PPT-C omputational Complexity Theory

Lecture 1 Intro Turing machines Class P and NP Indian Institute of Science About the course Computational complexity attempts to classify computational problems. Defining sustainable development. Sustainability : Defining sustainable development in broader terms. Sustainability Science: Criticisms of current approaches. Complexity and complex adaptive systems. 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 . :: . Dr . W. ale Fawehinmi . . Centre . for Public Policy Alternatives (CPPA. ), Lagos June . 18. th. 2014. . Profile: Dr Fawehinmi . BDS. (University of Lagos, Nigeria; 1983). MBA. . (University of Leicester, UK; 2010). How complexity permits ethnic nationalists and multiculturalists to rub along together. Eric Kaufmann, Birkbeck College, University of London. e.kaufmann@bbk.ac.uk. The Communitarian Challenge. Starting point is Rawls' . 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. 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. 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 . Lecture 5:. . Class co-NP and EXP;. . . Diagonalization. . . Indian Institute of Science. Recap: Alternate definition of NP. Definition.. An NTM . M. . accepts. a string . Lecture 9:. Read once certificates;. . NL = co-NL. . . Indian Institute of Science. Recap: PSPACE-completeness. Recall, to define completeness of a complexity class, we need an appropriate notion of a . Lecture 7:. . Relativization. (contd.);. . Space complexity. . . Indian Institute of Science. Recap: Limits of . diagonalization. Like in the proof of . P ≠ EXP. , can we use . 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. June 1, 2013. Mark Braverman. Princeton University. a tutorial. Part I: Information theory. Information theory, in its modern format was introduced in the 1940s to study the problem of transmitting data over physical channels. . or email Marjorieuviccax0000x0000Complexity Science in Briefx0000x0000 August 2012ReferencesBenhamHutchins M Clancy T 2010 Social networks as embedded complex adaptive systemsJONA 409 352356Dekker