A portfolio of classification problems by one-dimensional cellular automata, over cyclic binary configurations and parallel update

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dc.contributor.authorMontalva-Medel M.
dc.contributor.authorde Oliveira P.P.B.
dc.contributor.authorGoles E.
dc.date.accessioned2024-03-12T23:57:06Z
dc.date.available2024-03-12T23:57:06Z
dc.date.issued2018
dc.description.abstract© 2017, Springer Science+Business Media B.V.Decision problems addressed by cellular automata have been historically expressed either as determining whether initial configurations would belong to a given language, or as classifying the initial configurations according to a property in them. Unlike traditional approaches in language recognition, classification problems have typically relied upon cyclic configurations and fully paralell (two-way) update of the cells, which render the action of the cellular automaton relatively less controllable and difficult to analyse. Although the notion of cyclic languages have been studied in the wider realm of formal languages, only recently a more systematic attempt has come into play in respect to cellular automata with fully parallel update. With the goal of contributing to this effort, we propose a unified definition of classification problem for one-dimensional, binary cellular automata, from which various known problems are couched in and novel ones are defined, and analyse the solvability of the new problems. Such a unified perspective aims at increasing existing knowledge about classification problems by cellular automata over cyclic configurations and parallel update.
dc.description.firstpage663
dc.description.issuenumber3
dc.description.lastpage671
dc.description.volume17
dc.identifier.doi10.1007/s11047-017-9650-1
dc.identifier.issn1572-9796
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/35487
dc.relation.ispartofNatural Computing
dc.rightsAcesso Restrito
dc.subject.otherlanguageClassification problem
dc.subject.otherlanguageDecision problem
dc.subject.otherlanguageDensity
dc.subject.otherlanguageEmergent computation
dc.subject.otherlanguageLanguage recognition
dc.subject.otherlanguageOne-dimensional cellular automata
dc.subject.otherlanguageParity
dc.titleA portfolio of classification problems by one-dimensional cellular automata, over cyclic binary configurations and parallel update
dc.typeArtigo
local.scopus.citations7
local.scopus.eid2-s2.0-85032665778
local.scopus.subjectBinary cellular automata
local.scopus.subjectCyclic languages
local.scopus.subjectDecision problems
local.scopus.subjectEmergent computation
local.scopus.subjectInitial configuration
local.scopus.subjectLanguage recognition
local.scopus.subjectParity
local.scopus.subjectTraditional approaches
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85032665778&origin=inward
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