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Simulating Termination Analzyers overcome conventional halting problem proof method

Olcott, P.
PhilArchive · Papers
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philosophy
Functions computed by Turing Machines are required to compute the mapping from their inputs and not allowed to take other executing Turing machines as inputs. This means that every directly executed Turing machine is outside of the domain of every function computed by any Turing machine. Within this basis simulating termination analyzer HHH(DD) correctly reports that DD correctly simulated by HHH cannot possibly reach its simulated “return” statement final halt state.
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