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Linear Programming Deadlock Checking Using Partial Order Dependencies

Lookup NU author(s): Emeritus Professor Maciej KoutnyORCiD, Dr Victor Khomenko

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Abstract

Model checking based on the causal partial order semantics of Petri nets is an approach widely applied to cope with the state space explosion problem. One of the ways to exploit such a semantics is to consider (finite prefixes of) net unfoldings --- themselves a class of acyclic Petri nets --- which contain enough information, albeit implicit, to reason about the reachable markings of the original Petri nets. In [MR-97], a verification technique for net unfoldings was proposed in which deadlock detection was reduced to a mixed integer linear programming problem. In this paper, we present a further development of this approach. We adopt Contejean-Devie's algorithm for solving systems of linear constraints over the natural numbers domain and refine it, by taking advantage of the specific properties of systems of inear constraints to be solved. The essence of the proposed modifications is to transfer the information about causality and conflicts between the events involved in an unfolding, into a relationship between the corresponding integer variables in the system of linear constraints. Experimental results demonstrate that the new technique achieves significant speedups.

Publication metadata

Author(s): Koutny M, Khomenko V

Publication type: Report

Publication status: Published

Series Title: Department of Computing Science Technical Report Series

Year: 2000

Pages: 22

Report Number: 695

Institution: Department of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/695.pdf

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