Research Catalog

Efficient checking of polynomials and proofs and the hardness of approximation problems

Title
Efficient checking of polynomials and proofs and the hardness of approximation problems / Madhu Sudan.
Author
Sudan, Madhu.
Publication
Berlin ; New York : SpringerVerlag, ©1995.

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TextUse in library QA267 .S83 1995Off-site

Details

Description
xiv, 87 pages; 24 cm
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.
Series Statement
Lecture notes in computer science ; 1001
Uniform Title
Lecture notes in computer science ; 1001.
Subject
  • NP-complete problems
  • Computational complexity
  • Automatic theorem proving
  • Automatic theorem proving
  • Computational complexity
  • NP-complete problems
  • Approximation
  • Beweis
  • Komplexität
  • Komplexitätsklasse
  • NP-vollständiges Problem
  • Optimierungsproblem
  • Polynomapproximation
  • Polynomialzeitalgorithmus
  • Complexité de calcul
  • Théorèmes > Démonstration automatique
Genre/Form
  • dissertations.
  • Academic theses
  • Academic theses.
  • Thèses et écrits académiques.
Note
  • Based on the author's Ph. D. thesis, University of California, Berkeley, 1993.
Bibliography (note)
  • Includes bibliographical references (p. [73]-78) and index.
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.
ISBN
  • 3540606157
  • 9783540606154
LCCN
95050358
OCLC
  • ocm33971740
  • 33971740
  • SCSB-9187349
Owning Institutions
Princeton University Library