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Title Efficient checking of polynomials and proofs and the hardness of approximation problems / Madhu Sudan
Published Berlin ; New York : SpringerVerlag, [1995]
©1995

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Description 1 online resource (xiv, 87 pages)
Series Lecture notes in computer science ; 1001
Lecture notes in computer science ; 1001.
Contents 1. Introduction -- 2. On the resilience of polynomials -- 3. Low-degree tests -- 4. Transparent proofs and the class PCP -- 5. Hardness of approximations -- 6. Conclusions -- A. The Berlekamp Welch decoder -- B. Composing proof systems -- C.A characterization of NP via polynomial sequences
Summary This work is a fascinating piece of research in computer science: it is built on and combines deep theoretical results from various areas and, at the same time, takes into account applications to hard problems in several fields. The author provides important new foundational insights and essentially advances applicable techniques in such different areas as computational complexity, efficient (randomized) checking of proofs, programs and polynomials, approximation algorithms, NP-complete optimization, and error-detection and error-correction algorithms in coding theory
Notes Based on the author's Ph. D. thesis, University of California, Berkeley, 1993
Bibliography Includes bibliographical references (pages 73-78) and index
Notes Print version record
Subject NP-complete problems.
Computational complexity.
Automatic theorem proving.
Automatic theorem proving
Computational complexity
NP-complete problems
Polynomialzeitalgorithmus
Komplexitätsklasse
Beweis
Optimierungsproblem
NP-vollständiges Problem
Approximation
Complexité de calcul.
Théorèmes -- Démonstration automatique.
Form Electronic book
Author Sudan, Madhu.
ISBN 9783540484851
354048485X