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:
12 issues per year
Published in:
International Journal of Computer Mathematics,
Volume
81,
Issue
2
February
2004
, pages 157
- 167
Subjects:
Analysis - Mathematics;
Bioinformatics;
Computer Mathematics;
Discrete Mathematics;
Mathematical Finance;
Mathematical Logic;
Mathematical Numerical Analysis;
Systems & Computer Architecture;
Number of References: 14
Formats available:
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(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.
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| Keywords: Prime implicants; First order logic; Transversal clauses |
| view references (14) |

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