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Abstract canonical presentations

Identifieur interne : 000434 ( PascalFrancis/Corpus ); précédent : 000433; suivant : 000435

Abstract canonical presentations

Auteurs : Nachum Dershowitz ; Claude Kirchner

Source :

RBID : Pascal:06-0371738

Descripteurs français

English descriptors

Abstract

Solving goals-like proving properties, deciding word problems or resolving constraints-is much easier with some presentations of the underlying theory than with others. Typically, what have been called "completion processes", in particular in the study of equational logic, involve finding appropriate presentations of a given theory to more easily solve a given class of problems. We provide a general proof-theoretic setting that relies directly on the fundamental concept of "good", that is, normal-form, proofs, itself defined using well-founded orderings on proof objects. This foundational framework allows for abstract definitions of canonical presentations and very general characterizations of saturation and redundancy criteria.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0304-3975
A02 01      @0 TCSCDI
A03   1    @0 Theor. comput. sci.
A05       @2 357
A06       @2 1-3
A08 01  1  ENG  @1 Abstract canonical presentations
A09 01  1  ENG  @1 Clifford lectures and the mathematical foundations of programmming semantics, New Orleans, March 20-26, 2002
A11 01  1    @1 DERSHOWITZ (Nachum)
A11 02  1    @1 KIRCHNER (Claude)
A12 01  1    @1 ARTEMOV (Sergei) @9 ed.
A12 02  1    @1 MISLOVE (Michael) @9 ed.
A14 01      @1 School of Computer Science, Tel Aviv University, P.O. Box 39040, RamatAviv @2 Tel Aviv 69978 @3 ISR @Z 1 aut.
A14 02      @1 JNRJA & LORIA, 615, rue du Jardin Botanique, B.P 101 @2 54602 WIers-les-Nancy @3 FRA @Z 2 aut.
A15 01      @1 Computer Science, CUNY Graduate Center, 365 Fifth Avenue @2 New York, NY 10016 @3 USA @Z 1 aut.
A15 02      @1 Department of Mathematics, Tulane University @2 New Orleans, LA 70118 @3 USA @Z 2 aut.
A20       @1 53-69
A21       @1 2006
A23 01      @0 ENG
A43 01      @1 INIST @2 17243 @5 354000138873780040
A44       @0 0000 @1 © 2006 INIST-CNRS. All rights reserved.
A45       @0 46 ref.
A47 01  1    @0 06-0371738
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Theoretical computer science
A66 01      @0 NLD
C01 01    ENG  @0 Solving goals-like proving properties, deciding word problems or resolving constraints-is much easier with some presentations of the underlying theory than with others. Typically, what have been called "completion processes", in particular in the study of equational logic, involve finding appropriate presentations of a given theory to more easily solve a given class of problems. We provide a general proof-theoretic setting that relies directly on the fundamental concept of "good", that is, normal-form, proofs, itself defined using well-founded orderings on proof objects. This foundational framework allows for abstract definitions of canonical presentations and very general characterizations of saturation and redundancy criteria.
C02 01  X    @0 001D02B07B
C02 02  X    @0 001A02A01B
C02 03  X    @0 001A02A01F
C03 01  X  FRE  @0 Complétion @5 20
C03 01  X  ENG  @0 Completion @5 20
C03 01  X  SPA  @0 Compleción @5 20
C03 02  X  FRE  @0 Forme normale @5 22
C03 02  X  ENG  @0 Normal form @5 22
C03 02  X  SPA  @0 Forma normal @5 22
C03 03  X  FRE  @0 Saturation @5 27
C03 03  X  ENG  @0 Saturation @5 27
C03 03  X  SPA  @0 Saturación @5 27
C03 04  X  FRE  @0 Redondance @5 28
C03 04  X  ENG  @0 Redundancy @5 28
C03 04  X  SPA  @0 Redundancia @5 28
C03 05  X  FRE  @0 Réécriture @5 29
C03 05  X  ENG  @0 Rewriting @5 29
C03 05  X  SPA  @0 Reescritura @5 29
C03 06  X  FRE  @0 Informatique théorique @5 30
C03 06  X  ENG  @0 Computer theory @5 30
C03 06  X  SPA  @0 Informática teórica @5 30
C03 07  X  FRE  @0 Problème mot @4 INC @5 70
C03 08  X  FRE  @0 Logique équationnelle @4 CD @5 96
C03 08  X  ENG  @0 Equational logic @4 CD @5 96
C03 09  X  FRE  @0 Réécriture canonique @4 CD @5 97
C03 09  X  ENG  @0 Canonical rewriting @4 CD @5 97
C03 10  X  FRE  @0 Canonicité @4 CD @5 98
C03 10  X  ENG  @0 Canonicity @4 CD @5 98
C03 11  X  FRE  @0 Relation ordre preuve @4 CD @5 99
C03 11  X  ENG  @0 Proof ordering @4 CD @5 99
N21       @1 247
pR  
A30 01  1  ENG  @1 2002 Clifford Lectures @3 New Orleans, LA USA @4 2002-03-20
A30 02  1  ENG  @1 Workshop on the Mathematical Foundations of Programming Semantics @2 18 @3 New Orleans, LA USA @4 2002-03-20

Format Inist (serveur)

NO : PASCAL 06-0371738 INIST
ET : Abstract canonical presentations
AU : DERSHOWITZ (Nachum); KIRCHNER (Claude); ARTEMOV (Sergei); MISLOVE (Michael)
AF : School of Computer Science, Tel Aviv University, P.O. Box 39040, RamatAviv/Tel Aviv 69978/Israël (1 aut.); JNRJA & LORIA, 615, rue du Jardin Botanique, B.P 101/54602 WIers-les-Nancy/France (2 aut.); Computer Science, CUNY Graduate Center, 365 Fifth Avenue/New York, NY 10016/Etats-Unis (1 aut.); Department of Mathematics, Tulane University/New Orleans, LA 70118/Etats-Unis (2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Theoretical computer science; ISSN 0304-3975; Coden TCSCDI; Pays-Bas; Da. 2006; Vol. 357; No. 1-3; Pp. 53-69; Bibl. 46 ref.
LA : Anglais
EA : Solving goals-like proving properties, deciding word problems or resolving constraints-is much easier with some presentations of the underlying theory than with others. Typically, what have been called "completion processes", in particular in the study of equational logic, involve finding appropriate presentations of a given theory to more easily solve a given class of problems. We provide a general proof-theoretic setting that relies directly on the fundamental concept of "good", that is, normal-form, proofs, itself defined using well-founded orderings on proof objects. This foundational framework allows for abstract definitions of canonical presentations and very general characterizations of saturation and redundancy criteria.
CC : 001D02B07B; 001A02A01B; 001A02A01F
FD : Complétion; Forme normale; Saturation; Redondance; Réécriture; Informatique théorique; Problème mot; Logique équationnelle; Réécriture canonique; Canonicité; Relation ordre preuve
ED : Completion; Normal form; Saturation; Redundancy; Rewriting; Computer theory; Equational logic; Canonical rewriting; Canonicity; Proof ordering
SD : Compleción; Forma normal; Saturación; Redundancia; Reescritura; Informática teórica
LO : INIST-17243.354000138873780040
ID : 06-0371738

Links to Exploration step

Pascal:06-0371738

Le document en format XML

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