Autosolvability of halting problem instances for instruction sequences

J. A. Bergstra; C. A. Middelburg

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arXiv · 0911.5018

Autosolvability of halting problem instances for instruction sequences

J. A. Bergstra·C. A. Middelburg

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Abstract

We position Turing's result regarding the undecidability of the halting problem as a result about programs rather than machines. The mere requirement that a program of a certain kind must solve the halting problem for all programs of that kind leads to a contradiction in the case of a recent unsolvability result regarding the halting problem for programs. In this paper, we investigate this autosolvability requirement in a setting in which programs take the form of instruction sequences.

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J. A. Bergstra, C. A. Middelburg. 2009-11-26. Autosolvability of halting problem instances for instruction sequences. https://arxiv.org/abs/0911.5018

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