Fast Mu-calculus Model Checking when Tree-width is Bounded
Authors | |
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Year of publication | 2003 |
Type | Article in Proceedings |
Conference | CAV 2003 |
MU Faculty or unit | |
Citation | |
Field | Informatics |
Keywords | parity games; mu-calculus; model-checking; tree-width |
Description | We show that the model checking problem for mu-calculus on graphs of bounded tree-width can be solved in time linear in the size of the system. Since control flow graphs of programs written in high-level languages are usually of bounded tree-width, this gives us a faster algorithm for software model checking. The result is presented by first showing a related result: the winner in a parity game on a graph of bounded tree-width can be decided in polynomial time. Modification of this algorithm gives us a completely new algorithm for mu-calculus model checking. Finally, we discuss some implications and future work. |
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