Stubborn Sets for Real-Time Petri Nets

  • Authors:
  • Robert H. Sloan;Ugo Buy

  • Affiliations:
  • Dept. of Electrical Engineering and Computer Science, University of Illinois at Chicago/ E-mail: sloan@eecs.uic.edu, buy@eecs.uic.edu;Dept. of Electrical Engineering and Computer Science, University of Illinois at Chicago/ E-mail: sloan@eecs.uic.edu, buy@eecs.uic.edu

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 1997

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Abstract

The stubborn-set method attempts to reduce the number of states thatmust be explicitly enumerated during reachability analysis of aconcurrent system, while preserving crucial concurrency properties inthe reduced state space. Here we extend the method to the analysis ofcertain timed models. We also prove that timing properties ofinterest, such as minimum and maximum delays between events, arepreserved in the reduced model. Finally, we report on someexperimental results that we have obtained with our extension. Theseresults show that real-time stubborn sets can often providesignificant reductions in state space size.