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Handbook of Combinatorial Optimization pp 379–572Cite as

Algorithms for the Satisfiability (SAT) Problem

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Abstract

An instance of the satisfiability (SAT) problem is a Boolean formula that has three components [102, 191]:

  • A set of n variables: x 1, x 2, x n .

  • A set of literals. A literal is a variable (Q = x) or a negation of a variable \( \left( {Q = \bar x} \right)\).

  • A set of m distinct clauses: C 1, C 2, ..., C m. Each clause consists of only literals combined by just logical or (V) connectives.

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Authors and Affiliations

  1. Dept. of Electrical and Computer Engineering, University of Calgary, Calgary, Alberta, T2N 1N4, Canada

    Jun Gu

  2. Dept. of Computer Science, Indiana University, Bloomington, Indiana, 47405, USA

    Paul W. Purdom

  3. Dept. of Computer Science, University of Cincinnati, Cincinnati, OH, 45221-0008, USA

    John Franco

  4. Dept. of Electrical and Computer Engineering, Univ. of Illinois at Urbana-Champaign, Urbana, IL, 61801-3082, USA

    Benjamin W. Wah

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  1. Department of Computer Science, University of Minnesota, USA

    Ding-Zhu Du

  2. Institute of Applied Mathematics, Academia Sinica, P. R. China

    Ding-Zhu Du

  3. Department of Industrial and Systems Engineering, University of Florida, USA

    Panos M. Pardalos

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Gu, J., Purdom, P.W., Franco, J., Wah, B.W. (1999). Algorithms for the Satisfiability (SAT) Problem. In: Du, DZ., Pardalos, P.M. (eds) Handbook of Combinatorial Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3023-4_7

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