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arXiv · 2105.02541

From Bounded Checking to Verification of Equivalence via Symbolic Up-to Techniques

Vasileios Koutavas·Yu-Yang Lin·Nikos Tzevelekos
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Abstract

We present a bounded equivalence verification technique for higher-order programs with local state. This technique combines fully abstract symbolic environmental bisimulations similar to symbolic game semantics, novel up-to techniques, and lightweight state invariant annotations. This yields an equivalence verification technique with no false positives or negatives. The technique is bounded-complete, in that all inequivalences are automatically detected given large enough bounds. Moreover, several hard equivalences are proved automatically or after being annotated with state invariants. We realise the technique in a tool prototype called Hobbit and benchmark it with an extensive set of new and existing examples. Hobbit can prove many classical equivalences including all Meyer and Sieber examples.

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Vasileios Koutavas, Yu-Yang Lin, Nikos Tzevelekos. 2021-05-06. From Bounded Checking to Verification of Equivalence via Symbolic Up-to Techniques. https://arxiv.org/abs/2105.02541

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