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A finite axiomatization of nondeterministic regular expressions

Corradini, Flavio and De Nicola, Rocco and Labella, Anna A finite axiomatization of nondeterministic regular expressions. RAIRO - Theoretical Informatics and Applications, 33 (4/5). pp. 447-466. (1999)

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Abstract

An alternative (tree-based) semantics for a class of regular expressions is proposed that assigns a central rôle to the + operator and thus to nondeterminism and nondeterministic choice. For the new semantics a consistent and complete axiomatization is obtained from the original axiomatization of regular expressions by Salomaa and by Kozen by dropping the idempotence law for + and the distribution law of • over +.

Item Type: Article
Identification Number: https://doi.org/10.1051/ita:1999127
Additional Information: Mathematics Subject Classification: 68Q55; 68Q68; 08B05
Uncontrolled Keywords: Semantics; regular expressions; axiomatizations; bisimulation.
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Rocco De Nicola
Date Deposited: 09 Jun 2011 09:45
Last Modified: 11 Jul 2011 14:36
URI: http://eprints.imtlucca.it/id/eprint/344

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