Artificial Intelligence
An incremental method for generating prime implicants/implicates
Journal of Symbolic Computation
Implicit and incremental computation of primes and essential primes of Boolean functions
DAC '92 Proceedings of the 29th ACM/IEEE Design Automation Conference
Polynomial-time algorithms for generation of prime implicants
Journal of Complexity
Proceedings of the 10th International Conference on Automated Deduction
The complexity of theorem-proving procedures
STOC '71 Proceedings of the third annual ACM symposium on Theory of computing
A New Algorithm for Generating Prime Implicants
IEEE Transactions on Computers
Knowledge compilation using theory prime implicates
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Approximate knowledge compilation: the first order case
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 1
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An algorithm based on consensus method to compute the set of prime implicates of a quantifier free first order formula X was presented in an earlier work. In this paper the notion of prime implicates is extended to theory prime implicates in the first order case. We provide an algorithm to compute the theory prime implicates of a knowledge base X with respect to another knowledge base Y where both X and Y are assumed to be unquantified first order formulas. The partial correctness of the algorithm is proved.