J 2020

Forbidden patterns for ordered automata

KLÍMA, Ondřej and Libor POLÁK

Basic information

Original name

Forbidden patterns for ordered automata

Authors

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

Edition

Journal of Automata, Languages and Combinatorics, Institut fur Informatik, Justus-Liebig-Universitat Giessen, 2020, 1430-189X

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

References:

RIV identification code

RIV/00216224:14310/20:00114579

Organization unit

Faculty of Science

EID Scopus

2-s2.0-85089837623

Keywords in English

deterministic automata; varieties of regular languages; varieties of automata

Tags

Tags

International impact, Reviewed
Changed: 16/12/2020 14:09, doc. Mgr. Ondřej Klíma, Ph.D.

Abstract

V originále

The contribution concerns decision procedures in the algebraic theory of regular lan-guages. Among others, various versions of forbidden patterns or configurations in automata are treated in the existing literature. Basically, one looks for certain subgraphs of the minimal automaton of a given language to decide whether this language does not belong to a given significant class of regular languages. We survey numerous known examples and we build a general theory covering the most of familiar ones. The chosen formalism differs from existing ones and the generalization to ordered automata enables us to reformulate some of known examples in a uniform shape. We also describe certain sufficient assumptions on the forbidden pattern which ensure that the corresponding class of languages forms a robust class in the sense of natural closure properties.

Links

GA15-02862S, research and development project
Name: Aplikace algebry a kombinatoriky v teorii formálních jazyků
Investor: Czech Science Foundation