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Context-Free Grammars over Free Groups

Result description

This document introduces the notion of context-free grammar over a free group and examines the generative capacity of this structure. The algorithm of transformation of any type-0 grammar to an equivalent context-free grammar over a free group is demonstrated. As the main result, the equivalence of the family of recursively enumerable languages and the family of languages generated by context-free grammars over free groups is proved.

Keywords

Context-Free GrammarsPenttonen Normal FormsFree GroupsRecursively Enumerable Languages

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Context-Free Grammars over Free Groups

  • Original language description

    This document introduces the notion of context-free grammar over a free group and examines the generative capacity of this structure. The algorithm of transformation of any type-0 grammar to an equivalent context-free grammar over a free group is demonstrated. As the main result, the equivalence of the family of recursively enumerable languages and the family of languages generated by context-free grammars over free groups is proved.

  • Czech name

    Bezkontextové gramatiky nad volnými grupami

  • Czech description

    Dokument zavádí pojem bezkontextové gramatiky nad volnou grupou a zkoumá generativní schopnosti této struktury. Je představen algoritmus transformace libovolné gramatiky typu 0 na bezkontextovou gramatiku nad volnou grupou. Jako hlavní výsledek je dokázáno, že tyto gramatiky generují celou třídu rekurzívně vyčíslitelných jazyků.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JC - Computer hardware and software

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2005

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of 8th International Conference ISIM'05 Information System Implementation and Modeling

  • ISBN

    80-86840-09-3

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    95-101

  • Publisher name

    NEUVEDEN

  • Place of publication

    Ostrava

  • Event location

    Hradec nad Moravicí

  • Event date

    Apr 19, 2005

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

CEP

JC - Computer hardware and software

Year of implementation

2005