{"title":"SET DECIPHERABLE LANGUAGES AND GENERATORS","authors":"Tran Vinh Duc","doi":"10.15625/1813-9663/36/4/15317","DOIUrl":null,"url":null,"abstract":"We investigate the problem to characterize whether the infinite product of a given language L is generated by an ω-code. Up to now, this problem is open even if language L is a finite language. In this work, we consider a class of languages named ω-set decipherable languages which are very close to the ω-codes. We solve the problem in the restricted case where L is ω-set decipherable and L∗ is the greatest generator of Lω.","PeriodicalId":15444,"journal":{"name":"Journal of Computer Science and Cybernetics","volume":"45 1","pages":"381-392"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer Science and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15625/1813-9663/36/4/15317","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
We investigate the problem to characterize whether the infinite product of a given language L is generated by an ω-code. Up to now, this problem is open even if language L is a finite language. In this work, we consider a class of languages named ω-set decipherable languages which are very close to the ω-codes. We solve the problem in the restricted case where L is ω-set decipherable and L∗ is the greatest generator of Lω.
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