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Simple language equations

Result description

We survey results, both positive and negative, on regularity of maximal solutions of systems of implicit language equations and inequalities. These results concern inequalities with constant right-hand sides, one-sided linear inequalities, inequalities with restrictions on constants, and commutation equations and inequalities. In addition, we present some of these results in a generalized form in order to underline common principles.

Keywords

Language equationRegular languageWell quasi-orderRecursively enumerable languageCommutation of languages

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Simple language equations

  • Original language description

    We survey results, both positive and negative, on regularity of maximal solutions of systems of implicit language equations and inequalities. These results concern inequalities with constant right-hand sides, one-sided linear inequalities, inequalities with restrictions on constants, and commutation equations and inequalities. In addition, we present some of these results in a generalized form in order to underline common principles.

  • Czech name

    Jednoduché jazykové rovnice

  • Czech description

    Článek shrnuje pozitivní i negativní výsledky o regularitě maximálních řešení systémů implicitních jazykových rovnic a nerovnic. Tyto výsledky se týkají nerovnic s konstantními pravými stranami, nerovnic s omezeními na konstanty a komutačních rovnic a nerovnic. Některé z těchto výsledků navíc uvádíme ve zobecněné podobě za účelem zdůraznění společných principů.

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Bulletin of the European Association for Theoretical Computer Science EATCS

  • ISSN

    0252-9742

  • e-ISSN

  • Volume of the periodical

    85

  • Issue of the periodical within the volume

    February

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    22

  • Pages from-to

    81

  • UT code for WoS article

  • EID of the result in the Scopus database