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Explicit Model Checking of Very Large MDP Using Partitioning and Secondary Storage

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Part of the book series:Lecture Notes in Computer Science ((LNPSE,volume 9364))

Abstract

The applicability of model checking is hindered by the state space explosion problem in combination with limited amounts of main memory. To extend its reach, the large available capacities of secondary storage such as hard disks can be exploited. Due to the specific performance characteristics of secondary storage technologies, specialised algorithms are required. In this paper, we present a technique to use secondary storage for probabilistic model checking of Markov decision processes. It combines state space exploration based on partitioning with a block-iterative variant of value iteration over the same partitions for the analysis of probabilistic reachability and expected-reward properties. A sparse matrix-like representation is used to store partitions on secondary storage in a compact format. All file accesses are sequential, and compression can be used without affecting runtime. The technique has been implemented within theModest Toolset. We evaluate its performance on several benchmark models of up to 3.5 billion states. In the analysis of time-bounded properties on real-time models, our method neutralises the state space explosion induced by the time bound in its entirety.

This work is supported by the EU 7th Framework Programme under grant agreements 295261 (MEALS) and 318490 (SENSATION), by the DFG as part of SFB/TR 14 AVACS, by the CAS/SAFEA International Partnership Program for Creative Research Teams, and by the CDZ project CAP (GZ 1023).

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Author information

Authors and Affiliations

  1. Department of Computer Science, Saarland University, Saarbrücken, Germany

    Arnd Hartmanns & Holger Hermanns

Authors
  1. Arnd Hartmanns
  2. Holger Hermanns

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Correspondence toArnd Hartmanns.

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Editors and Affiliations

  1. Universität des Saarlandes, Saarbrücken, Germany

    Bernd Finkbeiner

  2. East China Normal University, Shanghai, China

    Geguang Pu

  3. Chinese Academy of Sciences, Beijing, China

    Lijun Zhang

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Hartmanns, A., Hermanns, H. (2015). Explicit Model Checking of Very Large MDP Using Partitioning and Secondary Storage. In: Finkbeiner, B., Pu, G., Zhang, L. (eds) Automated Technology for Verification and Analysis. ATVA 2015. Lecture Notes in Computer Science(), vol 9364. Springer, Cham. https://doi.org/10.1007/978-3-319-24953-7_10

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