Satisfiability Modulo Theories: A Beginner’s Tutorial

Author:

Barrett ClarkORCID,Tinelli CesareORCID,Barbosa HanielORCID,Niemetz AinaORCID,Preiner MathiasORCID,Reynolds AndrewORCID,Zohar YoniORCID

Abstract

AbstractGreat minds have long dreamed of creating machines that can function as general-purpose problem solvers. Satisfiability modulo theories (SMT) has emerged as one pragmatic realization of this dream, providing significant expressive power and automation. This tutorial is a beginner’s guide to SMT. It includes an overview of SMT and its formal foundations, a catalog of the main theories used in SMT solvers, and illustrations of how to obtain models and proofs. Throughout the tutorial, examples and exercises are provided as hands-on activities for the reader. They can be run using either Python or the SMT-LIB language, using either the cvc5 or the Z3 SMT solver.

Publisher

Springer Nature Switzerland

Reference42 articles.

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2. Ábrahám, E., Davenport, J.H., England, M., Kremer, G.: Deciding the consistency of non-linear real arithmetic constraints with a conflict driven search using cylindrical algebraic coverings. J. Log. Algebraic Methods Program. 119, 100633 (2021). https://doi.org/10.1016/J.JLAMP.2020.100633

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