Weakly Equivalent Arrays

Jürgen Christ; Jochen Hoenicke

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arXiv · 1405.6939

Weakly Equivalent Arrays

Jürgen Christ·Jochen Hoenicke

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Abstract

The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. Current decision procedures for the theory of arrays saturate the read-over-write and extensionality axioms originally proposed by McCarthy. Various filters are used to limit the number of axiom instantiations while preserving completeness. We present an algorithm that lazily instantiates lemmas based on weak equivalence classes. These lemmas are easier to interpolate as they only contain existing terms. We formally define weak equivalence and show correctness of the resulting decision procedure.

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Jürgen Christ, Jochen Hoenicke. 2014-05-27. Weakly Equivalent Arrays. https://arxiv.org/abs/1405.6939

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