Termination Analyzer H is Not Fooled by Pathological Input D

Abstract

A pair of C functions are defined such that D has the halting problem proof's pathological relationship to simulating termination analyzer H. When H correctly determines that D correctly simulated by H must be aborted to prevent its own infinite execution then H is necessarily correct to reject D as specifying non-halting behavior. This exact same reasoning is applied to the Peter Linz Turing machine based halting problem proof.

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2023-03-14

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