Formations of monoids, congruences, and formal languages
NAGIOS: RODERIC FUNCIONANDO

Formations of monoids, congruences, and formal languages

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Formations of monoids, congruences, and formal languages

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dc.contributor.author Ballester-Bolinches, Adolfo
dc.contributor.author Cosme i Llópez, Enric
dc.contributor.author Esteban Romero, Ramón
dc.contributor.author Rutten, J.J.M.M.
dc.date.accessioned 2016-01-07T09:21:59Z
dc.date.available 2016-01-07T09:21:59Z
dc.date.issued 2015
dc.identifier.uri http://hdl.handle.net/10550/49786
dc.description.abstract The main goal in this paper is to use a dual equivalence in automata theory started in [25] and developed in [3] to prove a general version of the Eilenberg-type theorem presented in [4]. Our principal results confirm the existence of a bijective correspondence between three concepts; formations of monoids, formations of languages and formations of congruences. The result does not require finiteness on monoids, nor regularity on languages nor finite index conditions on congruences. We relate our work to other results in the field and we include applications to non-r-disjunctive languages, Reiterman's equational description of pseudovarieties and varieties of monoids
dc.language.iso eng
dc.relation.ispartof Scientific Annals of Computer Science, 2015, vol. 25, num. 2, p. 171-209
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Ballester-Bolinches, Adolfo Cosme i Llópez, Enric Esteban Romero, Ramón Rutten, J.J.M.M. 2015 Formations of monoids, congruences, and formal languages Scientific Annals of Computer Science 25 2 171 209
dc.subject Llenguatges de programació
dc.subject Àlgebra
dc.title Formations of monoids, congruences, and formal languages
dc.type info:eu-repo/semantics/article
dc.date.updated 2016-01-07T09:22:00Z
dc.identifier.doi http://dx.doi.org/10.7561/SACS.2015.2.171
dc.identifier.idgrec 108975

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