A Structure-preserving Clause Form Translation
Journal of Symbolic Computation
Inference with path resolution and semantic graphs
Journal of the ACM (JACM)
An algorithm to compute circumscription
Artificial Intelligence
An incremental method for generating prime implicants/implicates
Journal of Symbolic Computation
CADE-10 Proceedings of the tenth international conference on Automated deduction
Reexamining intractability of tableau methods
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
Polynomial-time algorithms for generation of prime implicants
Journal of Complexity
Dissolution: making paths vanish
Journal of the ACM (JACM)
Computing Prime Implicates Incrementally
CADE-11 Proceedings of the 11th International Conference on Automated Deduction: Automated Deduction
Updating Reduced Implicate Tries
TABLEAUX '07 Proceedings of the 16th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
Prime Implicates and Reduced Implicate Tries
ISMIS '09 Proceedings of the 18th International Symposium on Foundations of Intelligent Systems
TABLEAUX '09 Proceedings of the 18th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Identifying Prime Implicate Branches in Reduced Implicate Tries
Fundamenta Informaticae - Methodologies for Intelligent Systems
Prime forms and minimal change in propositional belief bases
Annals of Mathematics and Artificial Intelligence
Tri-based set operations and selective computation of prime implicates
ISMIS'11 Proceedings of the 19th international conference on Foundations of intelligent systems
Efficient query processing with compiled knowledge bases
TABLEAUX'05 Proceedings of the 14th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
Duality in knowledge compilation techniques
ISMIS'05 Proceedings of the 15th international conference on Foundations of Intelligent Systems
A syntactical approach to belief update
MICAI'05 Proceedings of the 4th Mexican international conference on Advances in Artificial Intelligence
An approach to abductive reasoning in equational logic
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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Several methods to compute the prime implicants and the prime implicates of a negation normal form (NNF) formula are developed and implemented. An algorithm PI is introduced that is an extension to negation normal form of an algorithm given by Jackson and Pais. A correctness proof of the PI algorithm is given. The PI algorithm alone is sufficient in a computational sense. However, it can be combined with path dissolution, and it is shown empirically that this is often an advantage. None of these variations rely on conjunctive normal form or on disjunctive normal form. A class of formulas is described for which reliance on CNF or on DNF results in an exponential increase in the time required to compute prime implicants/implicates. The possibility of avoiding this problem with efficient structure preserving clause form translations is examined briefly and appears unfavorable.