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arXiv · 1909.08017

Verifying Reachability Properties in Markov Chains via Incremental Induction

Elizabeth Polgreen·Martin Brain·Martin Fraenzle·Alessandro Abate
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Abstract

There is a scalability gap between probabilistic and non-probabilistic verification. Probabilistic model checking tools are based either on explicit engines or on (Multi-Terminal) Binary Decision Diagrams. These structures are complemented in areas of non-probabilistic verification by more scalable techniques, such as IC3. We present a symbolic probabilistic model checking algorithm based on IC3-like incremental construction of inductive clauses to partition the state space, interleaved with incremental construction of a system of linear inequalities. This paper compares our implementation to standard quantitative verification alternatives: our experiments show that our algorithm is a step to more scalable symbolic verification of rare events in finite-state Markov chains.

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Elizabeth Polgreen, Martin Brain, Martin Fraenzle, Alessandro Abate. 2019-09-17. Verifying Reachability Properties in Markov Chains via Incremental Induction. https://arxiv.org/abs/1909.08017

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