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Superposition with equivalence reasoning and delayed clause normal form transformation

Identifieur interne : 000700 ( PascalFrancis/Corpus ); précédent : 000699; suivant : 000701

Superposition with equivalence reasoning and delayed clause normal form transformation

Auteurs : Harald Ganzinger ; Jürgen Stuber

Source :

RBID : Pascal:04-0200068

Descripteurs français

English descriptors

Abstract

This paper describes a superposition calculus where quantifiers are eliminated lazily. Superposition and simplification inferences may employ equivalences that have arbitrary formulas at their smaller side. A closely related calculus is implemented in the Saturate system and has shown useful on many examples, in particular in set theory. The paper presents a completeness proof and reports on practical experience obtained with the Saturate system.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 2741
A08 01  1  ENG  @1 Superposition with equivalence reasoning and delayed clause normal form transformation
A09 01  1  ENG  @1 Automated deduction - CADE-19 : Miami Beach FL, 28 July - 2 August 2003
A11 01  1    @1 GANZINGER (Harald)
A11 02  1    @1 STUBER (Jürgen)
A12 01  1    @1 BAADER (Franz) @9 ed.
A14 01      @1 MPI für Informatik @2 66123 Saarbrücken @3 DEU @Z 1 aut.
A14 02      @1 LORIA École des Mines de Nancy 615 Rue du Jardin Botanique @2 54600 Villers-lès-Nancy @3 FRA @Z 2 aut.
A20       @1 335-349
A21       @1 2003
A23 01      @0 ENG
A26 01      @0 3-540-40559-3
A43 01      @1 INIST @2 16343 @5 354000117776390280
A44       @0 0000 @1 © 2004 INIST-CNRS. All rights reserved.
A45       @0 19 ref.
A47 01  1    @0 04-0200068
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
C01 01    ENG  @0 This paper describes a superposition calculus where quantifiers are eliminated lazily. Superposition and simplification inferences may employ equivalences that have arbitrary formulas at their smaller side. A closely related calculus is implemented in the Saturate system and has shown useful on many examples, in particular in set theory. The paper presents a completeness proof and reports on practical experience obtained with the Saturate system.
C02 01  X    @0 001D02B01
C02 02  X    @0 001D02A04
C03 01  X  FRE  @0 Démonstration automatique @5 01
C03 01  X  ENG  @0 Automatic proving @5 01
C03 01  X  SPA  @0 Demostración automática @5 01
C03 02  X  FRE  @0 Retard @5 02
C03 02  X  ENG  @0 Delay @5 02
C03 02  X  SPA  @0 Retraso @5 02
C03 03  X  FRE  @0 Forme normale @5 03
C03 03  X  ENG  @0 Normal form @5 03
C03 03  X  SPA  @0 Forma normal @5 03
C03 04  X  FRE  @0 Transformation @5 04
C03 04  X  ENG  @0 Transformation @5 04
C03 04  X  SPA  @0 Transformación @5 04
C03 05  X  FRE  @0 Inférence @5 05
C03 05  X  ENG  @0 Inference @5 05
C03 05  X  SPA  @0 Inferencia @5 05
C03 06  X  FRE  @0 Théorie ensemble @5 06
C03 06  X  ENG  @0 Set theory @5 06
C03 06  X  SPA  @0 Teoría conjunto @5 06
C03 07  X  FRE  @0 Superposition @5 11
C03 07  X  ENG  @0 Superposition @5 11
C03 07  X  SPA  @0 Superposición @5 11
C03 08  X  FRE  @0 Quantificateur @5 12
C03 08  X  ENG  @0 Quantifier @5 12
C03 08  X  SPA  @0 Cuantificador @5 12
C03 09  X  FRE  @0 Complétude @5 16
C03 09  X  ENG  @0 Completeness @5 16
C03 09  X  SPA  @0 Completitud @5 16
N21       @1 138
N82       @1 OTO
pR  
A30 01  1  ENG  @1 International conference on automated deduction @2 19 @3 Miami Beach FL USA @4 2003-07-28

Format Inist (serveur)

NO : PASCAL 04-0200068 INIST
ET : Superposition with equivalence reasoning and delayed clause normal form transformation
AU : GANZINGER (Harald); STUBER (Jürgen); BAADER (Franz)
AF : MPI für Informatik/66123 Saarbrücken/Allemagne (1 aut.); LORIA École des Mines de Nancy 615 Rue du Jardin Botanique/54600 Villers-lès-Nancy/France (2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2003; Vol. 2741; Pp. 335-349; Bibl. 19 ref.
LA : Anglais
EA : This paper describes a superposition calculus where quantifiers are eliminated lazily. Superposition and simplification inferences may employ equivalences that have arbitrary formulas at their smaller side. A closely related calculus is implemented in the Saturate system and has shown useful on many examples, in particular in set theory. The paper presents a completeness proof and reports on practical experience obtained with the Saturate system.
CC : 001D02B01; 001D02A04
FD : Démonstration automatique; Retard; Forme normale; Transformation; Inférence; Théorie ensemble; Superposition; Quantificateur; Complétude
ED : Automatic proving; Delay; Normal form; Transformation; Inference; Set theory; Superposition; Quantifier; Completeness
SD : Demostración automática; Retraso; Forma normal; Transformación; Inferencia; Teoría conjunto; Superposición; Cuantificador; Completitud
LO : INIST-16343.354000117776390280
ID : 04-0200068

Links to Exploration step

Pascal:04-0200068

Le document en format XML

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<AF>MPI für Informatik/66123 Saarbrücken/Allemagne (1 aut.); LORIA École des Mines de Nancy 615 Rue du Jardin Botanique/54600 Villers-lès-Nancy/France (2 aut.)</AF>
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