A Direct Algorithm for Multi-valued Bounded Model Checking
Multi-valued Model Checking is an extension of classical, two-valued model checking with multi-valued logic. Multi-valuedness has been proved useful in expressing additional information such as incompleteness, uncertainty, and many others, but with the cost of time and space complexity. This paper addresses this problem, and proposes a new algorithm for Multi-valued Model Checking. While Chechik et al. have extended BDD-based Symbolic Model Checking algorithm to the multi-valued case, our algorithm extends Bounded Model Checking (BMC), which can generate a counterexample of minimum length efficiently (if any). A notable feature of our algorithm is that it directly generates conjunctive normal forms, and never reduces multi-valued formulas into many slices of two-valued formulas. To achieve this feature, we extend the BMC algorithm to the multi-valued case and also devise a new translation of multi-valued propositional formulas. Finally, we show experimental results and compare the performance of our algorithm with that of a reduction-based algorithm.
Unable to display preview. Download preview PDF.
- 2.Biere, A., Clarke, E.M., Fujita, M., Zhu, Y.: Symbolic Model Checking Using SAT Procedures Instead of BDDs. In: Design Automation Conference, pp. 317–320 (1999)Google Scholar
- 7.Clarke, E.M., Grumberg, O., Peled, D.A.: Model Checking. MIT Press, Cambridge (1999)Google Scholar
- 8.Easterbrook, S., Chechik, M.: A framework for multi-valued reasoning over inconsistent viewpoints. In: International Conference on Software Engineering, pp. 411–420 (2001)Google Scholar
- 9.Een, N., Sorensen, N.: The MiniSat homepage, http://minisat.se/
- 11.Johnson, D.S., Trick, M.A. (eds.): Cliques, Coloring and Satisfiability: Second DIMACS Implementation Challenge. DIMACS Series In Discrete Mathematics and Theoretical Computer Science, vol. 26. AMS (1996)Google Scholar