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A Complete Equational Axiomatization for MPA with String Iteration (1995)  (Make Corrections)  (8 citations)
Luca Aceto, Jan Frisco Groote
169



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Abstract: We study equational axiomatizations of bisimulation equivalence for the language obtained by extending Milner's basic CCS with string iteration. String iteration is a variation on the original binary version of the Kleene star operation p q obtained by restricting the first argument to be a non-empty sequence of atomic actions. We show that, for every positive integer k, bisimulation equivalence over the set of processes in this language with loops of length at most k is finitely... (Update)

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.... The research literature on process theory has recently witnessed a resurgence of interest in Kleene star like operations [6, 11, 9, 19, 8, 3, 10, 1, 2]. In [8] treebased models for theories involving Kleene s star operation [15] are studied. 6] investigates the...

.... shown by Sewell [20] On the other hand, there are extensions of action prefix iteration that still have finite axiomatizations, see e.g. [1, 15]. We can look at the combination of prefix iteration and renaming. Here, the axioms we have are definitely not complete, we need the...

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7:   Representation of Events in Nerve Nets and Finite Automata (context) - Kleene - 1956
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BibTeX entry:   (Update)

L. Aceto and J.F. Groote. A complete equational axiomatization for MPA with string iteration. Report RS-95-28, BRICS, Aalborg University, 1995. Available via ftp at brics.aau.dk in the directory pub/BRICS/RS/95/28. http://citeseer.ist.psu.edu/article/aceto95complete.html   More

@incollection{ aceto97complete,
    author = "Luca Aceto and Jan Friso Groote",
    title = "A complete equational axiomatization for {MPA} with string iteration",
    booktitle = "169",
    month = "30",
    publisher = "Centrum voor Wiskunde en Informatica (CWI)",
    address = "ISSN 1386-369X",
    pages = "30",
    year = "1997",
    url = "citeseer.ist.psu.edu/article/aceto95complete.html" }
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