InforLorV4, PascalFrancis, Corpus, bibRecord, 000665

Stratified coherence spaces: a denotational semantics for light linear logic

Identifieur interne : 000665 ( PascalFrancis/Corpus ); précédent : 000664; suivant : 000666

Stratified coherence spaces: a denotational semantics for light linear logic

Auteurs : Patrick Baillot

Source :

Theoretical computer science [ 0304-3975 ] ; 2004.

RBID : Pascal:04-0318308

Descripteurs français

Pascal (Inist)
- Sémantique dénotationnelle, Logique linéaire, Preuve programme, Informatique théorique, Fonction Kalmer.

English descriptors

KwdEn :
- Computer theory, Denotational semantics, Kalmer function, Linear logic, Program proof.

Abstract

Light linear logic (LLL) was introduced by Girard as a logical system capturing the class of polytime functions within the proofs-as-programs approach. In the present paper, we undertake a semantical analysis of LLL: a variant of coherence spaces is introduced and we prove that it is a sound model for this system, but not for usual linear logic. A simpler version of the model yields a sound semantics of Elementary linear logic, which is the analog of LLL for the class of Kalmar elementary functions. We illustrate our semantical method by showing how various principles fail in these models.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

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A05				`@2 318`
A06				`@2 1-2`
A08	`01`	`1`	`ENG`	`@1 Stratified coherence spaces: a denotational semantics for light linear logic`
A09	`01`	`1`	`ENG`	`@1 Implicit computational complexity`
A11	`01`	`1`		`@1 BAILLOT (Patrick)`
A12	`01`	`1`		`@1 MARION (Jean-Yves) @9 ed.`
A14	`01`			`@1 Laboratoire d'Informatique de Paris-Nord (UMR 7030 CNRS), Institut Galilée, Université Paris XIII, 99 av. J.-B. Clément @2 Villetaneuse 93430 @3 FRA @Z 1 aut.`
A15	`01`			`@1 LORIA-INPL, Ecole Nationale Superieure des Mines de Nancy, BP 239 @2 Vandoeuvre-les-Nancy 54506 @3 FRA @Z 1 aut.`
A20				`@1 29-55`
A21				`@1 2004`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 17243 @5 354000110408220020`
A44				`@0 0000 @1 © 2004 INIST-CNRS. All rights reserved.`
A45				`@0 17 ref.`
A47	`01`	`1`		`@0 04-0318308`
A60				`@1 P @2 C`
A61				`@0 A`
A64	`01`	`1`		`@0 Theoretical computer science`
A66	`01`			`@0 NLD`
C01	`01`		`ENG`	@0 Light linear logic (LLL) was introduced by Girard as a logical system capturing the class of polytime functions within the proofs-as-programs approach. In the present paper, we undertake a semantical analysis of LLL: a variant of coherence spaces is introduced and we prove that it is a sound model for this system, but not for usual linear logic. A simpler version of the model yields a sound semantics of Elementary linear logic, which is the analog of LLL for the class of Kalmar elementary functions. We illustrate our semantical method by showing how various principles fail in these models.
C02	`01`	`X`		`@0 001A02A01B`
C03	`01`	`X`	`FRE`	`@0 Sémantique dénotationnelle @5 18`
C03	`01`	`X`	`ENG`	`@0 Denotational semantics @5 18`
C03	`01`	`X`	`SPA`	`@0 Semántica denotacional @5 18`
C03	`02`	`X`	`FRE`	`@0 Logique linéaire @5 19`
C03	`02`	`X`	`ENG`	`@0 Linear logic @5 19`
C03	`02`	`X`	`SPA`	`@0 Lógica lineal @5 19`
C03	`03`	`X`	`FRE`	`@0 Preuve programme @5 20`
C03	`03`	`X`	`ENG`	`@0 Program proof @5 20`
C03	`03`	`X`	`SPA`	`@0 Prueba programa @5 20`
C03	`04`	`X`	`FRE`	`@0 Informatique théorique @5 21`
C03	`04`	`X`	`ENG`	`@0 Computer theory @5 21`
C03	`04`	`X`	`SPA`	`@0 Informática teórica @5 21`
C03	`05`	`X`	`FRE`	`@0 Fonction Kalmer @4 CD @5 96`
C03	`05`	`X`	`ENG`	`@0 Kalmer function @4 CD @5 96`
N21				`@1 187`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

A30	`01`	`1`	`ENG`	`@1 ICC Workshop @3 Santa Barbara, CA USA @4 2000`

Format Inist (serveur)

NO :	PASCAL 04-0318308 INIST
ET :	Stratified coherence spaces: a denotational semantics for light linear logic
AU :	BAILLOT (Patrick); MARION (Jean-Yves)
AF :	Laboratoire d'Informatique de Paris-Nord (UMR 7030 CNRS), Institut Galilée, Université Paris XIII, 99 av. J.-B. Clément/Villetaneuse 93430/France (1 aut.); LORIA-INPL, Ecole Nationale Superieure des Mines de Nancy, BP 239/Vandoeuvre-les-Nancy 54506/France (1 aut.)
DT :	Publication en série; Congrès; Niveau analytique
SO :	Theoretical computer science; ISSN 0304-3975; Coden TCSCDI; Pays-Bas; Da. 2004; Vol. 318; No. 1-2; Pp. 29-55; Bibl. 17 ref.
LA :	Anglais
EA :	Light linear logic (LLL) was introduced by Girard as a logical system capturing the class of polytime functions within the proofs-as-programs approach. In the present paper, we undertake a semantical analysis of LLL: a variant of coherence spaces is introduced and we prove that it is a sound model for this system, but not for usual linear logic. A simpler version of the model yields a sound semantics of Elementary linear logic, which is the analog of LLL for the class of Kalmar elementary functions. We illustrate our semantical method by showing how various principles fail in these models.
CC :	001A02A01B
FD :	Sémantique dénotationnelle; Logique linéaire; Preuve programme; Informatique théorique; Fonction Kalmer
ED :	Denotational semantics; Linear logic; Program proof; Computer theory; Kalmer function
SD :	Semántica denotacional; Lógica lineal; Prueba programa; Informática teórica
LO :	INIST-17243.354000110408220020
ID :	04-0318308

Links to Exploration step

Pascal:04-0318308

Le document en format XML

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Stratified coherence spaces: a denotational semantics for light linear logic

Stratified coherence spaces: a denotational semantics for light linear logic

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri