Skip to main navigation Skip to search Skip to main content

On discerning strings with finite automata

  • Laboratório Nacional de Computação Científica
  • Universidad Nacional de Colombia

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

2 Citations (Scopus)

Abstract

We study the problem of discerning strings with deterministic finite state automata (DFAs, for short). We begin with a survey on the historical and algorithmic roots of this problem. Then, we focus on the maximun number of states that are necessary to separate two strings of a given length. We survey the most important results concerning this issue and we study the problem from the point of view of some alternative models of automata. The preliminary results concerning the last issue motivate us to formulate a conjecture stating that DFAs can separate any pair of strings by using a logarithmic number of states. We give some evidence supporting our conjecture.

Original languageEnglish
Title of host publicationProceedings - 2015 41st Latin American Computing Conference, CLEI 2015
EditorsAlex Cuadros-Vargas, Hector Cancela, Ernesto Cuadros-Vargas
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467391436
DOIs
Publication statusPublished - 16 Dec 2015
Externally publishedYes
Event41st Latin American Computing Conference, CLEI 2015 - Arequipa, Peru
Duration: 19 Oct 2015 → 23 Oct 2015

Publication series

NameProceedings - 2015 41st Latin American Computing Conference, CLEI 2015

Conference

Conference41st Latin American Computing Conference, CLEI 2015
Country/TerritoryPeru
CityArequipa
Period19/10/15 → 23/10/15

Cite this