'Truth assignment' diaporamas de présentation

HARDNESS OF APPROXIMATIONS

HARDNESS OF APPROXIMATIONS. Gap Introducing Reduction. For simplicity we assume that we are always reducing from SAT(or any other NP- hard problem). Let ? be a minimization problem. A gap introducing reduction from SAT to ? comes with two parameters f and ?.

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The Satisfiability Problem

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The Satisfiability Problem

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The Satisfiability Problem

The Satisfiability Problem. Cook’s Theorem: An NP-Complete Problem Restricted SAT: CSAT, 3SAT. Boolean Expressions. Boolean, or propositional-logic expressions are built from variables and constants using the operators AND, OR, and NOT.

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Relational Logic Semantics

Computational Logic Lecture 6. Relational Logic Semantics. Michael Genesereth Autumn 2011. Propositional Logic Semantics. A Propositional logic interpretation is an association between the propositional constants in a propositional language and the truth values T or F.

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10.3 - Restricted Satisfiability (SAT) Problem

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Quantum Multi-Prover Interactive Proofs with Communicating Provers QIP-2009

Quantum Multi-Prover Interactive Proofs with Communicating Provers QIP-2009. Michael Ben-Or Avinatan Hassidim Haran Pilpel. An imaginary scenario. You receive a paper for refereeing The proof is messy The deadline is How can you tell if the paper is correct?. Today. tomorrow.

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Quantum Multi-Prover Interactive Proofs with Communicating Provers QIP-2009

Quantum Multi-Prover Interactive Proofs with Communicating Provers QIP-2009. Michael Ben-Or Avinatan Hassidim Haran Pilpel. An imaginary scenario. You receive a paper for refereeing The proof is messy The deadline is How can you tell if the paper is correct?. Today. tomorrow.

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CS21 Decidability and Tractability

CS21 Decidability and Tractability. Lecture 22 March 1, 2019. Outline. NP-complete problems : Subset Sum NP-complete problems: NAE-3-SAT, max cut The complexity class coNP The complexity class coNP NP. Subset Sum. A language (decision problem):

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CS21 Decidability and Tractability

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NP-completeness

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Randomzied Unique k-SAT

Randomzied Unique k-SAT. R. Paturi, P. Pudlak, M.E. Saks and F. Zane An Improved Exponential-time Algorithm for k-SAT Journal of the ACM, Vol 52, No. 3, pp. 337-364, May 2005 Fenghui Zhang 2006, 11, 2. Introduction. Unique k-SAT

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Discrete Structures CS 280

Discrete Structures CS 280. Example application of probability: MAX 3-SAT. MAX 3-SAT. Consider a propositional logical formula on N Boolean variables in conjunctive normal form (CNF), i.e., a conjunction (logical AND) of disjunctions (logical OR). Example:

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[110-] [10-0] [1-00] [00-0] [11-0]

Can you find a truth assignment that satisfies all clauses?. pqrs. p=1 q=0 r= s=. [110-] [10-0] [1-00] [00-0] [11-0]. 1 0. Can you find a truth assignment that satisfies all clauses?. pqrs. p= q=1 r=1 s=0. [001-] [01-0] [10-0] [0-00] [110-] [1-00]. 1 1 0.

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Giorgi Japaridze Theory of Computability

Giorgi Japaridze Theory of Computability. Space Complexity. Section 8.0. 8.0.a. Giorgi Japaridze Theory of Computability. Space complexity defined. Definition 8.1 Let M be a deterministic Turing machine that halts on

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