{"title":"On the average-case complexity of the reversibility problem for finite cellular automata","authors":"A. Clementi, P. Pierini, R. Impagliazzo","doi":"10.1109/PHYCMP.1994.363687","DOIUrl":null,"url":null,"abstract":"Of particular relevance in the theory and applications of cellular automata is the concept of invertibility. We study the computational complexity of deciding whether or not a given finite cellular automata is invertible. This problem is known to be CoNP-complete, we prove that the expected-time complexity of its randomized version is \"hard\": the problem is CoRNP-complete. Finally, we discuss some consequences of this result in the theory and applications of cellular automata.<<ETX>>","PeriodicalId":378733,"journal":{"name":"Proceedings Workshop on Physics and Computation. PhysComp '94","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings Workshop on Physics and Computation. PhysComp '94","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PHYCMP.1994.363687","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Of particular relevance in the theory and applications of cellular automata is the concept of invertibility. We study the computational complexity of deciding whether or not a given finite cellular automata is invertible. This problem is known to be CoNP-complete, we prove that the expected-time complexity of its randomized version is "hard": the problem is CoRNP-complete. Finally, we discuss some consequences of this result in the theory and applications of cellular automata.<>
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