Explorando a noção de reversibilidade parcial de autômatos celulares elementares em reticulados cíclicos

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dc.contributor.advisorOliveira, Pedro Paulo Balbi dept_BR
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/9556738277476279por
dc.contributor.authorFreitas, Rodrigo da Silvapt_BR
dc.creator.Latteshttp://lattes.cnpq.br/7214521601820076por
dc.date.accessioned2016-03-15T19:37:32Z
dc.date.accessioned2020-05-28T18:08:29Z
dc.date.available2011-01-20pt_BR
dc.date.available2020-05-28T18:08:29Z
dc.date.issued2010-08-12pt_BR
dc.description.abstractCellular automata have been studied as computer models in many different forms. Several of its properties have been widely explored, among which reversibility stands out. This property is able to provide a cellular automaton the possibility of having their temporal evolution regenerated backward in time, regardless of its initial configuration, through an inverse cellular automaton. Reversibility is such a well characterized concept that many fundamental results associated with it have been obtained, such as the development of algorithms to enumerate all reversible one-dimensional cellular automata and the undecidability of this property for cellular automata in dimensions larger than 1. The driving force for the present research is to introduce a new concept involving the reversibility ability of a cellular automaton, the concept of partial reversibility, which is analysed herein according to the pre-images of all initial configurations of a rule, up to a certain length. This new concept may be useful for evolutionary searches for reversible cellular automata, to allow the use of cellular automata in tasks related somehow to the reversibility degree of a rule, or in applications where reversible rules are demonstrably employed, such as in cryptography. To that end, some parameters presumably related to reversibility are studied and compared, and empirical measures (lexicographical and numerical) are addressed. The results involving these empirical measures, showed that is possible to refer to a more partially reversible rule than another, besides revealing properties, apparently unknown so far, involving the pre-images of elementary rules.eng
dc.description.sponsorshipFundo Mackenzie de Pesquisapt_BR
dc.formatapplication/pdfpor
dc.identifier.urihttp://dspace.mackenzie.br/handle/10899/24311
dc.languageporpor
dc.publisherUniversidade Presbiteriana Mackenziepor
dc.rightsAcesso Abertopor
dc.subjectautômatos celularespor
dc.subjectregras reversíveispor
dc.subjectregras parcialmente reversíveispor
dc.subjectpadrão de reversibilidadepor
dc.subjectespaço elementarpor
dc.subjectcellular automataeng
dc.subjectreversible ruleseng
dc.subjectpartially reversible ruleseng
dc.subjectreversibility patterneng
dc.subjectelementary spaceeng
dc.subject.cnpqCNPQ::ENGENHARIAS::ENGENHARIA ELETRICApor
dc.thumbnail.urlhttp://tede.mackenzie.br/jspui/retrieve/3829/Rodrigo%20da%20Silva%20Freitas.pdf.jpg*
dc.titleExplorando a noção de reversibilidade parcial de autômatos celulares elementares em reticulados cíclicospor
dc.typeDissertaçãopor
local.contributor.board1Silva, Leandro Nunes de Castropt_BR
local.contributor.board1Latteshttp://lattes.cnpq.br/2741458816539568por
local.contributor.board2Silva Filho, Antonio Carlos Roque dapt_BR
local.contributor.board2Latteshttp://lattes.cnpq.br/4609096963207702por
local.publisher.countryBRpor
local.publisher.departmentEngenharia Elétricapor
local.publisher.initialsUPMpor
local.publisher.programEngenharia Elétricapor
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