Model checking the pull modal mu-calculus for infinite sequential processes

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Abstract

In this paper we develop a new exponential algorithm for model-checking infinite sequential processes, including context-free processes, pushdown processes, and regular graphs, that decides the full modal mu-calculus. Whereas the actual model checking algorithm results from considering conditional semantics together with backtracking caused by alternation, the corresponding correctness proof requires a stronger framework, which uses dynamic environments modelled by finite-state automata.

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Burkart, O., & Steffen, B. (1997). Model checking the pull modal mu-calculus for infinite sequential processes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1256, pp. 419–429). Springer Verlag. https://doi.org/10.1007/3-540-63165-8_198

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