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Main Title: Low- and High-Level Petri Nets with Individual Tokens
Author(s): Modica, Tony
Gabriel, Karsten
Ehrig, Hartmut
Hoffmann, Kathrin
Shareef, Sarkaft
Ermel, Claudia
Golas, Ulrike
Hermann, Frank
Biermann, Enrico
Type: Research Paper
Abstract: In this article, we present a new variant of Petri nets with markings called "Petri nets with individual tokens", together with rule-based transformation following the double pushout approach. The most important change to former Petri net transformation approaches is that the marking of a net is no longer a "collective" set of tokens, but each each has an own identity leading to the concept of Petri nets with individual tokens. This allows us to formulate rules that can change the marking of a net arbitrarily without necessarily manipulating the structure. As a first main result that depends on nets with individual markings we show the equivalence of transition firing steps and the application of firing-simulating rules. We define categories of low-level and of algebraic high-level nets with individual tokens, called PTI nets and AHLI nets, respectively, and relate them with each other and their collective counterparts by functors. To be able to use the properties and analysis results of M-adhesive HLR systems (formerly know as weak adhesive high-level replacement systems) we show in further main results that both categories of PTI nets and AHLI nets are M-adhesive categories. By showing how to construct initial pushouts we also give necessary and sufficient conditions for the applicability of transformation rules in these categories, known as gluing condition in the literature
Subject(s): petri nets
graph transformation
Issue Date: 2009
Date Available: 15-Jun-2020
Language Code: en
DDC Class: 004 Datenverarbeitung; Informatik
Series: Forschungsberichte der Fakultät IV - Elektrotechnik und Informatik / Technische Universität Berlin
Series Number: 2009-13
ISSN: 1436-9915
TU Affiliation(s): Fak. 4 Elektrotechnik und Informatik
Appears in Collections:Technische Universität Berlin » Publications

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