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Realizability models for BLL-like languages

Identifieur interne : 000380 ( PascalFrancis/Curation ); précédent : 000379; suivant : 000381

Realizability models for BLL-like languages

Auteurs : M. Hofmann [Allemagne] ; P. J. Scott [Canada]

Source :

RBID : Pascal:04-0318320

Descripteurs français

English descriptors

Abstract

jjkWe give a realizability model of Girard-Scedrov-Scott's Bounded Linear Logic (BLL). This gives a new proof that all numerical functions representable in that system are polytime. Our analysis naturally justifies the design of the BLL syntax and suggests further extensions.
pA  
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A03   1    @0 Theor. comput. sci.
A05       @2 318
A06       @2 1-2
A08 01  1  ENG  @1 Realizability models for BLL-like languages
A09 01  1  ENG  @1 Implicit computational complexity
A11 01  1    @1 HOFMANN (M.)
A11 02  1    @1 SCOTT (P. J.)
A12 01  1    @1 MARION (Jean-Yves) @9 ed.
A14 01      @1 Institut für Informatik, Ludwig-Maximilians-Universität München, Oettingenstrasse 67 @2 80538, München @3 DEU @Z 1 aut.
A14 02      @1 Department of Mathematics & Statistics, University of Ottawa, 585 King Edward @2 Ottawa Ont., K1N6N5 @3 CAN @Z 2 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       @1 121-137
A21       @1 2004
A23 01      @0 ENG
A43 01      @1 INIST @2 17243 @5 354000110408220060
A44       @0 0000 @1 © 2004 INIST-CNRS. All rights reserved.
A45       @0 16 ref.
A47 01  1    @0 04-0318320
A60       @1 P @2 C
A61       @0 A
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C01 01    ENG  @0 jjkWe give a realizability model of Girard-Scedrov-Scott's Bounded Linear Logic (BLL). This gives a new proof that all numerical functions representable in that system are polytime. Our analysis naturally justifies the design of the BLL syntax and suggests further extensions.
C02 01  X    @0 001D02A08
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C03 01  3  FRE  @0 Théorie réalisation @5 18
C03 01  3  ENG  @0 Realization theory @5 18
C03 02  X  FRE  @0 Syntaxe @5 19
C03 02  X  ENG  @0 Syntax @5 19
C03 02  X  SPA  @0 Sintaxis @5 19
C03 03  X  FRE  @0 Informatique théorique @5 20
C03 03  X  ENG  @0 Computer theory @5 20
C03 03  X  SPA  @0 Informática teórica @5 20
C03 04  X  FRE  @0 05Bxx @4 INC @5 70
C03 05  X  FRE  @0 Logique linéaire bornée @4 CD @5 96
C03 05  X  ENG  @0 Bounded linear logic @4 CD @5 96
N21       @1 187
N44 01      @1 OTO
N82       @1 OTO
pR  
A30 01  1  ENG  @1 ICC Workshop @3 Santa Barbara, CA USA @4 2000

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