Bounded Parikh Automata

The Parikh finite word automaton model (PA) was introduced and studied by Klaedtke and Ruess in 2003. Here, by means of related models, it is shown that the bounded languages recognized by PA are the same as those recognized by deterministic PA. Moreover, this class of languages is the class of boun...

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Main Authors: Michaël Cadilhac, Alain Finkel, Pierre McKenzie
Format: Article
Language:English
Published: Open Publishing Association 2011-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1108.3625v1
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author Michaël Cadilhac
Alain Finkel
Pierre McKenzie
author_facet Michaël Cadilhac
Alain Finkel
Pierre McKenzie
author_sort Michaël Cadilhac
collection DOAJ
description The Parikh finite word automaton model (PA) was introduced and studied by Klaedtke and Ruess in 2003. Here, by means of related models, it is shown that the bounded languages recognized by PA are the same as those recognized by deterministic PA. Moreover, this class of languages is the class of bounded languages whose set of iterations is semilinear.
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spelling doaj.art-2a6f4072a7db4951a5a52ef9f77cf3302022-12-21T22:47:20ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802011-08-0163Proc. WORDS 20119310210.4204/EPTCS.63.13Bounded Parikh AutomataMichaël CadilhacAlain FinkelPierre McKenzieThe Parikh finite word automaton model (PA) was introduced and studied by Klaedtke and Ruess in 2003. Here, by means of related models, it is shown that the bounded languages recognized by PA are the same as those recognized by deterministic PA. Moreover, this class of languages is the class of bounded languages whose set of iterations is semilinear.http://arxiv.org/pdf/1108.3625v1
spellingShingle Michaël Cadilhac
Alain Finkel
Pierre McKenzie
Bounded Parikh Automata
Electronic Proceedings in Theoretical Computer Science
title Bounded Parikh Automata
title_full Bounded Parikh Automata
title_fullStr Bounded Parikh Automata
title_full_unstemmed Bounded Parikh Automata
title_short Bounded Parikh Automata
title_sort bounded parikh automata
url http://arxiv.org/pdf/1108.3625v1
work_keys_str_mv AT michaelcadilhac boundedparikhautomata
AT alainfinkel boundedparikhautomata
AT pierremckenzie boundedparikhautomata