Polynomial Analysis of Modular Arithmetic.
Static Analysis: 30th International Symposium, SAS 2023, Cascais, Portugal, October 22–24, 2023, Proceedings(2023)
Abstract
The modular polynomial abstract domain, MPAD, is proposed, whose invariants are systems of polynomial equations that hold modulo a power of 2. Its domain operations are founded on a closure operation, but unlike conventional polynomial abstractions, MPAD satisfies the ascending chain condition, can model both positive and negative polynomial guards, and can infer invariants previously out of reach.
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Key words
arithmetic
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