Probabilistic Regular Graphs
Abstract
Deterministic graph grammars generate regular graphs, that form a structural extension of configuration graphs of pushdown systems. In this paper, we study a probabilistic extension of regular graphs obtained by labelling the terminal arcs of the graph grammars by probabilities. Stochastic properties of these graphs are expressed using PCTL, a probabilistic extension of computation tree logic. We present here an algorithm to perform approximate verification of PCTL formulae. Moreover, we prove that the exact model-checking problem for PCTL on probabilistic regular graphs is undecidable, unless restricting to qualitative properties. Our results generalise those of [EKM06], on probabilistic pushdown automata, using similar methods combined with graph grammars techniques.
Domains
Discrete Mathematics [cs.DM]
Origin : Files produced by the author(s)
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