Satisfiability problems for propositional calculi
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For each fixed set of Boolean connectives, how hard is it to determine satisfiability for formulas with only those connectives? We show that a condition sufficient for NP-completeness is that the functionx Λ ~ y be representable, and that any set of connectives not capable of representing this function has a polynomial-time satisfiability problem.
KeywordsComputational Mathematic Propositional Calculus Satisfiability Problem Boolean Connective
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