Abstract
The Parameterized Model Checking Problem (PMCP) is to determine whether a temporal property is true for every size instance of a system comprised of many homogenous processes. Unfortunately, it is undecidable in general. We are able to establish, nonetheless, decidability of the PMCP in quite a broad framework. We consider asynchronous systems comprised of an arbitrary number of homogeneous copies of a generic process template. The process template is represented as a synchronization skeleton while correctness properties are expressed using Indexed CTL*∖ X. We reduce model checking for systems of arbitrary size n to model checking for systems of size up to (of) a small cutoff size c. This establishes decidability of PMCP as it is only necessary to model check a finite number of relatively small systems. Efficient decidability can be obtained in some cases. The results generalize to systems comprised of multiple heterogeneous classes of processes, where each class is instantiated by many homogenous copies of the class template (e.g., m readers and n writers).
This work was supported in part by NSF grant CCR-980-4737, SRC contract 99-TJ-685 and TARP project 003658-0650-1999.
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Emerson, E.A., Kahlon, V. (2000). Reducing Model Checking of the Many to the Few. In: McAllester, D. (eds) Automated Deduction - CADE-17. CADE 2000. Lecture Notes in Computer Science(), vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10721959_19
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DOI: https://doi.org/10.1007/10721959_19
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