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$1 million for solving P vs NP
One of the Prize Problems named by the Clay Mathematics Institute of Cambridge, Massachusetts (CMI).
http://www.claymath.org/millennium/P_vs_NP/
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Complexity Theory
Two set of lecture notes by Prof. Oded Goldreich, Weizmann Institute.
http://www.wisdom.weizmann.ac.il/~oded/cc.html
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Challenging Benchmarks for SAT and CSP
Includes related links, references and a summary of the results for the SAT benchmarks used in SAT Competition 2004.
http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/benchmarks.htm
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SATLIB - The Satisfiability Library
A collection of benchmark problems, solvers, and tools. Provides a uniform test-bed for SAT solvers as well as a site for collecting SAT problem instances, algorithms, and empirical characterisations of the algorithms' performance.
http://www.satlib.org/
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ECCC - Electronic Colloquium on Computational Complexity
A forum for the rapid and widespread interchange of ideas, techniques, and research in computational complexity. Research reports, surveys and books; meetings, discussions and web resources.
http://eccc.hpi-web.de/
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Lecture notes on Complexity
Collection of lecture notes by Prof. Eric Allender, Rutgers University.
http://www.cs.rutgers.edu/~allender/lecture.notes/
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IBM Research: Algorithms & Theory
An overview of computational models and methods and how they relate to complexity, with links to selected papers.
http://domino.research.ibm.com/comm/research.nsf/pages/r.algorithms.html
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Efficient algorithms and intractable problems
Course taught by Christos Papadimitriou and Umesh Vazirani at the University of California at Berkeley.
http://www-inst.eecs.berkeley.edu/~cs170/fa06/
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Theory of Computation, Fall 2006
Course 6.045J/18.400J at MIT OpenCourseWare, emphasizing computability and computational complexity theory.
http://ocw.mit.edu/OcwWeb/Mathematics/18-404JFall-2006/CourseHome/
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Automata, Computability, and Complexity, Spring 2005
Course 6.045J / 18.400J at MIT OpenCourseWare with introduction to basic mathematical models of computation, Turing machines, Church's Thesis, time complexity and NP-completeness.
http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-Science/6-045JSpring-2005/CourseHome/index.htm
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