Incremental Bisimulation Abstraction Refinement
In 13th International Conference on Application of
Concurrency to System Design (ACSD)
, pages 11-20, IEEE
, 2013.Downloads: pdf, bibURL: http://dx.doi.org/10.1109/ACSD.2013.5
Abstract. Abstraction refinement techniques in probabilistic model checking are prominent approaches to the verification of very large or infinite-state probabilistic concurrent systems. At the core of the refinement step lies the implicit or explicit analysis of a counterexample. This paper proposes an abstraction refinement approach for the probabilistic computation tree logic (PCTL), which is based on incrementally computing a sequence of may- and must-quotient automata. These are induced by depth-bounded bisimulation equivalences of increasing depth. The approach is both sound and complete, since the equivalences converge to the genuine PCTL equivalence. Experimental results with a prototype implementation show the effectiveness of the approach.