{"title":"自动机理论中的不确定性和不完备性结果","authors":"J. Hartmanis","doi":"10.1142/9789812810168_0002","DOIUrl":null,"url":null,"abstract":"Automata theory is inextricably intertwined with undecidability and incompleteness results. This papers explores the beautiful panorama of undecidability and Godel-like incompleteness results in automata theory that reveals their ubiquity and clarifies and illustrates how the severity of these results changes with the complexity of the problems and the computing power of the automata.","PeriodicalId":294477,"journal":{"name":"A Half-Century of Automata Theory","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Undecidability and Incompleteness Results in Automata Theory\",\"authors\":\"J. Hartmanis\",\"doi\":\"10.1142/9789812810168_0002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Automata theory is inextricably intertwined with undecidability and incompleteness results. This papers explores the beautiful panorama of undecidability and Godel-like incompleteness results in automata theory that reveals their ubiquity and clarifies and illustrates how the severity of these results changes with the complexity of the problems and the computing power of the automata.\",\"PeriodicalId\":294477,\"journal\":{\"name\":\"A Half-Century of Automata Theory\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"A Half-Century of Automata Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789812810168_0002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"A Half-Century of Automata Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812810168_0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Undecidability and Incompleteness Results in Automata Theory
Automata theory is inextricably intertwined with undecidability and incompleteness results. This papers explores the beautiful panorama of undecidability and Godel-like incompleteness results in automata theory that reveals their ubiquity and clarifies and illustrates how the severity of these results changes with the complexity of the problems and the computing power of the automata.