Abstract
The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. In this paper, we present an efficient decision procedure for the theory of arrays. We build upon the notion of weak equivalence. Intuitively, two arrays are weakly equivalent if they only differ at finitely many indices. We formalise this notion and show how to exploit weak equivalences to decide formulas in the quantifier-free fragment of the theory of arrays. We present a novel data structure to represent all weak equivalence classes induced by a formula in linear space (in the number of array terms). Experimental evidence shows that this technique is competitive with other approaches.
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Christ, J., Hoenicke, J. (2015). Weakly Equivalent Arrays. In: Lutz, C., Ranise, S. (eds) Frontiers of Combining Systems. FroCoS 2015. Lecture Notes in Computer Science(), vol 9322. Springer, Cham. https://doi.org/10.1007/978-3-319-24246-0_8
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DOI: https://doi.org/10.1007/978-3-319-24246-0_8
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