Satisfiability checking: Theory and applications

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Abstract

Satisfiability checking aims to develop algorithms and tools for checking the satisfiability of existentially quantified logical formulas. Besides powerful SAT solvers for solving propositional logic formulas, sophisticated SAT-modulo-theories (SMT) solvers are available for a wide range of theories, and are applied as black-box engines for many techniques in different areas. In this paper we give a short introduction to the theoretical foundations of satisfiability checking, mention some of the most popular tools, and discuss the successful embedding of SMT solvers in different technologies.

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Ábrahám, E., & Kremer, G. (2016). Satisfiability checking: Theory and applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9763, pp. 9–23). Springer Verlag. https://doi.org/10.1007/978-3-319-41591-8_2

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