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   sci.logic      Logic -- math, philosophy & computationa      262,912 messages   

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   Message 261,397 of 262,912   
   Mikko to All   
   Re: The halting problem is incorrect two   
   28 Nov 25 10:14:21   
   
   [continued from previous message]   
      
   >>>>>>>>>>>>> I am just talking at the level of the execution   
   >>>>>>>>>>>>> trace of C functions. D does specify non-halting   
   >>>>>>>>>>>>> behavior to its termination analyzer.   
   >>>>>>>>>>>>   
   >>>>>>>>>>>> The termination problem is not about specifying "to its   
   >>>>>>>>>>>> termination   
   >>>>>>>>>>>> analyzer". Instead the termination problem is to determine   
   >>>>>>>>>>>> whether   
   >>>>>>>>>>>> a program terminates every time when used as it was designed   
   >>>>>>>>>>>> to be   
   >>>>>>>>>>>> used.   
   >>>>>>>>>>>   
   >>>>>>>>>>> The halting problem requires that a halt decider   
   >>>>>>>>>>> correctly report on the behavior of its caller   
   >>>>>>>>>>> and no halt decider can even see its actual caller.   
   >>>>>>>>>>   
   >>>>>>>>>> Every halt decider is required to report on the behaviour   
   >>>>>>>>>> asked about.   
   >>>>>>>>>   
   >>>>>>>>> And this is incorrect when it has not access to   
   >>>>>>>>> the behavior that it is asked about.   
   >>>>>>>>   
   >>>>>>>> No, it is not. The solution to the halting problem must include the   
   >>>>>>>> necessary access. Conversely, a proof that the necessary access is   
   >>>>>>>> impossible is sufficient to prove that halting problem is   
   >>>>>>>> unsolvable.   
   >>>>>>>   
   >>>>>>> Reporing on the behavior of DD() executed from   
   >>>>>>> main requires HHH to report on information   
   >>>>>>> that is not contained in its input thus it is   
   >>>>>>> incorrect to require HHH to report on that.   
   >>>>>>   
   >>>>>> That HHH fails to meet the requirements does not mean that the   
   >>>>>> requirements are wrong. It merely meas that HHH is not a halt   
   >>>>>> decider.   
   >>>>>>   
   >>>>>   
   >>>>> That HHH fails to meet the requirements by itself does   
   >>>>> not mean that the requirements are wrong.   
   >>>>>   
   >>>>> Turing machine deciders only compute a mapping from   
   >>>>> their [finite string] inputs to an accept or reject   
   >>>>> state on the basis that this [finite string] input   
   >>>>> specifies or fails to specify a semantic or syntactic   
   >>>>> property.   
   >>>>>   
   >>>>> That the information that HHH is required to report   
   >>>>> on simply is not contained in its input is what makes   
   >>>>> the requirements wrong.   
   >>>>   
   >>>> No, it merely means that the designer ot HHH has failed to specify the   
   >>>> encoding rules so that the input contains the full specification of the   
   >>>> behaviour.   
   >>   
   >>> In other words you are trying to get away with   
   >>> disagreeing with the semantics of the x86 language   
   >>> or the semantics of the C programing language.   
   >>   
   >> You are the one who disagrees with the x86 processors about the x86   
   >> language semantics. When an x86 processor executes a program it executes   
   >> according to the x86 semantics. When DD is executed according to the x86   
   >> semantics it halts. Anybody who says that DD specifies a non-halting   
   >> behaviour disagrees with the x86 semantics.   
      
   > But, DD can halt or not halt, right?   
      
   When Olcott uses the name DD he means the particular program in his   
   GitHub repository except when he wants to deceive with equivocation.   
   The DD is Olcotts repository halts.   
      
   --   
   Mikko   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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