Solving non-clausal formulas with DPLL search

作者: Christian Thiffault , Fahiem Bacchus , Toby Walsh

DOI: 10.1007/978-3-540-30201-8_48

关键词:

摘要: Great progress has been made on DPLL based SAT solvers operating CNF encoded theories. However, for most problems is not a very natural representation. Typically these are more easily expressed using unrestricted propositional formulae and hence must be converted to before modern can applied. This conversion entails considerable loss of information about the problem's structure. In this work we demonstrate that both unnecessary undesirable. particular, solver which operates directly formula achieve same efficiency as highly optimized solver. Furthermore, since original remains intact, such exploit problem structure improve over solvers. We present empirical evidence showing exploiting yield benefits. An extended abstract topic was presented at SAT-2004 conference.

参考文章(18)
Pierre Marquis, Jérôme Lang, Complexity results for independence and definability in propositional logic principles of knowledge representation and reasoning. pp. 356- 367 ,(1998)
Richard Ostrowski, Éric Grégoire, Bertrand Mazure, Lakhdar Saïs, Recovering and Exploiting Structural Knowledge from CNF Formulas principles and practice of constraint programming. pp. 185- 199 ,(2002) , 10.1007/3-540-46135-3_13
Yumi K. Tsuji, Allen VanGelder, SATISFIABILITY TESTING WITH MORE REASONING AND LESS GUESSING Cliques, Coloring, and Satisfiability. pp. 559- 586 ,(1995)
Tommi A. Junttila, Ilkka Niemelä, Towards an Efficient Tableau Method for Boolean Circuit Satisfiability Checking Lecture Notes in Computer Science. pp. 553- 567 ,(2000) , 10.1007/3-540-44957-4_37
Ashish Sabharwal, Paul Beame, Henry Kautz, Using Problem Structure for Efficient Clause Learning theory and applications of satisfiability testing. pp. 242- 256 ,(2003) , 10.1007/978-3-540-24605-3_19
Enrico Giunchiglia, Marco Maratea, Armando Tacchella, Dependent and Independent Variables in Propositional Satisfiability european conference on logics in artificial intelligence. pp. 296- 307 ,(2002) , 10.1007/3-540-45757-7_25
Enrico Giunchiglia, Roberto Sebastiani, Applying the Davis-Putnam Procedure to Non-clausal Formulas congress of the italian association for artificial intelligence. pp. 84- 94 ,(1999) , 10.1007/3-540-46238-4_8
David A. Plaisted, Steven Greenbaum, A Structure-preserving Clause Form Translation Journal of Symbolic Computation. ,vol. 2, pp. 293- 304 ,(1986) , 10.1016/S0747-7171(86)80028-1
Norman Shapiro, Herman Vreenegoor, The generalized important event technique Communications of the ACM. ,vol. 4, pp. 394- 395 ,(1961) , 10.1145/366696.366767
Donald Loveland, George Logemann, Martin Davis, A machine program for theorem-proving ,(2011)