On the expressiveness of infinite behavior and name scoping in process calculi

Giambiagi, Pablo and Schneider, Gerardo and Valencia, Frank D. (2004) On the expressiveness of infinite behavior and name scoping in process calculi. In: Foundations of Software Science and Computation Structures (7th Intl Conference, FOSSACS 2004, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2004, Barcelona, Spain, March 29 – April 2, 2004. Proceeding). Lecture Notes in Computer Science (2987). Springer, pp. 226-240. ISBN 978-3-540-21298-0

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In the literature there are several CCS-like process calculi differing in the constructs for the specification of infinite behavior and in the scoping rules for channel names. In this paper we study various representatives of these calculi based upon both their relative expressiveness and the decidability of divergence. We regard any two calculi as being equally expressive if for every process in each calculus, there exists a weakly bisimilar process in the other. By providing weak bisimilarity preserving mappings among the various variants, we show that in the context of relabeling-free and finite summation calculi: (1) CCS with parameterless (or constant) definitions is equally expressive to the variant with parametric definitions. (2) The CCS variant with replication is equally expressive to that with recursive expressions and static scoping. We also state that the divergence problem is undecidable for the calculi in (1) but decidable for those in (2). We obtain this from (un)decidability results by Busi, Gabbrielli and Zavattaro, and by showing the relevant mappings to be computable and to preserve divergence and its negation. From (1) and the well-known fact that parametric definitions can replace injective relabelings, we show that injective relabelings are redundant (i.e., derived) in CCS (which has constant definitions only).

Item Type:Book Section
ID Code:2740
Deposited On:10 Mar 2008
Last Modified:18 Nov 2009 16:13

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