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Finite Equational Bases in Process Algebra: Results and Open Questions

BRICS Report Series

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Title Finite Equational Bases in Process Algebra: Results and Open Questions
 
Creator Aceto, Luca
Fokkink, Willem Jan
Ingólfsdóttir, Anna
Luttik, Bas
 
Description Van Glabbeek (1990) presented the linear time-branching time spectrum of behavioral equivalences for finitely branching, concrete, sequential processes. He studied these semantics in the setting of the basic process algebra BCCSP, and tried to give finite complete and omega-complete axiomatizations for them. (An axiomatization E is omega-complete when an equation can be derived from E if, and only if, all its closed instantiations can be derived from E.) Obtaining such axiomatizations in concurrency theory often turns out to be difficult, even in the setting of simple languages like BCCSP. This has raised a host of open questions that have been the subject of intensive research in recent years. Most of these questions have been settled over BCCSP, either positively by giving a finite complete or omega-complete axiomatization, or negatively by proving that such an axiomatization does not exist. Still some open questions remain. This paper reports on these results, and on the state-of-the-art on axiomatizations for richer process algebras, containing constructs like sequential and parallel composition.
 
Publisher Aarhus University
 
Contributor
 
Date 2005-06-11
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/21885
10.7146/brics.v12i19.21885
 
Source BRICS Report Series; No 19 (2005): RS-19 Finite Equational Bases in Process Algebra: Results and Open Questions
BRICS Report Series; No 19 (2005): RS-19 Finite Equational Bases in Process Algebra: Results and Open Questions
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/21885/19312
 
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