Partial S-invariants for the verification of infinite systems families

  • We introduce partial S-invariants of Petri nets, which can help to determine invariants and to prove safety if large nets are built from smaller ones using parallel composition with synchronous communication. We show how partial S-invariants can support compositional reduction and, in particular, a specific form of it called the fixed-point approach. With the latter, infinite parameterized families of concurrent systems can be verified. Partial S-invariants and the fixed-point approach are used to prove the correctness of two solutions to the MUTEX-problem based on token rings; for this, we only have to prove liveness of a simplified version due to previous results.

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Metadaten
Author:Walter VoglerGND
URN:urn:nbn:de:bvb:384-opus4-363
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/49
Series (Serial Number):Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg (2001-04)
Type:Report
Language:English
Publishing Institution:Universität Augsburg
Release Date:2005/01/31
Tag:Petri network; invariance; infinite system
GND-Keyword:Petri-Netz; Invarianz; Unendliches System
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Lehrstuhl für Softwaretechnik
Fakultät für Angewandte Informatik / Institut für Informatik / Lehrstuhl für Softwaretechnik / Professur für Theorie verteilter Systeme
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik