{"title":"Tree generating context-free grammars and regular tree grammars are equivalent","authors":"Dávid Kószó","doi":"10.33039/ami.2022.12.007","DOIUrl":null,"url":null,"abstract":". We show that it is decidable whether the language generated by a given context-free grammar over a tree alphabet is a tree language. Furthermore, if the answer to this question is “yes”, then we can even effectively construct a regular tree grammar which generates that tree language.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/ami.2022.12.007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
. We show that it is decidable whether the language generated by a given context-free grammar over a tree alphabet is a tree language. Furthermore, if the answer to this question is “yes”, then we can even effectively construct a regular tree grammar which generates that tree language.
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