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Static Dependency Pair Method Based on Strong Computability for Higher-Order Rewrite Systems

Identifieur interne : 000219 ( PascalFrancis/Corpus ); précédent : 000218; suivant : 000220

Static Dependency Pair Method Based on Strong Computability for Higher-Order Rewrite Systems

Auteurs : Keiichirou Kusakari ; Yasuo Isogai ; Masahiko Sakai ; Frédéric Blanqui

Source :

RBID : Pascal:10-0210395

Descripteurs français

English descriptors

Abstract

Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful method, the static dependency pair method, which is based on the notion of strong computability, in order to prove termination in STRSs. In this paper, we extend the method to HRSs. Since HRSs include λ-abstraction but STRSs do not, we restructure the static dependency pair method to allow λ-abstraction, and show that the static dependency pair method also works well on HRSs without new restrictions.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
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A03   1    @0 IEICE trans. inf. syst.
A05       @2 92
A06       @2 10
A08 01  1  ENG  @1 Static Dependency Pair Method Based on Strong Computability for Higher-Order Rewrite Systems
A11 01  1    @1 KUSAKARI (Keiichirou)
A11 02  1    @1 ISOGAI (Yasuo)
A11 03  1    @1 SAKAI (Masahiko)
A11 04  1    @1 BLANQUI (Frédéric)
A14 01      @1 Graduate School of Information Science, Nagoya Univ. @2 Nagoya-shi, 464-8601 @3 JPN @Z 1 aut. @Z 2 aut. @Z 3 aut.
A14 02      @1 INRIA & LORIA @3 FRA @Z 4 aut.
A20       @1 2007-2015
A21       @1 2009
A23 01      @0 ENG
A43 01      @1 INIST @2 7315E4 @5 354000181713490220
A44       @0 0000 @1 © 2010 INIST-CNRS. All rights reserved.
A45       @0 24 ref.
A47 01  1    @0 10-0210395
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C01 01    ENG  @0 Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful method, the static dependency pair method, which is based on the notion of strong computability, in order to prove termination in STRSs. In this paper, we extend the method to HRSs. Since HRSs include λ-abstraction but STRSs do not, we restructure the static dependency pair method to allow λ-abstraction, and show that the static dependency pair method also works well on HRSs without new restrictions.
C02 01  X    @0 001D04A03
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C03 01  X  SPA  @0 Calculabilidad @5 01
C03 02  3  FRE  @0 Système réécriture @5 02
C03 02  3  ENG  @0 Rewriting systems @5 02
C03 03  X  FRE  @0 Traitement donnée @5 03
C03 03  X  ENG  @0 Data processing @5 03
C03 03  X  SPA  @0 Tratamiento datos @5 03
N21       @1 144

Format Inist (serveur)

NO : PASCAL 10-0210395 INIST
ET : Static Dependency Pair Method Based on Strong Computability for Higher-Order Rewrite Systems
AU : KUSAKARI (Keiichirou); ISOGAI (Yasuo); SAKAI (Masahiko); BLANQUI (Frédéric)
AF : Graduate School of Information Science, Nagoya Univ./Nagoya-shi, 464-8601/Japon (1 aut., 2 aut., 3 aut.); INRIA & LORIA/France (4 aut.)
DT : Publication en série; Niveau analytique
SO : IEICE transactions on information and systems; ISSN 0916-8532; Royaume-Uni; Da. 2009; Vol. 92; No. 10; Pp. 2007-2015; Bibl. 24 ref.
LA : Anglais
EA : Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful method, the static dependency pair method, which is based on the notion of strong computability, in order to prove termination in STRSs. In this paper, we extend the method to HRSs. Since HRSs include λ-abstraction but STRSs do not, we restructure the static dependency pair method to allow λ-abstraction, and show that the static dependency pair method also works well on HRSs without new restrictions.
CC : 001D04A03; 001D02B07B
FD : Calculabilité; Système réécriture; Traitement donnée
ED : Computability; Rewriting systems; Data processing
SD : Calculabilidad; Tratamiento datos
LO : INIST-7315E4.354000181713490220
ID : 10-0210395

Links to Exploration step

Pascal:10-0210395

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