Satisfiability Modulo ODEs

Sicun Gao; Soonho Kong; Edmund Clarke

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arXiv · 1310.8278

Satisfiability Modulo ODEs

Sicun Gao·Soonho Kong·Edmund Clarke

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Abstract

We study SMT problems over the reals containing ordinary differential equations. They are important for formal verification of realistic hybrid systems and embedded software. We develop delta-complete algorithms for SMT formulas that are purely existentially quantified, as well as exists-forall formulas whose universal quantification is restricted to the time variables. We demonstrate scalability of the algorithms, as implemented in our open-source solver dReal, on SMT benchmarks with several hundred nonlinear ODEs and variables.

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Sicun Gao, Soonho Kong, Edmund Clarke. 2013-10-30. Satisfiability Modulo ODEs. https://arxiv.org/abs/1310.8278

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