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Combining generic and domain specific Reasoning by using contexts

Identifieur interne : 000779 ( PascalFrancis/Corpus ); précédent : 000778; suivant : 000780

Combining generic and domain specific Reasoning by using contexts

Auteurs : Silvio Ranise

Source :

RBID : Pascal:03-0367523

Descripteurs français

English descriptors

Abstract

The most effective theorem proving systems (such as PVS, Acl2, and HOL) provide a kind of two-level reasoning, where the knowledge of a given domain is treated by a special purpose reasoner and a generic reasoning module is used for the actual problem specification. To obtain an effective integration between these two levels of reasoning is far from being a trivial task. In this paper, we propose a combination of Window Reasoning and Constraint Contextual Rewriting to achieve an effective integration of such levels. The former supports hierarchical reasoning for arbitrarily complex expressions. The latter provides the necessary theorem proving support for domain specific reasoning. The two levels of reasoning cooperate by building and exploiting a context, i.e. a set of facts which can be assumed true while transforming a given subexpression. We also argue that the proposed combination schema can be useful for building sound simplifiers to be used in computer algebra systems.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 2385
A08 01  1  ENG  @1 Combining generic and domain specific Reasoning by using contexts
A09 01  1  ENG  @1 AISC 2002 : artificial intelligence, automated reasoning, and symbolic computation : Marseille, 1-5 July 2002
A11 01  1    @1 RANISE (Silvio)
A12 01  1    @1 CALMET (Jacques) @9 ed.
A12 02  1    @1 BENHAMOU (Belaid) @9 ed.
A12 03  1    @1 CAPROTTI (Olga) @9 ed.
A12 04  1    @1 HENOCQUE (Laurent) @9 ed.
A12 05  1    @1 SORGE (Volker) @9 ed.
A14 01      @1 Université H. Poincaré-Nancy 2 & LORIA-INRIA-Lorraine, 615, rue du Jardin Botanique, BP 101 @2 54602 Villers Les Nancy @3 FRA @Z 1 aut.
A20       @1 305-318
A21       @1 2002
A23 01      @0 ENG
A26 01      @0 3-540-43865-3
A43 01      @1 INIST @2 16343 @5 354000108487530250
A44       @0 0000 @1 © 2003 INIST-CNRS. All rights reserved.
A45       @0 25 ref.
A47 01  1    @0 03-0367523
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 The most effective theorem proving systems (such as PVS, Acl2, and HOL) provide a kind of two-level reasoning, where the knowledge of a given domain is treated by a special purpose reasoner and a generic reasoning module is used for the actual problem specification. To obtain an effective integration between these two levels of reasoning is far from being a trivial task. In this paper, we propose a combination of Window Reasoning and Constraint Contextual Rewriting to achieve an effective integration of such levels. The former supports hierarchical reasoning for arbitrarily complex expressions. The latter provides the necessary theorem proving support for domain specific reasoning. The two levels of reasoning cooperate by building and exploiting a context, i.e. a set of facts which can be assumed true while transforming a given subexpression. We also argue that the proposed combination schema can be useful for building sound simplifiers to be used in computer algebra systems.
C02 01  X    @0 001D02C02
C03 01  X  FRE  @0 Intelligence artificielle @5 01
C03 01  X  ENG  @0 Artificial intelligence @5 01
C03 01  X  SPA  @0 Inteligencia artificial @5 01
C03 02  X  FRE  @0 Démonstration théorème @5 02
C03 02  X  ENG  @0 Theorem proving @5 02
C03 02  X  SPA  @0 Demostración teorema @5 02
C03 03  X  FRE  @0 Réécriture @5 11
C03 03  X  ENG  @0 Rewriting @5 11
C03 03  X  SPA  @0 Reescritura @5 11
C03 04  X  FRE  @0 Calcul formel @5 21
C03 04  X  ENG  @0 Computer algebra @5 21
C03 04  X  SPA  @0 Cálculo formal @5 21
N21       @1 258
N82       @1 PSI
pR  
A30 01  1  ENG  @1 Artificial intelligence, automated reasoning, and symbolic computation. Joint international conferences @3 Marseille FRA @4 2002-07-01

Format Inist (serveur)

NO : PASCAL 03-0367523 INIST
ET : Combining generic and domain specific Reasoning by using contexts
AU : RANISE (Silvio); CALMET (Jacques); BENHAMOU (Belaid); CAPROTTI (Olga); HENOCQUE (Laurent); SORGE (Volker)
AF : Université H. Poincaré-Nancy 2 & LORIA-INRIA-Lorraine, 615, rue du Jardin Botanique, BP 101/54602 Villers Les Nancy /France (1 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2002; Vol. 2385; Pp. 305-318; Bibl. 25 ref.
LA : Anglais
EA : The most effective theorem proving systems (such as PVS, Acl2, and HOL) provide a kind of two-level reasoning, where the knowledge of a given domain is treated by a special purpose reasoner and a generic reasoning module is used for the actual problem specification. To obtain an effective integration between these two levels of reasoning is far from being a trivial task. In this paper, we propose a combination of Window Reasoning and Constraint Contextual Rewriting to achieve an effective integration of such levels. The former supports hierarchical reasoning for arbitrarily complex expressions. The latter provides the necessary theorem proving support for domain specific reasoning. The two levels of reasoning cooperate by building and exploiting a context, i.e. a set of facts which can be assumed true while transforming a given subexpression. We also argue that the proposed combination schema can be useful for building sound simplifiers to be used in computer algebra systems.
CC : 001D02C02
FD : Intelligence artificielle; Démonstration théorème; Réécriture; Calcul formel
ED : Artificial intelligence; Theorem proving; Rewriting; Computer algebra
SD : Inteligencia artificial; Demostración teorema; Reescritura; Cálculo formal
LO : INIST-16343.354000108487530250
ID : 03-0367523

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Pascal:03-0367523

Le document en format XML

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