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A Cook’s Tour of Equational Axiomatizations for Prefix Iteration

BRICS Report Series

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Title A Cook’s Tour of Equational Axiomatizations for Prefix Iteration
 
Creator Aceto, Luca
Fokkink, Willem Jan
Ingólfsdóttir, Anna
 
Description Prefix iteration is a variation on the original binary version of theKleene star operation P*Q, obtained by restricting the first argument to be an atomic action, and yields simple iterative behaviours that can be equationally characterized by means of finite collections of axioms. In this paper, we present axiomatic characterizations for a significant fragment of the notions of equivalence and preorder in van Glabbeek's linear-time/branching-time spectrum over Milner's basic CCS extended with prefix iteration. More precisely, we consider ready simulation, simulation, readiness, trace and language semantics, and provide complete (in)equational axiomatizations for each of these notions over BCCS with prefix iteration. All of the axiom systems we present are finite, if so is the set of atomic actions under consideration.
 
Publisher Aarhus University
 
Contributor
 
Date 1998-06-19
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/19494
10.7146/brics.v5i49.19494
 
Source BRICS Report Series; No 49 (1998): RS-49 A Cook’s Tour of Equational Axiomatizations for Prefix Iteration
BRICS Report Series; No 49 (1998): RS-49 A Cook’s Tour of Equational Axiomatizations for Prefix Iteration
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/19494/17116
 
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