@article{eprints344, volume = {33}, number = {4/5}, pages = {447--466}, title = {A finite axiomatization of nondeterministic regular expressions}, year = {1999}, publisher = {Cambridge University Press}, note = {Mathematics Subject Classification: 68Q55; 68Q68; 08B05}, journal = {RAIRO - Theoretical Informatics and Applications}, author = {Flavio Corradini and Rocco De Nicola and Anna Labella}, url = {http://eprints.imtlucca.it/344/}, abstract = {An alternative (tree-based) semantics for a class of regular expressions is proposed that assigns a central r{\^o}le 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 +. }, keywords = { Semantics; regular expressions; axiomatizations; bisimulation.} }