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HyperSAT a new generator for 3-SAT instances

Juan Segura-Salazar, José Torres-Jiménez

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Abstract

Propositional satisfiability is the problem of determining, given a formula of propositional calculus in CNF (Conjunctive Normal Form), if there is an assignment of truth values for the variables in such a way that the whole formula is true. The SAT problem is one of the most important combinatorial optimization problems, in particular the 3-SAT problem is the,first NP-Complete problem. In order to test sat solving algorithms is necessary to generate hard sat instances, in this paper we address the construction and testing of HyperSAT a sat instance generator based on the concept of hypergraphs.

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What this paper is about

Propositional satisfiability is the problem of determining, given a formula of propositional calculus in CNF (Conjunctive Normal Form), if there is an assignment of truth values for the variables in such a way that the whole formula is true. The SAT problem is one of the most important combinatorial optimization problems, in particular the 3-SAT problem is the,first NP-Complete problem. In order to test sat solving algorithms is necessary to generate hard sat instances, in this paper we address the construction and testing of HyperSAT a sat instance generator based on the concept of hypergraphs.

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Available abstract

Propositional satisfiability is the problem of determining, given a formula of propositional calculus in CNF (Conjunctive Normal Form), if there is an assignment of truth values for the variables in such a way that the whole formula is true. The SAT problem is one of the most important combinatorial optimization problems, in particular the 3-SAT problem is the,first NP-Complete problem. In order to test sat solving algorithms is necessary to generate hard sat instances, in this paper we address the construction and testing of HyperSAT a sat instance generator based on the concept of hypergraphs.

Key concepts: Conjunctive normal form, Satisfiability, Propositional formula, Generator (circuit theory), Propositional calculus, Boolean satisfiability problem, Maximum satisfiability problem, Computer science

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