PPT-CS6800 Advanced Theory of Computation

Hybrid Genetic Algorithm in Solving TSP By TingYu Mu Outline Introduction of pure Genetic Algorithm Introduction of Traveling Salesman Problem Example of pure GA solving TSP The Hybrid Genetic Algorithm. 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.. π. . by Archimedes. Bill McKeeman. Dartmouth College. 2012.02.15. Abstract. It is famously known that Archimedes approximated . π.  by computing the perimeters of . many-sided . regular polygons, one polygon inside the circle and one outside. This presentation recapitulates . 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 16: A Universal Program VII. 1. Recursively Enumerable Sets. Definition:. The set B  N is called . recursively enumerable. Theory of Computation Lecture 24: Turing Machines III. 1. Turing Machines. Actually, Turing’s original model of a computer was different from the Post-Turing language.. 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.. 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. 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.. 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). This course: A study of . abstract. . models of computers and computation.. Why theory, when computer field is so practical?. Theory provides concepts and principles, for both hardware and software that help us understand the general nature of the field.. 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. Charly Collin – . Sumanta. . Pattanaik. – Patrick . LiKamWa. Kadi Bouatouch. Painted materials. Painted materials. Painted materials. Painted materials. Our goal. Base layer. Binder thickness. Chapter one Alphabets and Languages Alphabets A symbol is an undefined term. (Cf. an abstract entity like point or line in geometry.) E.g. S, s, #, %, @, $, *, ?, !, =, +, - An alphabet Σ is a