'Satisfying assignment' diaporamas de présentation

15-853:Algorithms in the Real World

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15-853:Algorithms in the Real World

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CS151 Complexity Theory

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15-853:Algorithms in the Real World

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CS151 Complexity Theory

CS151 Complexity Theory. Lecture 7 April 23, 2013. Outline. 3 examples of the power of randomness communication complexity polynomial identity testing complexity of finding unique solutions randomized complexity classes. 1. Communication complexity. two parties: Alice and Bob

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Satisfiability

Satisfiability. Introduction to Artificial Intelligence COS302 Michael L. Littman Fall 2001. Administration. Questions?. Types of Logics. Logic historically a hot topic in AI. Propositional logic: Boolean variables (simple) First-order logic: more advanced types, objects (expressive)

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GRASP-an efficient SAT solver

GRASP-an efficient SAT solver. Pankaj Chauhan. What is SAT?. Given a propositional formula in CNF, find an assignment to boolean variables that makes the formula true! E.g. ? 1 = (x 2 ? x 3 ) ? 2 = ( ? x 1 ? ?x 4 ) ? 3 = ( ? x 2 ? x 4 ) A = {x 1 =0, x 2 =1, x 3 =0, x 4 =1}.

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CSCI 3130: Formal languages and automata theory

Fall 2011. The Chinese University of Hong Kong. CSCI 3130: Formal languages and automata theory. More on NP-completeness. Andrej Bogdanov http://www.cse.cuhk.edu.hk/~andrejb/csc3130. NP problems. 1. 1. 1. 2. 2. 2. 3. 3. 3. 4. 4. 4. clique. independent set. vertex cover.

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Interactive Configuration

Interactive Configuration. A SURVEY ON SOLVING INTERACTIVE CONFIGURATION PROBLEMS. What is configuration? (1). When: recognized as topics of research since late 1980s

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Computability and Complexity

Computability and Complexity. 28-1. More Probabilistic Algorithms. Computability and Complexity Andrei Bulatov. Computability and Complexity. Polynomial Identity. Instance: Two polynomials P and G in variables Question: Is P identically equal to G ?. 28-2.

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DPLL example

a. DPLL example. Legend. false. C1:(a ? b) C2:( ? a ? ? b) C3:(a ? ? c) C4:(c ? d ? e) C5:(d ? ? e) C6:( ? d ? ? f) C7:(f ? e) C8:( ? f ? ? e). true. a =false by branching. a =false by pure symbol. a. a. a =true by an unit clause. a. e. d. b. c.

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