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A characterization of subshifts with computable language

  • LORIA Laboratoire Lorrain de Recherche en Informatique et ses Applications
  • Université de PARIS XII

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Citations (Scopus)

Abstract

Subshifts are sets of colorings of Zd by a finite alphabet that avoid some family of forbidden patterns. We investigate here some analogies with group theory that were first noticed by the first author. In particular we prove several theorems on subshifts inspired by Higman’s embedding theorems of group theory, among which, the fact that subshifts with a computable language can be obtained as restrictions of minimal subshifts of finite type.

Original languageEnglish
Title of host publication36th International Symposium on Theoretical Aspects of Computer Science, STACS 2019
EditorsRolf Niedermeier, Christophe Paul
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959771009
DOIs
Publication statusPublished - 1 Mar 2019
Externally publishedYes
Event36th International Symposium on Theoretical Aspects of Computer Science, STACS 2019 - Berlin, Germany
Duration: 13 Mar 201916 Mar 2019

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume126
ISSN (Print)1868-8969

Conference

Conference36th International Symposium on Theoretical Aspects of Computer Science, STACS 2019
Country/TerritoryGermany
CityBerlin
Period13/03/1916/03/19

Keywords

  • Computability
  • Enumeration degree
  • Minimal subshifts
  • Subshifts
  • Turing degree

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