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raSAT: an SMT solver for polynomial constraints. (English) Zbl 1377.68140
Summary: This paper presents \(\mathbf {raSAT}\) SMT solver, which is aimed to handle polynomial constraints over both reals and integers with simple unified methodologies. Its three main features are (1) a \(\mathbf {raSAT}\) loop for inequalities, which adds testing to interval constraint propagation to accelerate SAT detection, (2) a non-constructive reasoning for equations over reals based on the generalized intermediate value theorem, and (3) soundness of floating-point arithmetic that is guaranteed by (a) rounding up/down over-approximations of intervals, and (b) confirmation of a satisfying instance detected by testing using the iRRAM package, which guarantees error bounds.

68Q60 Specification and verification (program logics, model checking, etc.)
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
Full Text: DOI
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