High-Level Nets with Nets and Rules as Tokens

• Published in: Applications and Theory of Petri Nets 2005 pp. 268 - 288
• Main Authors: Hoffmann, Kathrin, Ehrig, Hartmut, Mossakowski, Till
• Format: Book Chapter Conference Proceeding
• Language: English
• Published: Berlin, Heidelberg Springer Berlin Heidelberg 2005; Springer
• Series: Lecture Notes in Computer Science
• Subjects: algebraic high-level nets; algebraic specifications; Algorithmics. Computability. Computer arithmetics; Applied sciences; case study: House of Philosophers; Computer science; control theory; systems; Exact sciences and technology; graph grammars and Petri net transformations; High-level net models; integration of net theory and graph transformations; nets and rules as tokens; Theoretical computing; Model following; Concurrency; Graph transformation; Expert system; Dining philosopher; Knowledge base; Petri net
• ISBN: 3540263012; 9783540263012
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/11494744_16

High-Level net models following the paradigm “nets as tokens” have been studied already in the literature with several interesting applications. In this paper we propose the new paradigm “nets and rules as tokens”, where in addition to nets as tokens also rules as tokens are considered. The rules can be used to change the net structure. This leads to the new concept of high-level net and rule systems, which allows to integrate the token game with rule-based transformations of P/T-systems. The new concept is based on algebraic high-level nets and on the main ideas of graph transformation systems. We introduce the new concept with the case study “House of Philosophers”, a dynamic extension of the well-known dining philosophers. In the main part we present a basic theory for rule-based transformations of P/T-systems and for high-level nets with nets and rules as tokens leading to the concept of high-level net and rule systems.