Modal resolution in clausal form
Theoretical Computer Science
Modal logic
Journal of Artificial Intelligence Research
Uniform Interpolation by Resolution in Modal Logic
JELIA '08 Proceedings of the 11th European conference on Logics in Artificial Intelligence
Prime implicate normal form for ALC concepts
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Prime implicates and prime implicants: from propositional to modal logic
Journal of Artificial Intelligence Research
Linkless normal form for ALC concepts and TBoxes
KI'11 Proceedings of the 34th Annual German conference on Advances in artificial intelligence
Hi-index | 0.00 |
The purpose of this paper is to extend the notions of prime implicates and prime implicants to the basic modal logic κ. We consider a number of different potential definitions of clauses and terms for κ, which we evaluate with respect to their syntactic, semantic, and complexity-theoretic properties. We then continue our analysis by comparing the definitions with respect to the properties of the notions of prime implicates and prime implicants that they induce. We provide algorithms and complexity results for the prime implicate generation and recognition tasks for the two most satisfactory definitions.