PPT-Decidable languages

Author : danika-pritchard | Published Date : 2015-11-20

Sipser 41 pages 165173 Hierarchy of languages All languages Turingrecognizable Turingdecidable Contextfree languages Regular languages 0 n 1 n a n b n c n D 0 1

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Decidable languages: Transcript

Sipser 41 pages 165173 Hierarchy of languages All languages Turingrecognizable Turingdecidable Contextfree languages Regular languages 0 n 1 n a n b n c n D 0 1 Describing Turing machine input. A is a decidable language q0 0111 q0 q1q2q3 01 q0q2q3 0111 Decidable Problems q0 A B is an NFA B accepts w NFA Th A is decidable NFA q1q2q3 01 q0 q0 q1 brPage 2br Decidable Problems DFA E B is a DFA LB is nonempty Th E is decidable DFA L brPage 2br RecursiveandRecursivelyEnumerable Alanguageis recursivelyenumerable reif itisthesetofstringsacceptedbysomeTM Alanguageis recursive ifitisthesetofstrings acceptedbysomeTMthathaltson every input Forexampleanyregularlanguageisrecursive Wewil 1. . Theory of Computation Peer Instruction Lecture Slides by . Dr. Cynthia Lee, UCSD. are licensed under a . Creative Commons Attribution-. NonCommercial. -. ShareAlike. 3.0 . Unported. License. Class 22: . Introducing Complexity. Spring 2010. University of Virginia. David Evans. Exam 2: due now. Read Chapter 7. (we skip Ch 6). Classes 1-13. s. All Languages. Regular Languages. a. Finite Languages. Lecture14: Recap. Prof. Amos Israeli. Regular languages – Finite automata.. Context free languages – Stack automata.. Decidable languages – Turing machines.. Undecidability.. Reductions.. Subjects. Class 17: . Undecidable Languages. Spring 2010. University of Virginia. David Evans. Menu. Another . Self-Rejecting . argument: . diagonalization. A language that is . Turing-recognizable. but not . .Wealsoknowthattherearedecidablelanguagesthatarenotcontext-free,forexampleL=f0n1n2njn0g.Sothepictureoftheworldthusfaristhis: Nowwewillseethattherearelanguagesthatareundecidable{byChurch-TuringThesi bn wwR Our main goal is to exhibit a language L that Theory of Computation. Alexander . Tsiatas. Spring 2012. Theory of Computation Lecture Slides by Alexander . Tsiatas. is licensed under a Creative Commons Attribution-. NonCommercial. -. ShareAlike. Turing Machine: Languages. Recall that a collection of strings that a TM M accepts is called. the language of M or language recognized by M, denoted L(M).. Definition. A . language is Turing-recognizable (or recursively enumerable) if . Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 4.1. Explain what it means for a problem to be decidable.. Justify the use of encoding.. Give examples of decidable problems.. Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 4.1. Explain what it means for a problem to be decidable.. Justify the use of encoding.. Give examples of decidable problems.. The halting problem is . undecidable. Decidability. Undecidability. decidable  RE  all languages. our goal: prove these containments proper. regular languages. context free languages. all languages. Based on . M. . Sipser. , “Introduction to the Theory of Computation,” Second Edition, Thomson/Course Technology, 2006, Chapter 5.. Review. Recall the . halting problem. :. . HALT. TM. = { . .

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