Reachability is decidable for weakly extended process rewrite systems

  • Authors:
  • Mojmír Křetínský;Vojtěch Řehák;Jan Strejček

  • Affiliations:
  • Faculty of Informatics, Masaryk University, Botanická 68a, CZ-602 00 Brno, Czech Republic;Faculty of Informatics, Masaryk University, Botanická 68a, CZ-602 00 Brno, Czech Republic;Faculty of Informatics, Masaryk University, Botanická 68a, CZ-602 00 Brno, Czech Republic

  • Venue:
  • Information and Computation
  • Year:
  • 2009

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Abstract

Process rewrite systems (PRS) are widely accepted as a formalism for the description of infinite-state systems. It is known that the reachability problem for PRS is decidable. The problem becomes undecidable when PRS are extended with a finite-state control unit. In this paper, we show that the problem remains decidable when PRS are extended with a weak (i.e. acyclic except for self-loops) finite-state control unit. We also present some applications of this decidability result.