Observing Success in the Pi-Calculus
A contextual semantics - defined in terms of successful termination and may- and should-convergence - is analyzed in the synchronous pi-calculus with replication and a constant Stop to denote success.
The contextual ordering is analyzed, some nontrivial process equivalences are proved, and proof tools for showing contextual equivalences are provided. Among them are a context lemma and new notions of sound applicative similarities for may- and should-convergence. A further result is that contextual equivalence in the pi-calculus with Stop conservatively extends barbed testing equivalence in the (Stop-free) pi-calculus and thus results on contextual equivalence can be transferred to the (Stop-free) pi-calculus with barbed testing equivalence.
Concurrency
Process calculi
Pi-calculus
Rewriting
Semantics
31-46
Regular Paper
David
Sabel
David Sabel
Manfred
Schmidt-Schauß
Manfred Schmidt-Schauß
10.4230/OASIcs.WPTE.2015.31
Creative Commons Attribution 3.0 Unported license
https://creativecommons.org/licenses/by/3.0/legalcode