Impossibility Results for the Equational Theory of Timed CCS

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Impossibility Results for the Equational Theory of Timed CCS
We study the equational theory of Timed CCS as proposed by Wang Yi in CONCUR’90. Common to Wang Yi’s paper, we particularly focus on a class of linearly-ordered time domains exemplified by the positive real or rational numbers. We show that, even when the set of basic actions is a singleton, there are parallel Timed CCS processes that do not have any sequential equivalent and thus improve on the Gap Theorem for Timed CCS presented by Godskesen and Larsen in FSTTCS’92. Furthermore, we show that timed bisimilarity is not finitely based both for single-sorted and two-sorted presentations of Timed CCS. We further strengthen this result by showing that, unlike in some other process algebras, adding the untimed or the timed left-merge operator to the syntax and semantics of Timed CCS does not solve the axiomatizability problem.
Luca Aceto, Anna Ingólfsdóttir, Moha
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Authors Luca Aceto, Anna Ingólfsdóttir, Mohammad Reza Mousavi
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