Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]
| Subject | Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) |
|---|---|
| Newsgroups | comp.theory |
| References | (6 earlier) <28Odnb4QI9a91OD_nZ2dnUU7_81g4p2d@giganews.com> <20220512190002.00001651@reddwarf.jmc> <nNSdnRSV0Zck0eD_nZ2dnUU7_83NnZ2d@giganews.com> <87bkw24ij5.fsf@bsb.me.uk> <L-ydnag1-YUx9uD_nZ2dnUU7_8xh4p2d@giganews.com> |
| From | Richard Damon <Richard@Damon-Family.org> |
| Message-ID | <VsgfK.10$SWc6.8@fx44.iad> (permalink) |
| Organization | Forte - www.forteinc.com |
| Date | 2022-05-12 19:09 -0400 |
On 5/12/22 4:18 PM, olcott wrote: > On 5/12/2022 3:12 PM, Ben wrote: >> olcott <NoOne@NoWhere.com> writes: >> >>> The halting criteria has been adapted so that >> >> H is no longer a halt decider. >> >>> it applies to a >>> simulating halt decider (SHD). >>> >>> Ĥ.q0 ⟨Ĥ⟩ ⊢* H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* H.qy >>> If the correctly simulated input ⟨Ĥ⟩ ⟨Ĥ⟩ to H would reach its own >>> final state of ⟨Ĥ.qy⟩ or ⟨Ĥ.qn⟩. >> >> This not Linz's Ĥ. Linz's H leads to a contradiction because of how H >> and the "hat" construction are defined. Using a different "hat" >> construction, and an "adapted" halt criterion, means you are not >> addressing Linz's (or anyone's) proof. Why do you think anyone will >> take any claims about your bogus seriously? >> >>> Ĥ.q0 ⟨Ĥ⟩ ⊢* H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* H.qn >>> If the correctly simulated input ⟨Ĥ⟩ ⟨Ĥ⟩ to H would never reach its >>> own final state of ⟨Ĥ.qy⟩ or ⟨Ĥ.qn⟩. >> >> A halt decider would have this simple behaviour: >> >> J ⟨M⟩ s ⊢* J.qy if M applied to s halts, and >> J ⟨M⟩ s ⊢* J.qn if M applied to s does not halt. >> >> (I've changed the name because you are abusing H and Ĥ to refer to TMs >> that do not meet Linz's specifications.) >> >> Which, with the correct "hat" construction applied, results in >> >> Ĵ.q0 ⟨Ĵ⟩ ⊢* J ⟨Ĵ⟩ ⟨Ĵ⟩ ⊢* J.qy ⊢* oo if J applied to ⟨Ĵ⟩ ⟨Ĵ⟩ >> halts, and >> Ĵ.q0 ⟨Ĵ⟩ ⊢* J ⟨Ĵ⟩ ⟨Ĵ⟩ ⊢* J.qn if J applied to ⟨Ĵ⟩ ⟨Ĵ⟩ does >> not halt >> >> which, as Linz says, is clearly nonsense. No TM can behave as Ĵ was >> assumed to behave. >> >> I bring this up only for the benefit of anyone who is still interested >> in how the proof works. You stopped talking about the halting problem >> and it's proofs some while ago, having failed to persuade anyone that >> the wrong answer is the right one. >> >>> Linz, Peter 1990. An Introduction to Formal Languages and >>> Automata. Lexington/Toronto: D. C. Heath and Company. (317-320) >> >> Bit of a nerve to cite Linz when you are ignoring his specification and >> his proof! >> > > My only point is that the input to embedded_H does specifies infinitely > nested simulation contradicting Flibble's claim that it does not, thus > my H(P,P) is equivalent to embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩. > The input to embedded_H only specifies infinitely nested simulations if H is designed to NEVER abort its simulation of this input, and if this is true, then H will not return an answer to H <H^> <H^> because it too will get stuck in the same infinite nested simulation loop.
Back to comp.theory | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread
Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 13:07 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-11 20:11 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 19:23 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 21:02 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:31 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:43 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:43 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:45 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 18:47 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 12:51 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 19:00 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 13:06 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 19:13 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 21:12 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 15:18 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 23:58 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:28 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 01:40 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 20:32 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:48 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 13:38 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 20:56 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 19:09 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:50 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:46 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 18:45 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 19:41 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 01:17 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 19:29 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 20:52 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 02:10 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-11 21:29 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-11 23:02 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-12 23:54 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:21 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 00:24 +0100
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) olcott <NoOne@NoWhere.com> - 2022-05-12 18:42 -0500
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Ben <ben.usenet@bsb.me.uk> - 2022-05-13 01:35 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-12 20:25 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:41 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 12:05 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:01 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 20:06 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 14:24 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 16:11 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 15:22 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-13 13:26 -0700
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 15:38 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 21:44 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] wij <wyniijj2@gmail.com> - 2022-05-13 13:27 -0700
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 17:22 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:48 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 18:04 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 17:06 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:07 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:09 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:20 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:26 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:04 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:20 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:41 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] André G. Isaak <agisaak@gm.invalid> - 2022-05-13 19:03 -0600
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 21:21 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 22:37 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 23:46 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 17:57 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 19:09 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:18 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 20:09 -0400
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:03 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:11 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:18 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:22 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:28 +0100
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 11:45 +0300
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-14 04:28 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 15:55 +0300
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-14 08:53 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-15 12:05 +0300
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-13 16:11 +0300
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] olcott <NoOne@NoWhere.com> - 2022-05-13 11:15 -0500
Re: Proof that H(P,P)==0 is correct [ foundation of truth itself ] Mikko <mikko.levanto@iki.fi> - 2022-05-14 11:26 +0300
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Richard Damon <Richard@Damon-Family.org> - 2022-05-12 21:03 -0400
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) Mikko <mikko.levanto@iki.fi> - 2022-05-13 16:02 +0300
Re: Proof that H(P,P)==0 is correct [ refuting the halting problem proofs ](V2) wij <wyniijj2@gmail.com> - 2022-05-13 12:21 -0700
csiph-web