J 2012

Identity checking problem for transformation monoids

KLÍMA, Ondřej

Basic information

Original name

Identity checking problem for transformation monoids

Name in Czech

Problém kontroly identit v transformačních monoidech

Authors

KLÍMA, Ondřej (203 Czech Republic, guarantor, belonging to the institution)

Edition

Semigroup Forum, Springer-Verlag, 2012, 0037-1912

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

Impact factor

Impact factor: 0.455

RIV identification code

RIV/00216224:14310/12:00057566

Organization unit

Faculty of Science

UT WoS

000306590200005

Keywords in English

Checking identities; Finite semigroups; Complexity

Tags

Tags

International impact, Reviewed
Changed: 10/4/2013 18:35, Ing. Andrea Mikešková

Abstract

V originále

We study the computational complexity of checking identities in a fixed finite monoid. We prove that this problem is coNP-complete for the monoid of all full transformations of a 4-element set. This result completes the description of the complexity of checking identities in the transformation monoids.

In Czech

Studujeme výpočetní složitost problému kontroly identit v pevně daném konečném monoidu. Dokázali jsem, že tento problém je coNP-těžký pro transformační monoid čtyřprvkové množiny. Tím jsme dokončili popis složitosti problému kontroly identit v transformačních monoidech.

Links

GA201/09/1313, research and development project
Name: Algebraické metody v teorii automatů a formálních jazyků II
Investor: Czech Science Foundation, Algebraic Methods in Automata and Formal Language Theory II
MSM0021622409, plan (intention)
Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
1M0545, research and development project
Name: Institut Teoretické Informatiky
Investor: Ministry of Education, Youth and Sports of the CR, Institute for Theoretical Computer Science