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| From | olcott <polcott2@gmail.com> |
|---|---|
| Newsgroups | comp.theory, sci.logic, comp.ai.philosophy |
| Subject | Re: Decidability Decider H |
| Date | 2023-07-03 21:20 -0500 |
| Organization | A noiseless patient Spider |
| Message-ID | <u7vvlt$3vdfm$1@dont-email.me> (permalink) |
| References | (17 earlier) <KLFoM.17237$W7d4.13308@fx18.iad> <u7van2$3ppvb$1@dont-email.me> <DVGoM.4990$zQS.3689@fx41.iad> <u7vess$3q766$2@dont-email.me> <ztHoM.4993$zQS.3002@fx41.iad> |
Cross-posted to 3 groups.
On 7/3/2023 4:55 PM, Richard Damon wrote: > On 7/3/23 5:34 PM, olcott wrote: >> On 7/3/2023 4:17 PM, Richard Damon wrote: >>> On 7/3/23 4:22 PM, olcott wrote: >>>> On 7/3/2023 2:58 PM, Richard Damon wrote: >>>>> On 7/3/23 2:48 PM, olcott wrote: >>>>>> On 7/3/2023 1:25 PM, Richard Damon wrote: >>>>>>> On 7/3/23 1:57 PM, olcott wrote: >>>>>>>> On 7/3/2023 11:26 AM, Richard Damon wrote: >>>>>>>>> On 7/3/23 12:11 PM, olcott wrote: >>>>>>>>>> On 7/3/2023 11:01 AM, Richard Damon wrote: >>>>>>>>>>> On 7/3/23 11:56 AM, olcott wrote: >>>>>>>>>>>> On 7/3/2023 10:35 AM, Richard Damon wrote: >>>>>>>>>>>>> On 7/3/23 10:45 AM, olcott wrote: >>>>>>>>>>>>>> On 7/3/2023 9:24 AM, Richard Damon wrote: >>>>>>>>>>>>>>> On 7/3/23 9:47 AM, olcott wrote: >>>>>>>>>>>>>>>> On 7/3/2023 8:14 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>> On 7/2/23 10:48 PM, olcott wrote: >>>>>>>>>>>>>>>>>> On 7/2/2023 9:41 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 7/2/23 10:01 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>> On 7/2/2023 8:40 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 7/2/23 8:45 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>> A single H can consistently correctly determine >>>>>>>>>>>>>>>>>>>>>> whether or not its input >>>>>>>>>>>>>>>>>>>>>> is pathological relative to itself. When H(D,D) is >>>>>>>>>>>>>>>>>>>>>> invoked in >>>>>>>>>>>>>>>>>>>>>> decidability decider mode determines that D is >>>>>>>>>>>>>>>>>>>>>> pathological relative to >>>>>>>>>>>>>>>>>>>>>> itself this enables a batch file to invoke H1(D,D) >>>>>>>>>>>>>>>>>>>>>> to get the actual >>>>>>>>>>>>>>>>>>>>>> behavior of the directly executed D(D). H1 is >>>>>>>>>>>>>>>>>>>>>> identical to H except for >>>>>>>>>>>>>>>>>>>>>> the pathological relationship to H. >>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> And does an input D that uses this FULL algorithm >>>>>>>>>>>>>>>>>>>>> give your algorithm problems? >>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> Since H(D,D) will (apparently) determine that the >>>>>>>>>>>>>>>>>>>>> input is pathological, and thus defer to H1(D,D), >>>>>>>>>>>>>>>>>>>>> then when we actually run D, appearently it will >>>>>>>>>>>>>>>>>>>>> get that same answer from H1 and do the opposite of >>>>>>>>>>>>>>>>>>>>> it, and thus H1 will be wrong. >>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> Remember, the "Pathological" program is built on a >>>>>>>>>>>>>>>>>>>>> copy of the ACTUAL program that you ask to decide >>>>>>>>>>>>>>>>>>>>> on it, including ALL of its "tricks", including >>>>>>>>>>>>>>>>>>>>> things like this "batch processing". >>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>> You seem to be assuming that there is some >>>>>>>>>>>>>>>>>>>>> "Operationg System" outside the Decider - Input >>>>>>>>>>>>>>>>>>>>> structure, but there isn't, at least not one that >>>>>>>>>>>>>>>>>>>>> can affect the answer of the problem. >>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>> I spent 12 hours a day for the last 10 days getting >>>>>>>>>>>>>>>>>>>> the copy the input >>>>>>>>>>>>>>>>>>>> working. When H(D,D) (in decidability decider mode) >>>>>>>>>>>>>>>>>>>> detects that its >>>>>>>>>>>>>>>>>>>> input is in the well defined set of pathological >>>>>>>>>>>>>>>>>>>> inputs it returns 0 >>>>>>>>>>>>>>>>>>>> indicating that its input is undecidable. The batch >>>>>>>>>>>>>>>>>>>> file that invoked H >>>>>>>>>>>>>>>>>>>> then knows to invoke H1(D,D) to correctly report >>>>>>>>>>>>>>>>>>>> that D(D) halts. >>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>> This solution does seem to work correctly on every >>>>>>>>>>>>>>>>>>>> conventional proof in >>>>>>>>>>>>>>>>>>>> every textbook. >>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>> So, did you make your "conventional proof" template >>>>>>>>>>>>>>>>>>> actually use a copy of your ACTUAL decider (which >>>>>>>>>>>>>>>>>>> seems to be your "batch file" not the C funciton H), >>>>>>>>>>>>>>>>>>> or are you just admitting that you wasted 120 hours >>>>>>>>>>>>>>>>>>> looking at the wrong thing because you have made >>>>>>>>>>>>>>>>>>> yourself intentionally ignorant of the subject so you >>>>>>>>>>>>>>>>>>> don't understand what you are trying to do. >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> New_D copies its input and simulates its input with >>>>>>>>>>>>>>>>>> its input. >>>>>>>>>>>>>>>>>> It never sees New_H. >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> Why not? Since New_H is the thing that is considered >>>>>>>>>>>>>>>>> the "Correct Halt Decider", New_D needs to be built on it. >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> New_H is embedded within New_D (as its middle states) >>>>>>>>>>>>>>>> just the >>>>>>>>>>>>>>>> way it is supposed to be. The question is: Does >>>>>>>>>>>>>>>> New_H(New_H) halt? >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> The only difference at the source code level is: >>>>>>>>>>>>>>>> (a) New_H copies its input, thus takes one param. >>>>>>>>>>>>>>>> (b) New_H has an infinite loop at its accept state. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> So, how is New_H a halt decider then? >>>>>>>>>>>>>> >>>>>>>>>>>>>> typo >>>>>>>>>>>>>> The only difference at the source code level is: >>>>>>>>>>>>>> (a) New_D copies its input, thus takes one param. >>>>>>>>>>>>>> (b) New_D has an infinite loop at its accept state. >>>>>>>>>>>>>> Other than that (at the source-code level) New_D is >>>>>>>>>>>>>> exactly New_H >>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>> >>>>>>>>>>>>> But New_D needs to call New_H, >>>>>>>>>>>> >>>>>>>>>>>> Not in the Peter Linz proof: >>>>>>>>>>>> https://www.liarparadox.org/Linz_Proof.pdf >>>>>>>>>>>> >>>>>>>>>>>> In the Linz proof a copy of H is directly embedded >>>>>>>>>>>> within Ĥ at this state: Ĥq0 Wm Wm >>>>>>>>>>>> The original H remains unchanged. >>>>>>>>>>>> >>>>>>>>>>>> The halting problem is about undecidable inputs, it is not >>>>>>>>>>>> about >>>>>>>>>>>> inserting bugs into a halt decider to make it cease to >>>>>>>>>>>> function. >>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>> >>>>>>>>>>> Right, and in Linz, H is the decider that is claimed to give >>>>>>>>>>> the right answer. >>>>>>>>>>> >>>>>>>>>>> That isn't 'H' in your system, but the script that decides >>>>>>>>>>> whether to use H or H1. >>>>>>>>>>> >>>>>>>>>>> Your error is in calling the wrong thing 'H' >>>>>>>>>>> >>>>>>>>>>> You are just showing you are lying by using the wrong name >>>>>>>>>>> for things. >>>>>>>>>> >>>>>>>>>> You are using double-talk in a lame attempt to show that >>>>>>>>>> Linz H cannot correctly determine the halt status of Linz Ĥ. >>>>>>>>>> >>>>>>>>> >>>>>>>>> So you agree with the Theorem. >>>>>>>>> >>>>>>>>> No 'Linz H' can exist that correctly decides the halt status of >>>>>>>>> Linz Ĥ applied to the description of Linz Ĥ. >>>>>>>>> >>>>>>>>> That is EXACTLY the consequence of the Halting Theorem. >>>>>>>>> >>>>>>>>> >>>>>>>>> Please show an ACTUAL 'Linz H' that correctly gets the results >>>>>>>>> of the 'Linz Ĥ' built on it. You keep on changing H and trying >>>>>>>>> to use the old Ĥ which just fails to meet the requirement of >>>>>>>>> the proof, likely because you just don't understand the theory >>>>>>>>> involved. >>>>>>>> >>>>>>>> It took me two years to figure out a clean way to copy the input to >>>>>>>> Linz_H_Hat and not have the system crash. Relative to Linz_H_Hat >>>>>>>> Linz_H is H1. Now Linz_H_Hat only contradicts itself. >>>>>>>> >>>>>>> >>>>>>> So, you are admitting that you actually can't do what is required? >>>>>>> >>>>>>> Copying the input should be trivial, >>>>>> >>>>>> The relative addressing of the x86 language causes all function >>>>>> calls to call the wrong address. >>>>> >>>>> Only because you aren't interpreting the input properly, but in a >>>>> non-Turing Complete manner. >>>>> >>>>> As I said, the input description should be a chunck of code in a >>>>> virtual address space with a header that tells where that code is >>>>> supposed to be considered to be located at. >>>>> >>>>>> >>>>>>> as the input should be a representation that packages a full >>>>>>> program in its own virtual environment, so a simple bit by bit >>>>>>> copy to empty ram will work. Your problem is that you don't put >>>>>>> the input into its own virtual address space, so you have >>>>>>> pathological interactions. >>>>>>> >>>>>>> Linz_H_Hat must be built on the exact code base that is deciding >>>>>>> on it, in this case H, since you just said it isn't, your proof >>>>>>> is invalid. >>>>>>> >>>>>> >>>>>> Linz_Hat <is> Linz_H that takes one param and copies it instead of >>>>>> two params and has an infinite loop at its accept state. >>>>> >>>>> So, Two things that are different are exactly the same? >>>>> >>>> >>>> It exactly matches the Linz spec. >>>> >>>>> You don't seem to understand what you are doing. >>>>> >>>>> Linz_H_Hat (not Linz_Hat) is a Turing Machine with a defined >>>>> behavior. That behavior is a function of its input, but hasn't been >>>>> assigned any "meaning". >>>>> >>>>> Linz_H is a Turing Machine (if it actually can exist) that has a >>>>> defined meaning/requirement for its final states. Linz_H, to meet >>>>> its requirements, MUST go to Qy if the input represents a Halting >>>>> Computation, and MUST go to Qn if the input represents a >>>>> non-halting computation. >>>>> >>>>> Since Linz_H has actual requirements, a claimed implementation of >>>>> it can be checked to see if it actually meets the requirements, and >>>>> perhaps we can determine if it is possible to meet them. >>>>> >>>>>> >>>>>>> Note, Linz_H_Hat CAN'T "Contradict" itself, as doesn't generate >>>>>>> any truth values, only behavior. You are just showing that you >>>>>>> don't understand the basics of the requirements, and seem to >>>>>>> think that "close" is good enough for proofs. >>>>>> >>>>>> Linz_H_Hat(Linz_H_Hat) returns 0. >>>>>> >>>>> > Actually no. Linz_H_Hat(Linz_H_Hat) halts at state Qn, which has NO >>>>> defined meaning for Linz_H_Hat as it isn't defined to be a decider. >>>> >>>> Linz_H and Linz_H_Hat are C functions. >>>> Linz:H and Linz:Ĥ are Turing machines. >>> >>> So, inventing new terminology without introduction, thus showing you >>> are being intentionally deceptive. >>> >>>> >>>> Linz_H and Linz:H are both directly embedded within a copy of >>>> Linz_H_Hat and Linz:Ĥ thus a return value of 0 or a transition >>>> to Ĥ.qn still means not halting. >>> >>> No, because Linz_H_Hat / Linz:Ĥ are not "Halt Deciders" so there >>> return value has no meaning. >>> >>> Ĥ has no meaning, so it can't be "incorrect" or contradicted. >>> >>>> >>>> This allows Linz_H and Linz:H correctly report on the actual >>>> behavior of their input. >>>> >>>> >>> >>> No, since BOTH have an input that when run will HALT, and both report >>> that it will not, both are just wrong. >>> >>> Linz_H(Linz_H_Hat, Linz_H_Hat) is claimed to "correctly" return 0, >> *I never said that you are confused* > > You always claim that your H by its various names is "Correct" to return > 0 as the input is non-halting because its "correct simulation" will > never reach a final state. > > I think your brain is turning into mush, or is your pathology > overloading and trying to reverse the argument. > >> Linz_H_Hat(Linz_H_Hat) returns 0 permitting >> Linz_H(Linz_H_Hat, Linz_H_Hat) to correctly return 1. >> > > But if Linz_H(Linz_H_Hat, Linz_H_Hat) returns 1, which means Halting, Linz_H_Hat has its own embedded_H that returns 0. Linz_H_Hat has no access to Linz_H, only to its own embedded copy. Linz_H simply simulates Linz_H_Hat until it terminates. > it > means that Linz_H_Hat will go into the infinte loop on the Qy leg. > > Did you miss that parto of the design in Linz's proof. H^ has modified > the end of H so that Qy becomes a non-terminal state. > > Linz_H_Hat doesn't actually "return" a value, it just goes to Qn and Linz_H_Hat is a C function Linz:Ĥ is a Turing machine. They use the exact same algorithm. > halt or never halts. > -- Copyright 2023 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer
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Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 19:45 -0500
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Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 21:27 -0400
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 21:40 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 21:01 -0500
Re: Decidability Decider H Python <python@invalid.org> - 2023-07-03 04:05 +0200
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 22:37 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 22:10 -0500
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 22:54 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:14 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:10 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:41 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:09 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:00 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:49 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:03 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:13 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 09:42 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:44 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:05 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:03 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:56 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:08 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:30 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:34 -0400
Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 16:40 -0500
Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 20:51 -0500
Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 22:47 -0500
Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-04 00:06 -0400
Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 23:35 -0500
Re: Decidability Decider H [key Rice issue] Richard Damon <news.x.richarddamon@xoxy.net> - 2023-07-04 09:27 -0400
Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-04 16:32 -0500
Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-04 19:00 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:45 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:19 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:31 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:36 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 21:28 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 22:41 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 21:48 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:14 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 08:47 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 10:24 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 09:45 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:56 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:01 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:11 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 12:57 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:48 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:22 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:17 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:34 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 21:20 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 22:56 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-04 00:06 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 23:57 -0500
Re: Decidability Decider H Richard Damon <news.x.richarddamon@xoxy.net> - 2023-07-04 09:27 -0400
Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-04 16:52 -0500
Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-04 19:00 -0400
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