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PolySAT: Word-level Bit-vector Reasoning in Z3

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arxiv 2406.04696 v1 pith:TA2EGORJ submitted 2024-06-07 cs.LO

classification cs.LO
keywords bit-vectorpolysatarithmeticnon-linearpolynomialreasoningsolverword-level
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PolySAT is a word-level decision procedure supporting bit-precise SMT reasoning over polynomial arithmetic with large bit-vector operations. The PolySAT calculus extends conflict-driven clause learning modulo theories with two key components: (i) a bit-vector plugin to the equality graph, and (ii) a theory solver for bit-vector arithmetic with non-linear polynomials. PolySAT implements dedicated procedures to extract bit-vector intervals from polynomial inequalities. For the purpose of conflict analysis and resolution, PolySAT comes with on-demand lemma generation over non-linear bit-vector arithmetic. PolySAT is integrated into the SMT solver Z3 and has potential applications in model checking and smart contract verification where bit-blasting techniques on multipliers/divisions do not scale.

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  1. Scaling Program Synthesis Based Technology Mapping with Equality Saturation

    cs.PL 2024-11 conditional novelty 6.0 of 10

    An equality-saturation-based mapper (Churchroad) decomposes large designs and auto-generates sketches, letting a synthesis tool map multi-DSP circuits it could not handle alone.

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