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The Resource Bounded arithmetic, propositional logic, and complexity theory, Jan Krajicek

Bounded arithmetic, propositional logic, and complexity theory, Jan Krajicek

Work
Publication
Extent
xiv, 343 pages
Contents
  • 1. Introduction
  • 2. Preliminaries
  • 3. Basic complexity theory
  • 4. Basic propositional logic
  • 5. Basic bounded arithmetic
  • 6. Definability of computations
  • 7. Witnessing theorems
  • 8. Definability and witnessing in second order theories
  • 9. Translations of arithmetic formulas
  • 10. Finite axiomatizability problem
  • 11. Direct independence proofs
  • 12. Bounds for constant-depth Frege systems
  • 13. Bounds for Frege and extended Frege systems
  • 14. Hard tautologies and optimal proof systems
  • 15. Strength of bounded arithmetic
Isbn
9780521452052
Instance
Label
Bounded arithmetic, propositional logic, and complexity theory
Title
Bounded arithmetic, propositional logic, and complexity theory
Statement of responsibility
Jan Krajicek
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Krajíček, Jan
Index
index present
LC call number
QA9.56
LC item number
.K73 1995
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Constructive mathematics
  • Proposition (Logic)
  • Computational complexity
  • complexité calcul
  • logique
  • calcul propositionnel
  • théorie complexité
  • Mathématiques constructives
  • Proposition (Logique)
  • Complexité de calcul (Informatique)
  • Arithmétique
  • Computational complexity
  • Constructive mathematics
  • Proposition (Logic)
  • Logica
  • Constructieve wiskunde
  • Propositielogica
  • Fundamentele informatica
  • Mathématiques constructives
  • Proposition (logique)
  • Complexité de calcul (informatique)
Label
Bounded arithmetic, propositional logic, and complexity theory, Jan Krajicek
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 327-334) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries -- 3. Basic complexity theory -- 4. Basic propositional logic -- 5. Basic bounded arithmetic -- 6. Definability of computations -- 7. Witnessing theorems -- 8. Definability and witnessing in second order theories -- 9. Translations of arithmetic formulas -- 10. Finite axiomatizability problem -- 11. Direct independence proofs -- 12. Bounds for constant-depth Frege systems -- 13. Bounds for Frege and extended Frege systems -- 14. Hard tautologies and optimal proof systems -- 15. Strength of bounded arithmetic
Dimensions
24 cm.
Extent
xiv, 343 pages
Isbn
9780521452052
Lccn
94047054
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)31814801
  • (OCoLC)ocm31814801
Label
Bounded arithmetic, propositional logic, and complexity theory, Jan Krajicek
Publication
Bibliography note
Includes bibliographical references (p. 327-334) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries -- 3. Basic complexity theory -- 4. Basic propositional logic -- 5. Basic bounded arithmetic -- 6. Definability of computations -- 7. Witnessing theorems -- 8. Definability and witnessing in second order theories -- 9. Translations of arithmetic formulas -- 10. Finite axiomatizability problem -- 11. Direct independence proofs -- 12. Bounds for constant-depth Frege systems -- 13. Bounds for Frege and extended Frege systems -- 14. Hard tautologies and optimal proof systems -- 15. Strength of bounded arithmetic
Dimensions
24 cm.
Extent
xiv, 343 pages
Isbn
9780521452052
Lccn
94047054
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)31814801
  • (OCoLC)ocm31814801

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