On the Expressiveness of Joining

Thomas Given-Wilson
Axel Legay

The expressiveness of communication primitives has been explored in a common framework based on the pi-calculus by considering four features: synchronism (asynchronous vs synchronous), arity (monadic vs polyadic data), communication medium (shared dataspaces vs channel-based), and pattern-matching (binding to a name vs testing name equality vs intensionality). Here another dimension coordination is considered that accounts for the number of processes required for an interaction to occur. Coordination generalises binary languages such as pi-calculus to joining languages that combine inputs such as the Join Calculus and general rendezvous calculus. By means of possibility/impossibility of encodings, this paper shows coordination is unrelated to the other features. That is, joining languages are more expressive than binary languages, and no combination of the other features can encode a joining language into a binary language. Further, joining is not able to encode any of the other features unless they could be encoded otherwise.

In Sophia Knight, Ivan Lanese, Alberto Lluch Lafuente and Hugo Torres Vieira: Proceedings 8th Interaction and Concurrency Experience (ICE 2015), Grenoble, France, 4-5th June 2015, Electronic Proceedings in Theoretical Computer Science 189, pp. 99–113.
Published: 19th August 2015.

ArXived at: http://dx.doi.org/10.4204/EPTCS.189.9 bibtex PDF
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