In propositional logic, several problems, such as satisfiability, MAX SAT and logical inference, can be formulated as integer programs. In this paper, we consider sets of clauses for which the corresponding integer programs can be solved as linear programs. We prove that balanced sets of clauses have this property. Copyright 1995 by ACM, Inc.
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Categories and Subject Descriptors: F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical Algorithms and Problems -- computations on discrete structures; G.2.1 [Discrete Mathematics]: Combinatorics -- combinatorial algorithms
General Terms: Algorithms
Additional Key Words and Phrases: Balanced matrices, linear programming, propositional logic
- V. Chandru and J. N. Hooker. Extended Horn sets in propositional logic. Journal of the ACM, 38(1):205-221, January 1991.