PPT-cs3102: Theory of Computation

Class 11 Moore Mealy and Markov Models Spring 2010 University of Virginia David Evans Menu Exam Review Variations on DFAs Moore Machine states produce output Mealy Machine edges produce output. Class 18: . Proving Undecidability. Spring 2010. University of Virginia. David Evans. Menu. Revisiting the Halting Problem . Proof by Paradox. Universal Programming Languages. Reduction Proofs. Barbara . (aka cs302: Discrete Mathematics II). Spring 2010. University of Virginia. David Evans. Computation is what Computers do, who needs theory?. flickr. : . gastev. [cc]. Charles Babbage’s . Difference Engine. Class . 4: . Nondeterminism. Spring 2010. University of Virginia. David Evans. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. A. A. A. Class 15: . Church-Turing Thesis. Spring 2010. University of Virginia. David Evans. Turing . Machine Recap. . . .. FSM. Defining. TM Computing Model. . . .. FSM. TM Computing Model. Drawing Turing Machines. Michal . Kouck. ý. Charles University. Based on joint work with: . H. . Buhrman. , R. Cleve, . B. . Loff. , F. . Speelman. , …. Space hierarchy. space . S. space . S’. 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. Mike Stannett, University of Sheffield (m.stannett@dcs.shef.ac.uk). New Worlds of Computation, LIFO, . Orléans. , 23 May 2011. Outline of talk. Cosmological computation (what is it?). First-order relativity theories (Andréka et al.). 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 . Class 5: . Non-Regular Languages. Spring 2010. University of Virginia. David Evans. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. A. Class 6: . Pushdown Automata. Spring 2010. University of Virginia. David Evans. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. Menu. Revisiting and Reversing the Pumping Lemma. 1. Topics ahead. Computation in general. Hilbert’s Program: Is mathematics. c. omplete,. c. onsistent and. decidable? (. Entscheidungsproblem. ). Answers. Goedel’s. theorem. Turing’s machine. Chapter 4: Computation. Ranjit . Kumaresan. (MIT). Based on joint works with . Iddo. . Bentov. (. Technion. ), Tal Moran (IDC), Guy . Zyskind. (MIT). x. f. . (. x,y. ). y. f. . (. x,y. ). Secure Computation. Most general problem in cryptography. Adrian Farrel. Old Dog Consulting. adrian@olddog.co.uk. History of PCE. We know where PCE comes from. Simple CSPF computation of paths for MPLS-TE. But RFC 4655 was not quite so limited in its definition. Class 24: . NP-Completeness. Spring 2010. University of Virginia. David Evans. Menu. Dilbert and Decidability. P = NP . Recap. Proving a problem is in . NP. NP-Complete. If you haven’t yet, read PS7 today! It is different from previous PS and you should start thinking about it. You are not expect to wait until PS6 is due to start PS7..