Studies in Weak Arithmetics: Volume 1 (CSLI Lecture Notes, Band 196) - Softcover

 
9781575866024: Studies in Weak Arithmetics: Volume 1 (CSLI Lecture Notes, Band 196)
Softcover
ISBN 10: 1575866021 ISBN 13: 9781575866024
Verlag: CTR FOR STUDY OF LANG & INFO, 2009

Inhaltsangabe

The field of weak arithmetics is an application of logical methods to number theory that was developed by mathematicians, philosophers, and theoretical computer scientists. In this volume, after a general presentation of weak arithmetics, the following topics are studied: the properties of integers of a real closed field equipped with exponentiation; conservation results for the induction schema restricted to first-order formulas with a finite number of alternations of quantifiers; a survey on a class of tools called pebble games; the fact that the reals e and pi have approximations expressed by first-order formulas using bounded quantifiers; properties of infinite pictures depending on the universe of sets used; a language that simulates in a sufficiently nice manner all algorithms of a certain restricted class; the logical complexity of the axiom of infinity in some variants of set theory without the axiom of foundation; and the complexity to determine whether a trace is included in another one.

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Über die Autorinnen und Autoren

Patrick Cégielski is professor at Université Paris-Est Créteil-IUT de Sénart-Fontainebleau.



Patrick Cegielski, Professor at University Paris-Est Cretell-IUT de Senart Fontainebleau, is the coordinator of a European consortium of teams working on weak arithmetics, mainly from armenia, belgium, Czech Republic, Federation of Russia, France, Great Britain, Greece, Israel, Italy, Poland, Portugal, Slovakia, Spain, Tunisia, and Ukraine.

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Verlag
CTR FOR STUDY OF LANG & INFO
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
1575866021
ISBN 13 
9781575866024
Einband
Taschenbuch
Anzahl der Seiten
221
Herausgeber
Cegielski Patrick
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781575869537: Studies in Weak Arithmetics (3): Volume 3 (CSLI Lecture Notes, 217, Band 3)

Vorgestellte Ausgabe

ISBN 10:  1575869535 ISBN 13:  9781575869537
Verlag: Centre for the Study of Language..., 2017
Softcover