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Partial-Order Reduction for General State Exploring Algorithms

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Model Checking Software (SPIN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3925))

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Abstract

An important component of partial-order based reduction algorithms is the condition that prevents action ignoring, commonly known as the cycle proviso. In this paper we give a new version of this proviso that is applicable to a general search algorithm skeleton also known as the General State Expanding Algorithm (GSEA). GSEA maintains a set of open (visited but not expanded) states from which states are iteratively selected for exploration and moved to a closed set of states (visited and expanded). Depending on the open set data structure used, GSEA can be instantiated as depth-first, breadth-first, or a directed search algorithm. The proviso is characterized by reference to the open and closed set of states in GSEA. As a result the proviso can be computed in an efficient manner during the search based on local information. We implemented partial-order reduction for GSEA based on our proposed proviso in the tool HSF-SPIN, which is an extension of the model checker SPIN for directed model checking. We evaluate the state space reduction achieved by partial-order reduction according to the proviso that we propose by comparing it on a set of benchmark problems to other reduction approaches. We also compare the use of breadth-first search and A*, two algorithms ensuring that counterexamples of minimal length will be found, together with the proviso that we propose.

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Bošnački, D., Leue, S., Lafuente, A.L. (2006). Partial-Order Reduction for General State Exploring Algorithms. In: Valmari, A. (eds) Model Checking Software. SPIN 2006. Lecture Notes in Computer Science, vol 3925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11691617_16

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  • DOI: https://doi.org/10.1007/11691617_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33102-5

  • Online ISBN: 978-3-540-33103-2

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