Re: Refutation of the DisProof of the Halting Problem

From: Bryan Olson (bryanjugglercryptographer_at_yahoo.com)
Date: 07/27/04


Date: 26 Jul 2004 18:23:18 -0700

Peter Olcott wrote:
> It is a very surprising turn of events. There was one message
> That I read this morning that got me thinking. After I thought
> about it I realized that my solution would not apply to Turing
> Machines. Not that my solution required something more than
> a Turing Machine, but something less.

That much is right. A model of computation *less* powerful than
Turing's may admit a program that decides the model's halting
problem. Halting is undecidable in any programming language that
is 'complete' in the sense of the Church-Turing thesis.

-- 
--Bryan


Relevant Pages

  • Re: Refutation of the DisProof of the Halting Problem
    ... > It is a very surprising turn of events. ... > a Turing Machine, but something less. ... Turing's may admit a program that decides the model's halting ... Halting is undecidable in any programming language that ...
    (comp.theory)
  • Re: Refutation of the DisProof of the Halting Problem
    ... > It is a very surprising turn of events. ... > a Turing Machine, but something less. ... Turing's may admit a program that decides the model's halting ... Halting is undecidable in any programming language that ...
    (comp.lang.cpp)
  • Re: Refutation of the DisProof of the Halting Problem
    ... >> It is a very surprising turn of events. ... >> a Turing Machine, but something less. ... > Turing's may admit a program that decides the model's halting ... Halting is undecidable in any programming language that ...
    (comp.lang.cpp)
  • Re: Refutation of the DisProof of the Halting Problem
    ... >> It is a very surprising turn of events. ... >> a Turing Machine, but something less. ... > Turing's may admit a program that decides the model's halting ... Halting is undecidable in any programming language that ...
    (sci.logic)
  • Re: Refutation of the DisProof of the Halting Problem
    ... >> It is a very surprising turn of events. ... >> a Turing Machine, but something less. ... > Turing's may admit a program that decides the model's halting ... Halting is undecidable in any programming language that ...
    (comp.theory)