WorldCat Identities

Krivine, J. L. (Jean Louis)

Overview
Works: 43 works in 221 publications in 6 languages and 2,603 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Author of introduction, Thesis advisor, Editor
Classifications: QA9, 164
Publication Timeline
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Most widely held works by J. L Krivine
Introduction to axiomatic set theory by J. L Krivine( Book )

44 editions published between 1969 and 1972 in 3 languages and held by 679 WorldCat member libraries worldwide

This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class of constructible sets, leads to G6del's result that the axiom of choice and the continuum hypothesis are consistent with the rest of set theory [1]I. The text thus constitutes an introduction to the results of P. Cohen concerning the independence of these axioms [2], and to many other relative consistency proofs obtained later by Cohen's methods. Chapters I and II introduce the axioms of set theory, and develop such parts of the theory as are indispensable for every relative consistency proof; the method of recursive definition on the ordinals being an import ant case in point. Although, more or less deliberately, no proofs have been omitted, the development here will be found to require of the reader a certain facility in naive set theory and in the axiomatic method, such e as should be achieved, for example, in first year graduate work (2 cycle de mathernatiques)
Elements of mathematical logic. (Model theory) by Georg Kreisel( Book )

32 editions published between 1957 and 2000 in 3 languages and held by 533 WorldCat member libraries worldwide

Provability, Computability and Reflection
Éléments de logique mathématique, théorie des modèles by Georg Kreisel( Book )

18 editions published between 1966 and 1967 in French and Undetermined and held by 254 WorldCat member libraries worldwide

Lambda-calculus, types and models by J. L Krivine( Book )

20 editions published between 1990 and 1993 in 3 languages and held by 247 WorldCat member libraries worldwide

Logique mathématique. cours et exercices corrigés by René Cori( Book )

14 editions published between 1993 and 2005 in French and held by 207 WorldCat member libraries worldwide

Théorie des ensembles by J. L Krivine( Book )

12 editions published between 1970 and 2007 in French and held by 158 WorldCat member libraries worldwide

Modelltheorie; eine Einführung in die mathematische Logik und Grundlagentheorie by Georg Kreisel( Book )

15 editions published in 1972 in German and held by 123 WorldCat member libraries worldwide

Séminaire de géométrie des espaces de Banach, Paris VII (1982) by Séminaire de Géométrie des Espaces de Banach( Book )

13 editions published between 1982 and 1984 in 3 languages and held by 57 WorldCat member libraries worldwide

Séminaire de géométrie des espaces de Banach, Paris VII (1983) by Bernard Beauzamy( Book )

5 editions published in 1984 in 3 languages and held by 41 WorldCat member libraries worldwide

Interactive models of computation and program behavior by P.-L Curien( Book )

2 editions published in 2009 in English and held by 39 WorldCat member libraries worldwide

Sous-espaces de L¹ by Didier Dacunha-Castelle( Book )

6 editions published in 1975 in French and held by 12 WorldCat member libraries worldwide

Fonctions récursives, théorème de Gödel, théorie des ensembles, théorie des modèles by René Cori( Book )

3 editions published between 1993 and 2003 in French and held by 8 WorldCat member libraries worldwide

Aksimatička teorija skupova by J. L Krivine( Book )

1 edition published in 1978 in Croatian and held by 4 WorldCat member libraries worldwide

Sous-espaces et cônes convexes dans les espaces L [exposant] p by J. L Krivine( Book )

2 editions published in 1967 in French and held by 4 WorldCat member libraries worldwide

Séminaire de géométrie des espaces de Banach by Bernard Beauzamy( Book )

2 editions published between 1979 and 1983 in French and held by 3 WorldCat member libraries worldwide

Modèles standard et non standard de théorie des ensembles by Emmanuel Isambert( Book )

2 editions published in 1973 in French and held by 3 WorldCat member libraries worldwide

Relations entre les espaces : [application de l'Analyse non Standard à la Théorie des Espaces de Banach] by Abdellatif Abouhazim( Book )

1 edition published in 1985 in French and held by 3 WorldCat member libraries worldwide

Réseaux de preuve, types principaux et lambda-termes by Eric Duquesne( Book )

1 edition published in 1992 in French and held by 3 WorldCat member libraries worldwide

Dans la théorie de la démonstration, la logique intuitionniste (LI) de brouwer et la logique linéaire (LL) de Girard définissent des preuves constructives (ou calculables) des formules mathématiques. Grâce à l'isomorphisme entre l'ensemble des preuves intuitionnistes et l'ensemble des lambda-termes types (curry-howard) et grâce à l'isomorphisme entre le lambda-calcul (non type) et l'ensemble des fonctions calculables par machine de Turing (Turing, Kleene), LI fait du lambda-calcul un modèle de langage de programmation par preuve. Le contenu du chapitre 4 contribue à faire jouer à ll un rôle analogue. Le fragment de LL considéré est le fragment multiplicatif et exponentiel avec les polarités de Danos et Regnier. L'ensemble des preuves est une traduction du lambda-calcul. Les preuves sont représentées par des structures de preuve sans concept de boites; la construction d'un espace cohérent modèle du lambda calcul (ch. 0) et de l'ensemble des réseaux de preuve fournit cette nouvelle définition en termes de graphes (ch. 1). Les structures de preuve (sans coupures) sont classifiées (ch. 3). En particulier les réseaux de preuve sans coupures sont les structures de preuve qui vérifient un critère de correction analogue à celui de Girard pour le fragment multiplicatif de LL. ils correspondent aux lambda-termes normaux (ch. 4) et aux types principaux (ch. 5)
Sous-espaces de L puissance 1 by Didier Dacunha-Castelle( Book )

1 edition published in 1975 in French and held by 3 WorldCat member libraries worldwide

QUELQUES RESULTATS SUR LA TYPABILITE DANS LE SYSTEME F by SOPHIE MALECKI( Book )

1 edition published in 1992 in French and held by 2 WorldCat member libraries worldwide

LE SYSTEME F DE GIRARD EST UN LAMBDA-CALCUL TYPE QUI PERMET DE REPRESENTER TOUTES LES FONCTIONS PROUVABLEMENT TOTALES DANS L'ARITHMETIQUE DE PEANO DU SECOND ORDRE. TOUS LES TERMES TYPABLES DANS CE SYSTEME SONT FORTEMENT NORMALISABLES, MAIS IL EXISTE DES TERMES NORMALISABLES QUI NE SONT PAS TYPABLES. LE PROBLEME DE L'EXISTENCE D'UNE CARACTERISATION RECURSIVE DE L'ENSEMBLE DES LAMBDA-TERMES TYPABLES DANS CE SYSTEME EST TOUJOURS OUVERT. NOUS DEFINISSONS ICI UN ENSEMBLE DE LAMBDA-TERMES, SL, POUR LEQUEL LA TYPABILITE EST DECIDABLE. IL EST UN SOUS-ENSEMBLE D'UNE CLASSE S DE TERMES QUE NOUS APPELONS TERMES SIMPLES. LES CAUSES DE NON TYPABILITE ETANT LIEES A DES PROPRIETES DE NORMALISATION, NOUS DONNONS ALORS UNE CARACTERISATION SYNTAXIQUE DE NORMALISATION POUR CERTAINS SOUS-ENSEMBLES DE S. LES RESULTATS OBTENUS PRECEDEMMENT SONT GENERALISES ET PERMETTENT DE CONSTRUIRE DE NOUVEAUX EXEMPLES DE TERMES SIMPLES NORMALISABLES ET NON-TYPABLES
 
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Introduction to axiomatic set theory
Alternative Names
Jean-Louis Krivine Frans wiskundige

Jean-Louis Krivine fransk matematikar

Jean-Louis Krivine fransk matematiker

Jean-Louis Krivine französischer Mathematiker

Jean-Louis Krivine French mathematician

Jean-Louis Krivine mathématicien français

Krivine, J. L.

Krivine, Jean Louis

Languages
French (105)

English (66)

German (15)

Dutch (2)

Croatian (1)

Spanish (1)

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