{"title":"Two results concerning the power of two-way deterministic Pushdown Automata","authors":"Daniel Martin, J. Gwynn","doi":"10.1145/800192.805729","DOIUrl":null,"url":null,"abstract":"It is known that there is no one-way, non-deterministic Pushdown Automaton (INPDA) which is a universal machine for the class of Finite Automata [6]. We will show that there is a two-way, deterministic Pushdown Automaton (2DPDA), U, which is a universal machine for the class of Finite Automata (FA). Our method will parallel Knuth and Bigelow's construction of a language which is not context sensitive but which is the acceptance set of some stack automaton [5], that is, we will construct a language which is not context-free, but which is accepted by a 2DPDA.","PeriodicalId":72321,"journal":{"name":"ASSETS. Annual ACM Conference on Assistive Technologies","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1973-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ASSETS. Annual ACM Conference on Assistive Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800192.805729","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
It is known that there is no one-way, non-deterministic Pushdown Automaton (INPDA) which is a universal machine for the class of Finite Automata [6]. We will show that there is a two-way, deterministic Pushdown Automaton (2DPDA), U, which is a universal machine for the class of Finite Automata (FA). Our method will parallel Knuth and Bigelow's construction of a language which is not context sensitive but which is the acceptance set of some stack automaton [5], that is, we will construct a language which is not context-free, but which is accepted by a 2DPDA.
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