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Asynchronous Box Calculus

Devillers R., Klaudel H., Koutny M., Pommereau F.

Fundamenta Informaticae

2003

Vol. 54, nr 4

295-344

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.

Parameterized Structured Operational Semantics

Ferrari G.L., Montanari U.

Fundamenta Informaticae

1998

Vol. 34, nr 1,2

1-31

A generalization of De Simone format, where labels of transitions are structured actions, is presented. This provides a parameterized SOS framework where several paradigms of the observational semantics of process calculi can be uniformly handled. Moreover, standard algebraic techniques provide the formal machineries to relate the different semantics. It is also shown that much of the meta results developed for standard SOS format extend to this parameterized context.