The complexity of satisfiability problems

@article{Schaefer1978TheCO,
  title={The complexity of satisfiability problems},
  author={Thomas J. Schaefer},
  journal={Proceedings of the tenth annual ACM symposium on Theory of computing},
  year={1978}
}
  • T. Schaefer
  • Published 1 May 1978
  • Mathematics
  • Proceedings of the tenth annual ACM symposium on Theory of computing
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. In this paper, we consider an infinite class of satisfiability problems which contains… 

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