12th IEEE International Conference on Tools with Artificial Intelligence (ICTAI'00)
Multi-resolution on compressed sets of clauses
Vancouver, British Columbia, Canada
November 13-November 15
ISBN: 0-7695-0909-6
P. Chatalic, Lab. de Recherche en Inf., Univ. de Paris-Sud, Orsay, France
L. Simon, Lab. de Recherche en Inf., Univ. de Paris-Sud, Orsay, France
Abstract: The paper presents a system based on new operators for handling sets of propositional clauses represented by means of ZBDDs (zero-suppressed binary decision diagrams). The high compression power of such data structures allows efficient encodings of structured instances. A specialized operator for the distribution of sets of clauses is introduced and used for performing multi-resolution on clause sets. Cut eliminations between sets of clauses of exponential size may then be performed using polynomial size data structures. The ZREs system, a new implementation of the Davis-Putnam procedure (M. Davis and H. Putnam, 1960), solves two hard problems for resolution, that are currently out of the scope of the best SAT provers.
Index Terms:
binary decision diagrams; set theory; theorem proving; data compression; data structures; computational complexity; directed graphs; computability; multi-resolution; compressed sets; compressed clauses; propositional clauses; ZBDDs; compression power; data structures; encodings; structured instances; specialized operator; clause sets; cut eliminations; polynomial size data structures; ZREs system; Davis-Putnam procedure; hard problems; SAT provers; zero-suppressed binary decision diagrams
Citation:
P. Chatalic, L. Simon, "Multi-resolution on compressed sets of clauses," ictai, pp.0002, 12th IEEE International Conference on Tools with Artificial Intelligence (ICTAI'00), 2000