Splitting of Actions, Higher-Dimensional Automata, and Net SynthesisReport as inadecuate




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1 MICAS - Modèles et implémentation des calculs syntaxiques IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires

Abstract : The behaviour of pure Petri nets i.e. without side condition is given by ordinary automata because all information about concurrency is encoded in the structure of the marking graphs. By contrast, the behaviour of possibly impure nets requires higher-dimensional automata: independence should in that case be made explicit. These higher-dimensional automata are step transition systems in the case of general Petri nets and asynchronous transition systems if we restrict to safe Petri nets. The aim of this report is to show that the synthesis problem for nets can reduce to the synthesis problem of pure nets. For that purpose, we discretize an higher-dimensional automaton by splitting its actions and we prove that it is the behaviour of some Petri net if and only if its discretized automaton is the marking graph of some pure Petri

Keywords : SYNTHESIS PROBLEM FOR NETS HIGHER-DIMENSIONAL AUTOMATA SPLITTING OF ACTIONS





Author: Eric Badouel -

Source: https://hal.archives-ouvertes.fr/



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