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On computing fixpoints in well-structured regular model checking, with applications to lossy channel systems

C. Baier·N. Bertrand·Ph. Schnoebelen
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Abstract

We prove a general finite convergence theorem for "upward-guarded" fixpoint expressions over a well-quasi-ordered set. This has immediate applications in regular model checking of well-structured systems, where a main issue is the eventual convergence of fixpoint computations. In particular, we are able to directly obtain several new decidability results on lossy channel systems.

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C. Baier, N. Bertrand, Ph. Schnoebelen. 2006-06-21. On computing fixpoints in well-structured regular model checking, with applications to lossy channel systems. https://doi.org/10.1007/11916277_24

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