PPT-CSE 105 Theory of Computation

Alexander Tsiatas Spring 2012 Theory of Computation Lecture Slides by Alexander Tsiatas is licensed under a Creative Commons Attribution NonCommercial ShareAlike 30 Unported License. Computation Theory L 8 102171 brPage 3br Examples of recursive de64257nitions sum of 012 Computation Theory L 8 103169 brPage 4br Examples of recursive de64257nitions sum of 012 th Fibonacci number Computation Theory L 8 103169 brPage 5br E 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.. Theory of Computation Lecture 16: A Universal Program VII. 1. Recursively Enumerable Sets. Definition:. The set B  N is called . recursively enumerable. 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 5.1. Define and explain core examples of decision problems: A. DFA. , E. DFA. , EQ. DFA. , A. TM. , . HALT. 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). . Razul. Overview of Molecular Dynamics . Simulation. T. heory. Introduction. . In . the 1950. ’. s . two landmark pioneering . publications. :. The . first by Metropolis et al. . . N. . Metropolis, A.W. . 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). Fall . 2017. http://cseweb.ucsd.edu/classes/fa17/cse105-a/. Learning goals. Introductions. Clickers. When did you take CSE 20?. Winter 2017. Fall 2016. Spring 2016. Winter 2016. PETER 108: AC. To change your remote frequency. 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. 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 Tom Jones. Hyesung. Kang (PNU, Korea). Dongsu. . Ryu. (CNU, Korea). 8/30/2012. 1. ICM Theory and Computation: Ann Arbor. 8/30/2012. ICM Theory and Computation: Ann Arbor. 2. The Context. :. Several dozen (known) diffuse cluster “radio .