Dam, Mads (1994) On the Decidability of Process Equivalences for the pi-calculus. [SICS Report]
We present general results for showing process equivalences applied to the finite control fragment of the pi-calculus decidable. Firstly a Finite Reachability Theorem states that up to finite name spaces and up to a static normalisation procedure, the set of reachable agent expressions is finite. Secondly a Boundedness Lemma shows that no potential computations are missed when name spaces are chosen large enough, but finite. We show how these results lead to decidability for a number of pi-calculus equivalences such as strong or weak, late or early bismulation equivalence. Furthermore, for strong late equivalence we show how our techniques can be used to adapt the well-known Paige-Tarjan algorithm. Strikingly this results in a single exponential running time not much worse than the running time for the case of for instance CCS. Our results considerably strengthens previous results on decidable equivalences for parameter-passing process calculi.
|Item Type:||SICS Report|
|Uncontrolled Keywords:||Program Verification, Mobile Processes, Process Equivalence, Bisimulation Equivalence|
|Deposited By:||Vicki Carleson|
|Deposited On:||22 Oct 2007|
|Last Modified:||18 Nov 2009 16:00|
Repository Staff Only: item control page