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Regular solutions of language inequalities and well quasi-orders

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F04%3A00011502" target="_blank" >RIV/00216224:14310/04:00011502 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Regular solutions of language inequalities and well quasi-orders

  • Original language description

    By means of constructing suitable well quasi-orders of free monoids we prove that all maximal solutions of certain systems of language inequalities are regular. This way we deal with a wide class of systems of inequalities where all constants are languages recognized by finite simple semigroups. In a similar manner we also demonstrate that the largest solution of the inequality XK subseteq LX is regular provided the language L is regular.

  • Czech name

    Regularni reseni jazykovych nerovnic a dobra predusporadani

  • Czech description

    Pomoci vhodnych dobrych predusporadani volnych monoidu je dokazano, ze vsechna maximalni reseni jistych systemu jazykovych nerovnic jsou regularni. Tato metoda je aplikovana na rozsahlou tridu systemu nerovnic, kde vsechny konstanty jsou jazyky rozpoznavane konecnymi jednoduchymi pologrupami. Podobne je rovnez dokazano, ze nejvetsi reseni nerovnosti XK subseteq LX je regularni za predpokladu, ze jazyk L je regularni.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F01%2F0323" target="_blank" >GA201/01/0323: Equational logic of semigroups and applications</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Automata, Languages and Programming: 31st International Colloquium, ICALP 2004, Turku, Finland, July 12-16, 2004. Proceedings

  • ISBN

    3-540-22849-7

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    870

  • Publisher name

    Springer-Verlag

  • Place of publication

    Heidelberg

  • Event location

    Turku, Finland

  • Event date

    Jan 1, 2004

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article