Overview

Although this area has a history of over 80 years, it was not until the creation of efficient SAT solvers in the mid-1990s that it became practically important, finding applications in electronic design automation, hardware and software verification, combinatorial optimization, and more. Exploring the theoretical and practical aspects of satisfiability, Introduction to Mathematics of Satisfiability focuses on the satisfiability of theories consisting of propositional logic formulas. It describes how SAT solvers and techniques are applied to problems in mathematics and computer science as well as important applications in computer engineering. The book first deals with logic fundamentals, including the syntax of propositional logic, complete sets of functors, normal forms, the Craig lemma, and compactness. It then examines clauses, their proof theory and semantics, and basic complexity issues of propositional logic. The final chapters on knowledge representation cover finite runs of Turing machines and encodings into SAT. One of the pioneers of answer set programming, the author shows how constraint satisfaction systems can be worked out by satisfiability solvers and how answer set programming can be used for knowledge representation.

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9781439801673

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Reviews

! an invaluable reference for anyone who is interested in issues ranging from theoretical mathematical logic to computational logic. The book maintains a nice tradeoff between formalism and clarity. ! The author excels at relating his expositions to the current state of the art, and he recognizes when his discussions are only the tip of the iceberg. ! its most significant contribution is its accessible explanations of how and why algorithms and ideas expose work. -- Carlos Linares Lopez, writing in Computing Reviews, March 2010

Author Information

Victor W. Marek is a professor in the Department of Computer Science at the University of Kentucky.

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