A Partial Order Semantics for FIFO-Nets

Cinzia BERNARDESCHI  Nicoletta De FRANCESCO  Gigliola VAGLINI  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E81-D   No.8   pp.773-782
Publication Date: 1998/08/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Automata,Languages and Theory of Computing
Keyword: 
true concurrency,  FIFO-nets,  partial order semantics,  

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Summary: 
In this work, we give a true concurrency semantics for FIFO-nets, that are Petri nets in which places behave as queues, tokens take values in a finite alphabet and the firing of a transition depends on sequences on the alphabet. We introduce fn-processes to represent the concurrent behavior of a FIFO-net N during a sequence of transition firings. Fn-processes are modeled by a mapping from a simple FIFO-net without queue sharing and cycles, named FIFO-occurrence net, to N. Moreover, the relation among the firings expressed by the FIFO-occurrence net has been enriched by an ordering relation among the elements of the FIFO-occurrence net representing values entered into a same queue of N. We give a way to build fn-processes step by step in correspondance with a sequence of transition firings and the fn-processes operationally built are all those abstractly defined. The FIFO-occurrence nets of fn-processes have some interesting properties; for example, such nets are always discrete and, consequently, there is at least a transition sequence corresponding to each fn-process.