An efficient algorithm for the minimal unsatisfiability problem for a subclass of CNF
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- Davydov, G., Davydova, I. & Büning, H.K. Annals of Mathematics and Artificial Intelligence (1998) 23: 229. doi:10.1023/A:1018924526592
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We consider the minimal unsatisfiability problem for propositional formulas over n variables with n+k clauses for fixedk. We will show that in case of at most n clauses no formula is minimal unsatisfiable. For n+1 clauses the minimal unsatisfiability problem is solvable in quadratic time. Further, we present a characterization of minimal unsatisfiable formulas with n+1clauses in terms of a certain form of matrices.