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January 1, 19781,771 citationsOpen Access

The complexity of satisfiability problems

TSThomas J. Schaefer

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Abstract

The problem of deciding whether a given propositional formula in conjunctive normal form is satisfiable has been widely studied. I t is known that, when restricted to formulas having only two literals per clause, this problem has an efficient (polynomial-time) solution. But the same problem on formulas having three literals per clause is NP-complete, and hence probably does not have any efficient solution.

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Thomas J. Schaefer (1978) studied this question.

synapsesocial.com/papers/6a2258fe1600d4e15b215625https://doi.org/10.1145/800133.804350
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