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Prime implicants of first order formulas via transversal clauses 

Authors: Manoj K. Raut a; Arindama Singh a
Affiliation:   a Department of Mathematics, Indian Institute of Technology, Chennai, India
DOI: 10.1080/00207160310001650071
Publication Frequency: 15 issues per year
Published in: journal International Journal of Computer Mathematics, Volume 81, Issue 2 February 2004 , pages 157 - 167
Number of References: 14
Formats available: PDF (English)
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Abstract

Knowledge compilation techniques are usually applied for propositional knowledge bases. In this article, an extension of the notion of prime implicants of a knowledge base using first order formulas in Skolem conjunctive normal form is suggested. The method of transversal clauses used earlier for computing prime implicants of a propositional formula in conjuctive normal form is adopted to the first order case via substitutions. Partial correctness of the algorithm is proved. The algorithm is adopted heuristically for computing approximate prime implicants.
Keywords: Prime implicants; First order logic; Transversal clauses
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