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A Second-Order Formulation of Non-Termination

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.

preprint2014arXivOpen access
Fred MesnardEtienne Payet
Logic in Computer Science
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Fred MesnardEtienne Payet

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