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arXiv · 1412.3271

A Second-Order Formulation of Non-Termination

Fred Mesnard·Etienne Payet
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Abstract

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is generally undecidable. However, by restricting the language to known decidable cases, we exhibit new classes of loops, the non-termination of which is decidable. We present a bunch of examples.

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Fred Mesnard, Etienne Payet. 2014-12-10. A Second-Order Formulation of Non-Termination. https://arxiv.org/abs/1412.3271

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