Partial-Order reduction for general state exploring algorithms

  • Authors:
  • Dragan Bošnački;Stefan Leue;Alberto Lluch Lafuente

  • Affiliations:
  • Eindhoven University of Technology, Eindhoven, The Netherlands;Department of Computer and Information Science, University of Konstanz, Konstanz, Germany;Empoli (FI), Italy

  • Venue:
  • SPIN'06 Proceedings of the 13th international conference on Model Checking Software
  • Year:
  • 2006

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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.