PPT-C omputational Complexity Theory

Lecture 5 Class coNP and EXP Diagonalization Indian Institute of Science Recap Alternate definition of NP Definition An NTM M accepts a string . Shantanu. . Dutt. ECE Dept.. UIC. Time Complexity. An algorithm time complexity is a function T(n) of problem size n that represents how much time the algorithm will take to complete its task.. Note that there could be more than one problem size parameter n, in which case we can denote the time complexity function as T(S), where S is the set of size parameters. E.g., for the shortest path problem on a graph G, we have 2 size parameters, n the # of vertices and e the # of edges (thus T(S) = T(. English Language Arts Common Core State Standards. Illinois State Board of Education . English Language Arts Content Specialists. Hosted by Erik Iwersen, June, 2012. . Text Complexity. . “. The Common Core Standards hinge on students encountering appropriately complex texts at each grade level in order to develop the mature language skills and the conceptual knowledge they need for success in school and life. and . Hierarchy. Concept of Complexity. “whole is more than the sum of its parts”. Holism. new properties not found in subsystems. “mechanistic explanations of emergence rejected”. Weaker view of emergence. April 26, 2013. Mark Braverman. Princeton University. Based on joint work with Ankit . Garg. , Denis . Pankratov. , and . Omri. Weinstein. Overview: information complexity. Information complexity . :: . Why don’t languages evolve toward efficiency?. “As they evolve, things become more efficient.”. Efficient operations, tools, methods, etc. should drive out those that are difficult and costly.. Amanda Jackson. Fronde Systems Group Ltd. Session Code: ARC206. Presentation Outline (hidden slide):. Title: Managing Complexity in a Software plus Services World. Technical Level: All levels. Intended Audience: Developers, Enterprise Architects. Lecture 1: . Intro; Turing machines; . Class P and NP . . . Indian Institute of Science. About the course. Computational complexity attempts . to classify computational . problems. Collaborators: G. . Chiarotti. 1,2. , G. . . Cimini. 1,2, . M. Cristelli. 1,2. , R. . Di . Clemente. 1,2. ,. A. Gabrielli. 1,2,3. ,E. Pugliese. 1,2. , F. Saracco. 1,2. , F. . Sylos. Labini. 1,4. , T. Squartini. How Understanding Complexity Promotes Simplicity. Why is writing software hard?. ^. great. http://www.infoq.com/presentations/Simple-Made-Easy. Our duty as software architects is to understand and manage complexity. Theophilus Benson (tbenson@cs.wisc.edu). Aditya Akella (akella@cs.wisc.edu). David A Maltz (dmaltz@microsoft.com). Enterprise Networks. Intricate logical and physical topologies. Diverse network devices. Lecture 2: . Reductions. , . NP-completeness, . Cook-Levin theorem . . . Indian Institute of Science. Recap: Class P and FP. A language . L . ⊆ {0,1}* . is in . P . if. There’s a . yesterday. John Lennon and Paul McCartney. Performed . by David . Garrett . with . his band. https://. www.youtube.com. /. watch?v. =XJkjW62a_34. Yesterday . Limited range of notes. Simple phrasing. Single Tone ———————- . Miles A. Zachary. Authors. Steve Maguire- McGill University. Assistant Professor of Strategy and Organization. Ph.D. at H.E.C.-Montreal (2000). Bill . McKelvey. - UCLA. Professor of Strategic Organizing and Complexity Science. Toniann. . Pitassi. University of Toronto. 2-Party Communication Complexity. [Yao]. 2-party communication: . each party has a dataset. . Goal . is to compute a function f(D. A. ,D. B. ). m. 1. m. 2.