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On the computational power of affine automata

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9 Citations (Scopus)

Abstract

We investigate the computational power of affine automata (AfAs) introduced in [4]. In particular, we present a simpler proof for how to change the cutpoint for any affine language and a method how to reduce error in bounded error case. Moreover, we address to the question of [4] by showing that any affine language can be recognized by an AfA with certain limitation on the entries of affine states and transition matrices. Lastly, we present the first languages shown to be not recognized by AfAs with bounded-error.

Original languageEnglish
Title of host publicationLanguage and Automata Theory and Applications - 11th International Conference, LATA 2017, Proceedings
EditorsFrank Drewes, Carlos Martín-Vide, Bianca Truthe
PublisherSpringer Verlag
Pages405-417
Number of pages13
ISBN (Print)9783319537320
DOIs
Publication statusPublished - 2017
Event11th International Conference on Language and Automata Theory and Applications, LATA 2017 - Umea, Sweden
Duration: 6 Mar 20179 Mar 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10168 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Language and Automata Theory and Applications, LATA 2017
Country/TerritorySweden
City Umea
Period6/03/179/03/17

Keywords

  • Affine automata
  • Bounded error
  • Compact sets
  • Cutpoint languages
  • Error reduction
  • Non-classical models of automata

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