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Theoretical Computer Science
Volume 360, Issues 1-3, 21 August 2006, Pages 352-372
 
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doi:10.1016/j.tcs.2006.05.003    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2006 Elsevier B.V. All rights reserved.

Model checking for process rewrite systems and a class of action-based regular properties

Laura BozzelliCorresponding Author Contact Information, a, E-mail The Corresponding Author

aDipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy

Received 16 February 2005; 
revised 23 January 2006; 
accepted 3 May 2006. 
Communicated by G. Levi. 
Available online 8 June 2006.

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Abstract

We consider the model checking problem for Process Rewrite Systems (PRS), an infinite-state formalism (non Turing-powerful) which subsumes many common models such as Pushdown Processes and Petri Nets. PRS can be adopted as a formal model for programs with dynamic creation and synchronization of concurrent processes, and with recursive procedures. The model-checking problem of PRS against action-based linear temporal logic (ALTL) is undecidable. However, decidability for some interesting fragment of ALTL remains an open question. In this paper, we state decidability results concerning generalized acceptance properties about infinite derivations (infinite term rewriting) in PRS. As a consequence, we obtain decidability of the model-checking problem (restricted to infinite runs) of PRS against a meaningful fragment of ALTL.

Keywords: Infinite-state systems; Process rewrite systems; Petri nets; Pushdown processes; Model checking; Action-based linear temporal logic


 
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