MARC details
| 000 -LEADER |
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| fixed length control field |
02886nam a2200373 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
CR9781108242066 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240916201308.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
170102s2019||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781108242066 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9781108416849 (hardback) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
UkCbUP |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA9.54 |
| Item number |
.K72 2019 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.3/6 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Krajíček, Jan, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Proof complexity / |
| Statement of responsibility, etc. |
Jan Krajíček. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Cambridge : |
| Name of producer, publisher, distributor, manufacturer |
Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2019. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xiv, 516 pages) : |
| Other physical details |
digital, PDF file(s). |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Encyclopedia of mathematics and its applications ; |
| Volume/sequential designation |
170 |
| 500 ## - GENERAL NOTE |
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| General note |
Title from publisher's bibliographic system (viewed on 22 Mar 2019). |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Concepts and problems -- Frege systems -- Sequent calculus -- Quantifed propositional calculus -- Resolution -- Algebraic and geometric proof systems -- Further proof systems -- Basic example of the correspondence -- Two worlds of bounded arithmetic -- Up to EF via the <...> translation -- Examples of upper bounds and p-simulations -- Beyond EF via the || ... || translation -- R and R-like proof systems -- LKD+1/2 and combinatorial restrictions -- Fd and logical restrictions -- Algebraic and geometric proof systems -- Feasible interpolation: a framework -- Feasible interpolation: applications -- Hard tautologies -- Model theory and lower bounds -- Optimality -- The nature of proof complexity. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Proof theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Computational complexity. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Print version: |
| International Standard Book Number |
9781108416849 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Encyclopedia of mathematics and its applications ; |
| Volume/sequential designation |
170. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1017/9781108242066">https://doi.org/10.1017/9781108242066</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
eBooks |
