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  • In this paper, we address several open problems concerning pure grammar systems (pGSs) and their controlled versions. More specifically, we prove the following four results. (I) Regular-controlled pGSs having a single component define the family of regular languages. (II) pGSs having two components controlled by infinite regular languages define the family of recursively enumerable languages. (III) Regular-controlled pGSs without any erasing rules define the family of regular languages not containing the empty string. (IV) pGSs define a proper subfamily of the family of regular languages.
  • In this paper, we address several open problems concerning pure grammar systems (pGSs) and their controlled versions. More specifically, we prove the following four results. (I) Regular-controlled pGSs having a single component define the family of regular languages. (II) pGSs having two components controlled by infinite regular languages define the family of recursively enumerable languages. (III) Regular-controlled pGSs without any erasing rules define the family of regular languages not containing the empty string. (IV) pGSs define a proper subfamily of the family of regular languages. (en)
Title
  • Solutions To Four Open Problems Concerning Controlled Pure Grammar Systems
  • Solutions To Four Open Problems Concerning Controlled Pure Grammar Systems (en)
skos:prefLabel
  • Solutions To Four Open Problems Concerning Controlled Pure Grammar Systems
  • Solutions To Four Open Problems Concerning Controlled Pure Grammar Systems (en)
skos:notation
  • RIV/00216305:26230/14:PU111907!RIV15-MSM-26230___
http://linked.open...avai/riv/aktivita
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  • P(ED1.1.00/02.0070), P(TE01020415), S, Z(MSM0021630528)
http://linked.open...iv/cisloPeriodika
  • 6
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  • 45923
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  • RIV/00216305:26230/14:PU111907
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  • formal languages, pure grammar systems, controlled leftmost derivations, regular languages, erasing rules (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [B8AA2977A561]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Computer Mathematics
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  • 91
http://linked.open...iv/tvurceVysledku
  • Meduna, Alexandr
  • Zemek, Petr
  • Vrábel, Lukáš
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-7160
number of pages
http://bibframe.org/vocab/doi
  • 10.1080/00207160.2013.829214
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  • 26230
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