A note on disjunctive form tautologies

Author:

Bauer M.1,Brand D.1,Fischer M.2,Meyer A.2,Paterson M.3

Affiliation:

1. University of Toronto

2. Massachusetts Institute of Technology

3. University of Warwick

Abstract

Cook [1] and Karp [2] have shown that a large class of combinatorial decision problems can be solved in time bounded by a polynomial in the size of the problem iff there is a polynomial time procedure for deciding whether a disjunctive formula with at most three literals per disjunct in the propositional calculus is a tautology.

Funder

Office of Naval Research

Publisher

Association for Computing Machinery (ACM)

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Learning Boolean specifications;Artificial Intelligence;2015-12

2. A new 3-CNF transformation by parallel-serial graphs;Information Processing Letters;2009-03

3. Resolution and Expressiveness of Subclasses of Quantified Boolean Formulas and Circuits;Lecture Notes in Computer Science;2009

4. Tractability through symmetries in propositional calculus;Journal of Automated Reasoning;1994

5. The Complexity of Very Simple Boolean Formulas with Applications;SIAM Journal on Computing;1990-02

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