48 AM, André G. Isaak wrote:
> On 2021-09-08 08:20, olcott wrote:
>> On 9/8/2021 1:14 AM, André G. Isaak wrote:
>>> On 2021-09-07 21:18, olcott wrote:
>>>> On 9/7/2021 10:09 PM, André G. Isaak wrote:
>>>>> On 2021-09-07 20:53, olcott wrote:
>>>>>
>>>>>> int main() { H1(P,P); } simulates P that calls H(P,P)
>>>>>> makes H1(P,P) a different computation than H(P,P).
>>>>>>
>>>>>> The functions H and H1 behave differently when invoked with inputs
>>>>>> that refer to themselves than when their inputs do not refer to
>>>>>> themselves.
>>>>>>
>>>>>> That explains the difference in the behavior of H1 and H.
>>>>>> This makes H1/H a distinctly different computation than H1/H1 or H/H.
>>>>>
>>>>> The problem here is that when dealing with actual computations
>>>>> (i.e. Turing Machines), nothing refers 'to itself'.
>>>>>
>>>>
>>>> Now Ĥ is a Turing machine, so that it will have
>>>> some description in Σ*, say ŵ. This string, in
>>>> addition to being the description of Ĥ can also
>>>> be used as input string. We can therefore legitimately
>>>> ask what would happen if Ĥ is applied to ŵ.
>>>> (its own Turing machine description)
>>>> https://www.liarparadox.org/Peter_Linz_HP(Pages_315-320).pdf
>>>>
>>>> I encode this more clearly as: Ĥ applied to ⟨Ĥ⟩
>>>>
>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
>>>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ halts, and
>>>>
>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
>>>> if the simulated ⟨Ĥ⟩ applied to ⟨Ĥ⟩ does not halt
>>>>
>>>> Make sure that you refer to these notational conventions not the one
>>>> that Linz provides with the two start states and vagueness about
>>>> which inputs go where, and which states are which.
>>>
>>> I have no idea how the above is supposed to be a response to the
>>> point I was making. You claimed that your H and H1 behave different
>>> when their inputs refer to 'themselves'. I pointed out that when
>>> dealing with TMs, nothing 'refers to itself'. The above doesn't
>>> address this at all.
>>>
>>
>> You said nothing refers to itself.
>
> I said that nothing can refer to itself *when dealing with Turing
> Machines*.
>
>> I showed you how Ĥ applied to ⟨Ĥ⟩ thus Ĥ refers to itself.
>
> You don't seem to be grasping my point. You are giving Ĥ a *description*
> of a Turing Machine. Descriptions don't refer to a Turing Machine, they
> describe a Turing Machine. When Ĥ is applied to (Ĥ), nothing refers to
> itself. Nothing refers to anything at all. You don't seem to grasp the
> distinction.
>
The simulation of ⟨Ĥ⟩ ⟨Ĥ⟩ by the simulated Ĥ.qx essentially refers to
itself.
> You've claimed that your H and H1 have identical code, but that H(P, P)
> and H1(P, P) will give different results because in the first case
> something refers to itself and in the latter it does not.
>
Whether H and H1 have identical code is irrelevant. H1 can see that its
input halts and H can see that its input never halts.
> I'm telling you that that claim is not coherently translatable into
> Turing Machines. AFAICT, your claim that H1(P, P) and H(P, P) return
> different results despite having identical code is based on H1 and H
> having different machine addresses. But Turing Machines don't *have*
> machine addresses and Turing Machines can't call other Turing Machines.
>
H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and
Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts
> So if H and H1 are actual Turing Machines with identical state
> transitions, then they are the *same* Turing Machine. There is no way
> for H1(P, P) and H(P, P) to give different results when talking about
> actual Turing Machines.
>
> André
>
H1(P,P) sees that its input halts and
H(P,P) sees that its input never halts
So the machines are not quite identical.
--
Copyright 2021 Pete Olcott
"Great spirits have always encountered violent opposition from mediocre
minds." Einstein
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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2021-09-08 17:49 +0100 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <87y287c8qx.fsf@bsb.me.uk> |
| In reply to | #39137 |
olcott <NoOne@NoWhere.com> writes: > H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and > Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts TMs don't 'see' anything. A TM computation results from repeated application of the state transition function. Identical state transition functions, operating on identical input, generate identical computation sequences. If, as you tell us it does, H^.qx <H^><H^> |- H^.qn then H <H^><H^> |- H.qn as you tell us it should not. It's that simple. -- Ben.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 14:09 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <HfOdnd4-8cjnl6T8nZ2dnUU7-VFQAAAA@giganews.com> |
| In reply to | #39139 |
On 9/8/2021 11:49 AM, Ben Bacarisse wrote: > olcott <NoOne@NoWhere.com> writes: > >> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts > > TMs don't 'see' anything. OK so in other words a TM always ignores all of its tape elements. > A TM computation results from repeated > application of the state transition function. Identical state > transition functions, operating on identical input, generate identical > computation sequences. If, as you tell us it does, > > H^.qx <H^><H^> |- H^.qn > > then > > H <H^><H^> |- H.qn > > as you tell us it should not. It's that simple. > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2021-09-08 21:42 +0100 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <87pmtidckm.fsf@bsb.me.uk> |
| In reply to | #39146 |
olcott <NoOne@NoWhere.com> writes: > On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >> TMs don't 'see' anything. > > OK so in other words a TM always ignores all of its tape elements. No. And, frankly, that's a childish way to avoid the issue. >> A TM computation results from repeated >> application of the state transition function. Identical state >> transition functions, operating on identical input, generate identical >> computation sequences. If, as you tell us it does, >> H^.qx <H^><H^> |- H^.qn >> then >> H <H^><H^> |- H.qn >> as you tell us it should not. It's that simple. All you have is a childish remark to deflect attention from the fact that you have nothing to say about the big flaw in what you've been working on for 17 years. At some point, you will have to stop writing lines about TM configurations, or admit you are wrong about them. -- Ben.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 15:49 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <_IudnbK6jIRuvKT8nZ2dnUU7-IudnZ2d@giganews.com> |
| In reply to | #39151 |
On 9/8/2021 3:42 PM, Ben Bacarisse wrote: > olcott <NoOne@NoWhere.com> writes: > >> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>> olcott <NoOne@NoWhere.com> writes: >>> >>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>> TMs don't 'see' anything. >> >> OK so in other words a TM always ignores all of its tape elements. > > No. And, frankly, that's a childish way to avoid the issue. Not as childish as you not being able to understand what it means when a machine sees a sequence of data indicating an execution trace. > >>> A TM computation results from repeated >>> application of the state transition function. Identical state >>> transition functions, operating on identical input, generate identical >>> computation sequences. If, as you tell us it does, >>> H^.qx <H^><H^> |- H^.qn >>> then >>> H <H^><H^> |- H.qn >>> as you tell us it should not. It's that simple. > > All you have is a childish remark to deflect attention from the fact > that you have nothing to say about the big flaw in what you've been > working on for 17 years. At some point, you will have to stop writing > lines about TM configurations, or admit you are wrong about them. > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2021-09-08 23:11 +0100 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <87h7eud8es.fsf@bsb.me.uk> |
| In reply to | #39153 |
olcott <NoOne@NoWhere.com> writes: > On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>> olcott <NoOne@NoWhere.com> writes: >>>> >>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>> TMs don't 'see' anything. >>> >>> OK so in other words a TM always ignores all of its tape elements. >> No. And, frankly, that's a childish way to avoid the issue. > > Not as childish as you not being able to understand what it means when > a machine sees a sequence of data indicating an execution trace. Whatever one "sees", the other "sees". Two identical TMs (I referred to their state transition functions because there are other technical matters that are beyond you) when presented with the same data on the tape go through exactly the same transitions. The same number of transitions, the same tape reads and writes, the same head moves. Whatever one "sees" and acts upon the other "sees" and acts upon in exactly the same way. They have identical behaviour, step by tiny step. If H^.qx <H^><H^> |- H^.qn then H <H^><H^> |- H.qn and there is nothing you can do to avoid this mistake other than to stop talking about TMs. Your unpublished code can do all sorts of things based on what it "sees", because code has access to data sources that are not there for a TM. And by keeping it hidden no one can be absolutely sure what tricks you are up to. -- Ben.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 17:36 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <5NGdncRfrbxnp6T8nZ2dnUU7-SWdnZ2d@giganews.com> |
| In reply to | #39157 |
On 9/8/2021 5:11 PM, Ben Bacarisse wrote: > olcott <NoOne@NoWhere.com> writes: > >> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>> olcott <NoOne@NoWhere.com> writes: >>> >>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>> olcott <NoOne@NoWhere.com> writes: >>>>> >>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>> TMs don't 'see' anything. >>>> >>>> OK so in other words a TM always ignores all of its tape elements. >>> No. And, frankly, that's a childish way to avoid the issue. >> >> Not as childish as you not being able to understand what it means when >> a machine sees a sequence of data indicating an execution trace. > > Whatever one "sees", the other "sees". Two identical TMs (I referred to > their state transition functions because there are other technical > matters that are beyond you) when presented with the same data on the > tape go through exactly the same transitions. So in other words you are saying that the simulated TM description Y that UTM X is simulating can see all of the behavior of its simulator? > The same number of > transitions, the same tape reads and writes, the same head moves. > Whatever one "sees" and acts upon the other "sees" and acts upon in > exactly the same way. They have identical behaviour, step by tiny step. > If > > H^.qx <H^><H^> |- H^.qn > > then > > H <H^><H^> |- H.qn > > and there is nothing you can do to avoid this mistake other than to stop > talking about TMs. > > Your unpublished code can do all sorts of things based on what it > "sees", because code has access to data sources that are not there for a > TM. And by keeping it hidden no one can be absolutely sure what tricks > you are up to. > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2021-09-09 01:21 +0100 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <87zgsmbnu8.fsf@bsb.me.uk> |
| In reply to | #39160 |
olcott <NoOne@NoWhere.com> writes: > On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>> olcott <NoOne@NoWhere.com> writes: >>>> >>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>> >>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>> TMs don't 'see' anything. >>>>> >>>>> OK so in other words a TM always ignores all of its tape elements. >>>> No. And, frankly, that's a childish way to avoid the issue. >>> >>> Not as childish as you not being able to understand what it means when >>> a machine sees a sequence of data indicating an execution trace. >> Whatever one "sees", the other "sees". Two identical TMs (I referred to >> their state transition functions because there are other technical >> matters that are beyond you) when presented with the same data on the >> tape go through exactly the same transitions. > > So in other words you are saying that the simulated TM description Y > that UTM X is simulating can see all of the behavior of its simulator? At this point I don't think I can help any more. I can't think of any way of explaining it more clearly. In fact, I'm not at all sure you really don't understand -- it's such a simple point -- but I have to take your word for it. You are doomed to be wrong and not know it. If you keep posting about TMs, I think it's worth pointing out why you are wrong for the benefit of anyone else who might come across the post, but I can't see how you can ever "get it". >> The same number of >> transitions, the same tape reads and writes, the same head moves. >> Whatever one "sees" and acts upon the other "sees" and acts upon in >> exactly the same way. They have identical behaviour, step by tiny step. >> If >> H^.qx <H^><H^> |- H^.qn >> then >> H <H^><H^> |- H.qn >> and there is nothing you can do to avoid this mistake other than to stop >> talking about TMs. >> Your unpublished code can do all sorts of things based on what it >> "sees", because code has access to data sources that are not there for a >> TM. And by keeping it hidden no one can be absolutely sure what tricks >> you are up to. >> -- Ben.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 19:41 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <79ydnXHUvbapxaT8nZ2dnUU78b_NnZ2d@giganews.com> |
| In reply to | #39174 |
On 9/8/2021 7:21 PM, Ben Bacarisse wrote: > olcott <NoOne@NoWhere.com> writes: > >> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>> olcott <NoOne@NoWhere.com> writes: >>> >>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>> olcott <NoOne@NoWhere.com> writes: >>>>> >>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>> >>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>> TMs don't 'see' anything. >>>>>> >>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>> No. And, frankly, that's a childish way to avoid the issue. >>>> >>>> Not as childish as you not being able to understand what it means when >>>> a machine sees a sequence of data indicating an execution trace. >>> Whatever one "sees", the other "sees". Two identical TMs (I referred to >>> their state transition functions because there are other technical >>> matters that are beyond you) when presented with the same data on the >>> tape go through exactly the same transitions. >> >> So in other words you are saying that the simulated TM description Y >> that UTM X is simulating can see all of the behavior of its simulator? > > At this point I don't think I can help any more. I can't think of any > way of explaining it more clearly. In fact, I'm not at all sure you > really don't understand -- it's such a simple point -- but I have to > take your word for it. You are doomed to be wrong and not know it. > The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is that a UTM can see what its slave is doing whereas the slave cannot see what the UTM is doing. When you make a mistake I show you how to understand that your mistake is obvious. It is obvious that the simulated TM cannot see what its UTM is doing. It is not so obvious that this provides the basis for H and its simulated input to have different behavior. > If you keep posting about TMs, I think it's worth pointing out why you > are wrong for the benefit of anyone else who might come across the post, > but I can't see how you can ever "get it". > >>> The same number of >>> transitions, the same tape reads and writes, the same head moves. >>> Whatever one "sees" and acts upon the other "sees" and acts upon in >>> exactly the same way. They have identical behaviour, step by tiny step. >>> If >>> H^.qx <H^><H^> |- H^.qn >>> then >>> H <H^><H^> |- H.qn >>> and there is nothing you can do to avoid this mistake other than to stop >>> talking about TMs. >>> Your unpublished code can do all sorts of things based on what it >>> "sees", because code has access to data sources that are not there for a >>> TM. And by keeping it hidden no one can be absolutely sure what tricks >>> you are up to. >>> > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Richard Damon <Richard@Damon-Family.org> |
|---|---|
| Date | 2021-09-08 21:18 -0400 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <Chd_I.31488$GD7.12852@fx23.iad> |
| In reply to | #39178 |
On 9/8/21 8:41 PM, olcott wrote: > On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>> olcott <NoOne@NoWhere.com> writes: >>>> >>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>> >>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>> >>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>> TMs don't 'see' anything. >>>>>>> >>>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>> >>>>> Not as childish as you not being able to understand what it means when >>>>> a machine sees a sequence of data indicating an execution trace. >>>> Whatever one "sees", the other "sees". Two identical TMs (I >>>> referred to >>>> their state transition functions because there are other technical >>>> matters that are beyond you) when presented with the same data on the >>>> tape go through exactly the same transitions. >>> >>> So in other words you are saying that the simulated TM description Y >>> that UTM X is simulating can see all of the behavior of its simulator? >> >> At this point I don't think I can help any more. I can't think of any >> way of explaining it more clearly. In fact, I'm not at all sure you >> really don't understand -- it's such a simple point -- but I have to >> take your word for it. You are doomed to be wrong and not know it. >> > > The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is that > a UTM can see what its slave is doing whereas the slave cannot see what > the UTM is doing. Except that what the simulated machine does isn't dependent on the machine simulating it. H^(<H^>) Halts by its self just fine, and UTM(<H^>,<H^>) agrees with that. The issue you run into is that H doesn't actually use a full UTM, but only a PARTIAL one, H doesn't see ALL of the behavior of H^, but only part of it since it has to follow its coding. > > When you make a mistake I show you how to understand that your mistake > is obvious. It is obvious that the simulated TM cannot see what its UTM > is doing. It is not so obvious that this provides the basis for H and > its simulated input to have different behavior. But it doesn't need to know what the UTM is going to do. It CAN include a copy of H and ask it what its algorithm is going to answer when given a input, and because H is limited by the need to give answers in finite time, it can't work out a right answer. H^ has MORE power than H, because H^ can call H, and due to the rules, H has to answer, but H can only simulate H^, and H^ isn't required to show what its going to do in any bounded time limit that H is working under. Just because H is simulating, doesn't give H any more options, as ALL its 'choices' had to be decided before it even starts the simulation and locked into place. Maybe you don't understand the fact that H is limited by determinism, like ALL computer programs.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 21:21 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <OqidnSWRNOkv8qT8nZ2dnUU7-Y_NnZ2d@giganews.com> |
| In reply to | #39181 |
On 9/8/2021 8:18 PM, Richard Damon wrote: > On 9/8/21 8:41 PM, olcott wrote: >> On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >>> olcott <NoOne@NoWhere.com> writes: >>> >>>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>>> olcott <NoOne@NoWhere.com> writes: >>>>> >>>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>> >>>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>> >>>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>>> TMs don't 'see' anything. >>>>>>>> >>>>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>>> >>>>>> Not as childish as you not being able to understand what it means when >>>>>> a machine sees a sequence of data indicating an execution trace. >>>>> Whatever one "sees", the other "sees". Two identical TMs (I >>>>> referred to >>>>> their state transition functions because there are other technical >>>>> matters that are beyond you) when presented with the same data on the >>>>> tape go through exactly the same transitions. >>>> >>>> So in other words you are saying that the simulated TM description Y >>>> that UTM X is simulating can see all of the behavior of its simulator? >>> >>> At this point I don't think I can help any more. I can't think of any >>> way of explaining it more clearly. In fact, I'm not at all sure you >>> really don't understand -- it's such a simple point -- but I have to >>> take your word for it. You are doomed to be wrong and not know it. >>> >> >> The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is that >> a UTM can see what its slave is doing whereas the slave cannot see what >> the UTM is doing. > > Except that what the simulated machine does isn't dependent on the > machine simulating it. H^(<H^>) Halts by its self just fine, and > UTM(<H^>,<H^>) agrees with that. > And H also agrees with that. > The issue you run into is that H doesn't actually use a full UTM, but > only a PARTIAL one, H doesn't see ALL of the behavior of H^, but only > part of it since it has to follow its coding. H simulates its input as a pure UTM until this input matches a never halting behavior pattern. Every nesting simulation of the C/x86 H acts as a pure x86 emulator of its input until this input matches the INFINITE_RECURSION or INFINITE_LOOP behavior pattern. > >> >> When you make a mistake I show you how to understand that your mistake >> is obvious. It is obvious that the simulated TM cannot see what its UTM >> is doing. It is not so obvious that this provides the basis for H and >> its simulated input to have different behavior. > > But it doesn't need to know what the UTM is going to do. It CAN include > a copy of H and ask it what its algorithm is going to answer when given > a input, and because H is limited by the need to give answers in finite > time, it can't work out a right answer. > > H^ has MORE power than H, because H^ can call H, and due to the rules, H > has to answer, but H can only simulate H^, and H^ isn't required to show > what its going to do in any bounded time limit that H is working under. > > Just because H is simulating, doesn't give H any more options, as ALL > its 'choices' had to be decided before it even starts the simulation and > locked into place. > > Maybe you don't understand the fact that H is limited by determinism, > like ALL computer programs. > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Richard Damon <Richard@Damon-Family.org> |
|---|---|
| Date | 2021-09-08 23:05 -0400 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <TRe_I.3357$uU5.621@fx13.iad> |
| In reply to | #39192 |
On 9/8/21 10:21 PM, olcott wrote: > On 9/8/2021 8:18 PM, Richard Damon wrote: >> On 9/8/21 8:41 PM, olcott wrote: >>> On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >>>> olcott <NoOne@NoWhere.com> writes: >>>> >>>>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>> >>>>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>> >>>>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>>> >>>>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>>>> TMs don't 'see' anything. >>>>>>>>> >>>>>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>>>> >>>>>>> Not as childish as you not being able to understand what it means >>>>>>> when >>>>>>> a machine sees a sequence of data indicating an execution trace. >>>>>> Whatever one "sees", the other "sees". Two identical TMs (I >>>>>> referred to >>>>>> their state transition functions because there are other technical >>>>>> matters that are beyond you) when presented with the same data on the >>>>>> tape go through exactly the same transitions. >>>>> >>>>> So in other words you are saying that the simulated TM description Y >>>>> that UTM X is simulating can see all of the behavior of its simulator? >>>> >>>> At this point I don't think I can help any more. I can't think of any >>>> way of explaining it more clearly. In fact, I'm not at all sure you >>>> really don't understand -- it's such a simple point -- but I have to >>>> take your word for it. You are doomed to be wrong and not know it. >>>> >>> >>> The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is that >>> a UTM can see what its slave is doing whereas the slave cannot see what >>> the UTM is doing. >> >> Except that what the simulated machine does isn't dependent on the >> machine simulating it. H^(<H^>) Halts by its self just fine, and >> UTM(<H^>,<H^>) agrees with that. >> > > And H also agrees with that. No, YOU have said that H(<H^>,<H^>) says non-Halting It is H1, which is a DIFFERENT machine that says H1(<H^>,<H^>) that says halting. Keep your story straight. > >> The issue you run into is that H doesn't actually use a full UTM, but >> only a PARTIAL one, H doesn't see ALL of the behavior of H^, but only >> part of it since it has to follow its coding. > > H simulates its input as a pure UTM until this input matches a never > halting behavior pattern. Then it ISN'T a pure UTM. And just above you agreed that H^(<H^>) was Halting, so it CAN'T match a non-halting pattern. > > Every nesting simulation of the C/x86 H acts as a pure x86 emulator of > its input until this input matches the INFINITE_RECURSION or > INFINITE_LOOP behavior pattern. But since it abort the simulation, it isn't one. Also, just because the pattern matches one non-halting machine, doesn't mean that the pattern proves non-halting. After all, a black cat is a cat, but that doesn't mean that blackness implies catness, or you would be claiming that black dogs were cats. UNSOUND LOGIC.
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| From | olcott <NoOne@NoWhere.com> |
|---|---|
| Date | 2021-09-08 22:09 -0500 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <n-ednbirQYd456T8nZ2dnUU7-QWdnZ2d@giganews.com> |
| In reply to | #39196 |
On 9/8/2021 10:05 PM, Richard Damon wrote: > On 9/8/21 10:21 PM, olcott wrote: >> On 9/8/2021 8:18 PM, Richard Damon wrote: >>> On 9/8/21 8:41 PM, olcott wrote: >>>> On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >>>>> olcott <NoOne@NoWhere.com> writes: >>>>> >>>>>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>> >>>>>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>> >>>>>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>>>> >>>>>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>>>>> TMs don't 'see' anything. >>>>>>>>>> >>>>>>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>>>>> >>>>>>>> Not as childish as you not being able to understand what it means >>>>>>>> when >>>>>>>> a machine sees a sequence of data indicating an execution trace. >>>>>>> Whatever one "sees", the other "sees". Two identical TMs (I >>>>>>> referred to >>>>>>> their state transition functions because there are other technical >>>>>>> matters that are beyond you) when presented with the same data on the >>>>>>> tape go through exactly the same transitions. >>>>>> >>>>>> So in other words you are saying that the simulated TM description Y >>>>>> that UTM X is simulating can see all of the behavior of its simulator? >>>>> >>>>> At this point I don't think I can help any more. I can't think of any >>>>> way of explaining it more clearly. In fact, I'm not at all sure you >>>>> really don't understand -- it's such a simple point -- but I have to >>>>> take your word for it. You are doomed to be wrong and not know it. >>>>> >>>> >>>> The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is that >>>> a UTM can see what its slave is doing whereas the slave cannot see what >>>> the UTM is doing. >>> >>> Except that what the simulated machine does isn't dependent on the >>> machine simulating it. H^(<H^>) Halts by its self just fine, and >>> UTM(<H^>,<H^>) agrees with that. >>> >> >> And H also agrees with that. > > No, YOU have said that H(<H^>,<H^>) says non-Halting > You keep conflating two different proofs. Do you do this intentionally or are you really that confused? > It is H1, which is a DIFFERENT machine that says H1(<H^>,<H^>) that says > halting. > > Keep your story straight. > >> >>> The issue you run into is that H doesn't actually use a full UTM, but >>> only a PARTIAL one, H doesn't see ALL of the behavior of H^, but only >>> part of it since it has to follow its coding. >> >> H simulates its input as a pure UTM until this input matches a never >> halting behavior pattern. > > Then it ISN'T a pure UTM. And just above you agreed that H^(<H^>) was > Halting, so it CAN'T match a non-halting pattern. > >> >> Every nesting simulation of the C/x86 H acts as a pure x86 emulator of >> its input until this input matches the INFINITE_RECURSION or >> INFINITE_LOOP behavior pattern. > > But since it abort the simulation, it isn't one. > > Also, just because the pattern matches one non-halting machine, doesn't > mean that the pattern proves non-halting. > > After all, a black cat is a cat, but that doesn't mean that blackness > implies catness, or you would be claiming that black dogs were cats. > > UNSOUND LOGIC. > -- Copyright 2021 Pete Olcott "Great spirits have always encountered violent opposition from mediocre minds." Einstein
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| From | Richard Damon <Richard@Damon-Family.org> |
|---|---|
| Date | 2021-09-08 23:31 -0400 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <yef_I.75623$rl3.52133@fx45.iad> |
| In reply to | #39197 |
On 9/8/21 11:09 PM, olcott wrote: > On 9/8/2021 10:05 PM, Richard Damon wrote: >> On 9/8/21 10:21 PM, olcott wrote: >>> On 9/8/2021 8:18 PM, Richard Damon wrote: >>>> On 9/8/21 8:41 PM, olcott wrote: >>>>> On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>> >>>>>>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>> >>>>>>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>>> >>>>>>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>>>>>> >>>>>>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>>>>>> TMs don't 'see' anything. >>>>>>>>>>> >>>>>>>>>>> OK so in other words a TM always ignores all of its tape >>>>>>>>>>> elements. >>>>>>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>>>>>> >>>>>>>>> Not as childish as you not being able to understand what it means >>>>>>>>> when >>>>>>>>> a machine sees a sequence of data indicating an execution trace. >>>>>>>> Whatever one "sees", the other "sees". Two identical TMs (I >>>>>>>> referred to >>>>>>>> their state transition functions because there are other technical >>>>>>>> matters that are beyond you) when presented with the same data >>>>>>>> on the >>>>>>>> tape go through exactly the same transitions. >>>>>>> >>>>>>> So in other words you are saying that the simulated TM description Y >>>>>>> that UTM X is simulating can see all of the behavior of its >>>>>>> simulator? >>>>>> >>>>>> At this point I don't think I can help any more. I can't think of >>>>>> any >>>>>> way of explaining it more clearly. In fact, I'm not at all sure you >>>>>> really don't understand -- it's such a simple point -- but I have to >>>>>> take your word for it. You are doomed to be wrong and not know it. >>>>>> >>>>> >>>>> The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ is >>>>> that >>>>> a UTM can see what its slave is doing whereas the slave cannot see >>>>> what >>>>> the UTM is doing. >>>> >>>> Except that what the simulated machine does isn't dependent on the >>>> machine simulating it. H^(<H^>) Halts by its self just fine, and >>>> UTM(<H^>,<H^>) agrees with that. >>>> >>> >>> And H also agrees with that. >> >> No, YOU have said that H(<H^>,<H^>) says non-Halting >> > > You keep conflating two different proofs. > Do you do this intentionally or are you really that confused? Maybe if you used clearer names. You have NEVER shown a H that actually answer that H(H^,H^) would answer 1, to say halting. Only H1, which is a different machine that you want to call the same. You don't get to pull that one. > >> It is H1, which is a DIFFERENT machine that says H1(<H^>,<H^>) that says >> halting. >> >> Keep your story straight. >> >>> >>>> The issue you run into is that H doesn't actually use a full UTM, but >>>> only a PARTIAL one, H doesn't see ALL of the behavior of H^, but only >>>> part of it since it has to follow its coding. >>> >>> H simulates its input as a pure UTM until this input matches a never >>> halting behavior pattern. >> >> Then it ISN'T a pure UTM. And just above you agreed that H^(<H^>) was >> Halting, so it CAN'T match a non-halting pattern. >> >>> >>> Every nesting simulation of the C/x86 H acts as a pure x86 emulator of >>> its input until this input matches the INFINITE_RECURSION or >>> INFINITE_LOOP behavior pattern. >> >> But since it abort the simulation, it isn't one. >> >> Also, just because the pattern matches one non-halting machine, doesn't >> mean that the pattern proves non-halting. >> >> After all, a black cat is a cat, but that doesn't mean that blackness >> implies catness, or you would be claiming that black dogs were cats. >> >> UNSOUND LOGIC. >> > >
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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2021-09-09 02:54 +0100 |
| Subject | Re: H1(P,P) is a halt decider for P(P) [ Refuting Rice's Theorem ] |
| Message-ID | <87lf46bjjt.fsf@bsb.me.uk> |
| In reply to | #39178 |
olcott <NoOne@NoWhere.com> writes: > On 9/8/2021 7:21 PM, Ben Bacarisse wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> On 9/8/2021 5:11 PM, Ben Bacarisse wrote: >>>> olcott <NoOne@NoWhere.com> writes: >>>> >>>>> On 9/8/2021 3:42 PM, Ben Bacarisse wrote: >>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>> >>>>>>> On 9/8/2021 11:49 AM, Ben Bacarisse wrote: >>>>>>>> olcott <NoOne@NoWhere.com> writes: >>>>>>>> >>>>>>>>> H ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input halts and >>>>>>>>> Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ can see that its input never halts >>>>>>>> TMs don't 'see' anything. >>>>>>> >>>>>>> OK so in other words a TM always ignores all of its tape elements. >>>>>> No. And, frankly, that's a childish way to avoid the issue. >>>>> >>>>> Not as childish as you not being able to understand what it means when >>>>> a machine sees a sequence of data indicating an execution trace. >>>> Whatever one "sees", the other "sees". Two identical TMs (I referred to >>>> their state transition functions because there are other technical >>>> matters that are beyond you) when presented with the same data on the >>>> tape go through exactly the same transitions. >>> >>> So in other words you are saying that the simulated TM description Y >>> that UTM X is simulating can see all of the behavior of its simulator? >> >> At this point I don't think I can help any more. I can't think of any >> way of explaining it more clearly. In fact, I'm not at all sure you >> really don't understand -- it's such a simple point -- but I have to >> take your word for it. You are doomed to be wrong and not know it. > > The reason that H has different behavior than its input ⟨Ĥ⟩ ⟨Ĥ⟩ ... No one disputes that. You really don't know what's going on. It's H.q0 <H^><H^> and H^.qx <H^><H^> that exhibit exactly the same behaviour. Specifically, both transition to the rejecting state qn. > When you make a mistake I show you how to understand that your mistake > is obvious. It is obvious that the simulated TM cannot see what its > UTM is doing. It is not so obvious that this provides the basis for H > and its simulated input to have different behavior. You are totally at sea. I don't see any hope of you every understanding what's being said. Identical transition functions imply identical computations given identical inputs. You need to stop waffling and start paying attention. >> If you keep posting about TMs, I think it's worth pointing out why you >> are wrong for the benefit of anyone else who might come across the post, >> but I can't see how you can ever "get it". >> >>>> The same number of >>>> transitions, the same tape reads and writes, the same head moves. >>>> Whatever one "sees" and acts upon the other "sees" and acts upon in >>>> exactly the same way. They have identical behaviour, step by tiny step. >>>> If >>>> H^.qx <H^><H^> |- H^.qn >>>> then >>>> H <H^><H^> |- H.qn >>>> and there is nothing you can do to avoid this mistake other than to stop >>>> talking about TMs. -- Ben.
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