A criterion for "easiness" of certain SAT problems

Bernd R. Schuh

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arXiv · 1707.00118

A criterion for "easiness" of certain SAT problems

Bernd R. Schuh

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Abstract

A generalized 1-in-3SAT problem is defined and found to be in complexity class P when restricted to a certain subset of CNF expressions. In particular, 1-in-kSAT with no restrictions on the number of literals per clause can be decided in polynomial time when restricted to exact READ-3 formulas with equal number of clauses (m) and variables (n), and no pure literals. Also individual instances can be checked for easiness with respect to a given SAT problem. By identifying whole classes of formulas as being solvable efficiently the approach might be of interest also in the complementary search for hard instances.

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Bernd R. Schuh. 2017-07-01. A criterion for "easiness" of certain SAT problems. https://arxiv.org/abs/1707.00118

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