Quantitative Safety: Linking Proof-Based Verification with Model Checking for Probabilistic Systems

Ukachukwu Ndukwu
(Department of Computing, Macquarie University, NSW 2109, Sydney, Australia.)

This paper presents a novel approach for augmenting proof-based verification with performance-style analysis of the kind employed in state-of-the-art model checking tools for probabilistic systems. Quantitative safety properties usually specified as probabilistic system invariants and modeled in proof-based environments are evaluated using bounded model checking techniques.

Our specific contributions include the statement of a theorem that is central to model checking safety properties of proof-based systems, the establishment of a procedure; and its full implementation in a prototype system (YAGA) which readily transforms a probabilistic model specified in a proof-based environment to its equivalent verifiable PRISM model equipped with reward structures. The reward structures capture the exact interpretation of the probabilistic invariants and can reveal succinct information about the model during experimental investigations. Finally, we demonstrate the novelty of the technique on a probabilistic library case study.

In Suzana Andova, Annabelle McIver, Pedro D'Argenio, Pieter Cuijpers, Jasen Markovski, Caroll Morgan and Manuel Núñez: Proceedings First Workshop on Quantitative Formal Methods: Theory and Applications (QFM 2009), Eindhoven, The Netherlands, 3rd November 2009, Electronic Proceedings in Theoretical Computer Science 13, pp. 27–39.
Published: 10th December 2009.

ArXived at: https://dx.doi.org/10.4204/EPTCS.13.3 bibtex PDF

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