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Higher-order equational unification via explicit substitutions

Identifieur interne : 000C26 ( PascalFrancis/Corpus ); précédent : 000C25; suivant : 000C27

Higher-order equational unification via explicit substitutions

Auteurs : C. Kirchner ; C. Ringeissen

Source :

RBID : Pascal:97-0547478

Descripteurs français

English descriptors

Abstract

We show how to reduce the unification problem modulo βη-conversion and a first-order equational theory E, into a first-order unification problem in a union of two non-disjoint equational theories including E and a calculus of explicit substitutions. A rule-based unification procedure in this combined theory is described and may be viewed as an extension of the one initially designed by G. Dowek, T. Hardin and C. Kirchner for performing unification of simply typed λ-terms in a first-order setting via the λσ-calculus of explicit substitutions. Additional rules are used to deal with the interaction between E and λσ.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 1298
A08 01  1  ENG  @1 Higher-order equational unification via explicit substitutions
A09 01  1  ENG  @1 ALP '97 : algebraic and logic programming : Southampton, September 3-5, 1997
A11 01  1    @1 KIRCHNER (C.)
A11 02  1    @1 RINGEISSEN (C.)
A12 01  1    @1 HANUS (Michael) @9 ed.
A12 02  1    @1 HEERING (jan) @9 ed.
A12 03  1    @1 MEINKE (Karl) @9 ed.
A14 01      @1 INRIA-Lorraine & CRIN-CNRS, 615, rue du Jardin Botanique, BP 101 @2 54602 Villers-lès-Nancy @3 FRA @Z 1 aut. @Z 2 aut.
A20       @1 61-75
A21       @1 1997
A23 01      @0 ENG
A26 01      @0 3-540-63459-2
A43 01      @1 INIST @2 16343 @5 354000068073340050
A44       @0 0000 @1 © 1997 INIST-CNRS. All rights reserved.
A45       @0 15 ref.
A47 01  1    @0 97-0547478
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
A66 02      @0 USA
C01 01    ENG  @0 We show how to reduce the unification problem modulo βη-conversion and a first-order equational theory E, into a first-order unification problem in a union of two non-disjoint equational theories including E and a calculus of explicit substitutions. A rule-based unification procedure in this combined theory is described and may be viewed as an extension of the one initially designed by G. Dowek, T. Hardin and C. Kirchner for performing unification of simply typed λ-terms in a first-order setting via the λσ-calculus of explicit substitutions. Additional rules are used to deal with the interaction between E and λσ.
C02 01  X    @0 001D02A07
C03 01  X  FRE  @0 Informatique théorique @5 01
C03 01  X  ENG  @0 Computer theory @5 01
C03 01  X  SPA  @0 Informática teórica @5 01
C03 02  X  FRE  @0 Théorie équationnelle @5 02
C03 02  X  ENG  @0 Equational theory @5 02
C03 02  X  SPA  @0 Teoría ecuaciónal @5 02
C03 03  X  FRE  @0 Programmation logique @5 03
C03 03  X  ENG  @0 Logical programming @5 03
C03 03  X  SPA  @0 Programación lógica @5 03
C03 04  X  FRE  @0 Programmation fonctionnelle @5 04
C03 04  X  ENG  @0 Functional programming @5 04
C03 04  X  SPA  @0 Programación funcional @5 04
C03 05  X  FRE  @0 Lambda calcul @5 05
C03 05  X  ENG  @0 Lambda calculus @5 05
C03 05  X  SPA  @0 Lambda cálculo @5 05
N21       @1 342
pR  
A30 01  1  ENG  @1 International conference on algebraic and logic programming @2 6 @3 Southampton GBR @4 1997-09-03
A30 02  1  ENG  @1 HOA '97 : international workshop on higher-order algebra @2 3 @3 Southampton GBR @4 1997-09-03

Format Inist (serveur)

NO : PASCAL 97-0547478 INIST
ET : Higher-order equational unification via explicit substitutions
AU : KIRCHNER (C.); RINGEISSEN (C.); HANUS (Michael); HEERING (jan); MEINKE (Karl)
AF : INRIA-Lorraine & CRIN-CNRS, 615, rue du Jardin Botanique, BP 101/54602 Villers-lès-Nancy/France (1 aut., 2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 1997; Vol. 1298; Pp. 61-75; Bibl. 15 ref.
LA : Anglais
EA : We show how to reduce the unification problem modulo βη-conversion and a first-order equational theory E, into a first-order unification problem in a union of two non-disjoint equational theories including E and a calculus of explicit substitutions. A rule-based unification procedure in this combined theory is described and may be viewed as an extension of the one initially designed by G. Dowek, T. Hardin and C. Kirchner for performing unification of simply typed λ-terms in a first-order setting via the λσ-calculus of explicit substitutions. Additional rules are used to deal with the interaction between E and λσ.
CC : 001D02A07
FD : Informatique théorique; Théorie équationnelle; Programmation logique; Programmation fonctionnelle; Lambda calcul
ED : Computer theory; Equational theory; Logical programming; Functional programming; Lambda calculus
SD : Informática teórica; Teoría ecuaciónal; Programación lógica; Programación funcional; Lambda cálculo
LO : INIST-16343.354000068073340050
ID : 97-0547478

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