Publication details
On Decidability of LTL Model Checking for Weakly Extended Process Rewrite Systems
| Basic information | |
|---|---|
| Original title: | On Decidability of LTL Model Checking for Weakly Extended Process Rewrite Systems |
| Authors: | Laura Bozzelli, Mojmír Křetínský, Vojtěch Řehák, Jan Strejček |
| Further information | |
|---|---|
| Citation: | BOZZELLI, Laura  - KŘETÍNSKÝ, Mojmír - ŘEHÁK, Vojtěch - STREJČEK, Jan. On Decidability of LTL Model Checking for Weakly Extended Process Rewrite Systems. Brno : FI MU, 2006. FIMU-RS-2006-05. full and extended version of FST&TCS'06 paper.  WWW |
| Original language: | English |
| Field: | Informatika |
| Type: | R&D Presentation |
| Keywords: | infinite-state systems; linear time logic; decidability; model checking |
We establish a decidability boundary of the model checking problem for infinite-state systems defined by \emph{Process Rewrite Systems} (PRS) or \emph{weakly extended Process Rewrite Systems} (wPRS), % possibly extended with a weak finite-state control unit, and properties described by basic fragments of action-based \emph{Linear Temporal Logic} (LTL). It is known that the problem for general LTL properties is decidable for Petri nets and for pushdown processes, while it is undecidable for PA processes. As our main result, we show that the problem is decidable for wPRS if we consider properties defined by formulae with only modalities \emph{strict eventually} and \emph{strict always}. Moreover, we show that the problem remains undecidable for PA processes even with respect to the LTL fragment with the only modality \emph{until} or the fragment with modalities \emph{next} and \emph{infinitely often}.
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