PPT-Theory of Computation 1

Theory of Computation Peer Instruction Lecture Slides by  Dr Cynthia Lee UCSD  are licensed under a  Creative Commons Attribution NonCommercial ShareAlike 30 Unported License . CS3231, 2010-2011. First Semester. Rahul. Jain. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. Why do I care about Theory ?. It provides solid foundations.. Michal . Kouck. ý. Charles University. Based on joint work with: . H. . Buhrman. , R. Cleve, . B. . Loff. , F. . Speelman. , …. Space hierarchy. space . S. space . S’. 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.). Project Review 12 July 2013. Projects. Modelling. . dragonfly attention switching. Dendritic auditory processing. Processing images . with . spikes. Dendritic . computation with . memristors. . Computation in RATSLAM. 1. Query Optimization in Cooperation with an Ontological Reasoning Service. Hui. Shi, Kurt Maly, and Steven Zeil. Contact. : maly@cs.odu.edu. 2. Outline. Problem. What are we reasoning about?. What are the challenges?. Computers in a weird universe. Patrick Rall. Ph70. May 10, 2016. Advertising. “I laughed, I cried, I fell off my chair - and I was just reading the chapter on computational complexity … How is it possible for a serious book … to be so ridiculously entertaining?”. Theory of Computation Lecture 13: A Universal Program V. 1. Universality. In describing the state of a computation, we assume all variables to have the value 0 if not assigned a different value.. Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser. Ch 3.1, 3.2. Design TMs using different levels of descriptions.. Give high-level description for TMs (recognizers and enumerators) used in constructions. Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 4.1, 4.2. Trace high-level descriptions of algorithms for computational problems.. Use counting arguments to prove the existence of unrecognizable (undecidable) languages.. 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. What is possible to compute?. We can prove that there are some problems computers cannot solve. There are some problems computers can theoretically solve, but are intractable (would take too long to compute to be practical). 1. Computation. In general, a . partial function. f on a set S. m. is a function whose domain is a subset of S. m. .. If a partial function on S. m. has the domain S. m. , then it is called . total. Payman. . Mohassel. Yahoo Labs. 1. Do We Have the Same Person. in Mind?. Alice. Bob. Jack. . Joe. o. nly reveal . Yes/No. Solutions?. You have access to a trusted computer. You can use an airline reservation service. Active contributions to computation. Dendrites as computational elements:. Examples. Dendritic. computation. r. V. m. = . I. m. . R. m. Current flows uniformly out through the cell: . I. m. = . I.