Asynchonous Box Calculus

Abstract : The starting point of this paper is an algebraic Petri net framework allowing one to express net compositions, such as iteration and parallel composition, as well as transition synchronisation and restriction. We enrich the original model by introducing new constructs supporting asynchronous interprocess communication. Such a communication is made possible thanks to special _buffer_ places where different transitions (processes) may deposit and remove tokens. We also provide an abstraction mechanism, which hides buffer places, effectively making them private to the processes communicating through them. We then provide an algebra of process expressions, whose constants and operators directly correspond to those used in the Petri net framework. Such a correspondence is used to associate nets to process expressions in a compositional way. That the resulting algebra of expressions is consistent with the net algebra is demonstrated by showing that an expression and the corresponding net generate isomorphic transition systems. This results in the Asynchronous Box Calculus (or ABC), which is a coherent dual model, based on Petri nets and process expressions, suitable for modelling and analysing distributed systems whose components can interact using both synchronous and asynchronous communication.
Document type :
Journal articles
Liste complète des métadonnées

Cited literature [24 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00114675
Contributor : Franck Pommereau <>
Submitted on : Friday, November 17, 2006 - 1:27:28 PM
Last modification on : Thursday, December 13, 2018 - 9:46:03 AM
Document(s) archivé(s) le : Saturday, May 14, 2011 - 12:36:29 AM

Files

2003-fi.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00114675, version 1

Collections

Citation

Raymond Devillers, Hanna Klaudel, Maciej Koutny, Franck Pommereau. Asynchonous Box Calculus. Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 2003, 54(1), pp.1-50. ⟨hal-00114675⟩

Share

Metrics

Record views

234

Files downloads

128