A Decision Procedure For The WSkS Logic - Softcover

Fiedor, Tomáš

 
9783659635830: A Decision Procedure For The WSkS Logic

Synopsis

Various types of logics are often used as a means for formal specification of systems. The weak monadic second-order logic of k successors (WSkS) is one of these logics with quite high expressivity, yet still decidable. Although the complexity of checking satisfiability of a WSkS formula is not even in the ELEMENTARY class, there are approaches to this problem based on deterministic tree automata that perform well in practice, like the MONA tool that efficiently solves the class of practical formulae, but fails for some others. This work extends the class of practically solvable formulae with the use of recently developed techniques for efficient manipulation of non-deterministic automata (such as the antichains algorithm for testing universality) and designs a new decision procedure using non-deterministic automata. The procedure is implemented and is compared with the MONA tool and for some cases yield better results than MONA.

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About the Author

Tomáš Fiedor received his Master's degree at Faculty of Information Technology, Brno University of Technology. He is interested in theoretical computer science and verification of complex programs and computer systems, and is currently pursuing a Ph.D. degree in these areas.

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