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On lexicographic termination ordering with space bound certifications

Identifieur interne : 000884 ( PascalFrancis/Corpus ); précédent : 000883; suivant : 000885

On lexicographic termination ordering with space bound certifications

Auteurs : Guillaume Bonfante ; Jean-Yves Marion ; Jean-Yves Moyen

Source :

RBID : Pascal:02-0191272

Descripteurs français

English descriptors

Abstract

We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 2244
A08 01  1  ENG  @1 On lexicographic termination ordering with space bound certifications
A09 01  1  ENG  @1 PSI : perspectives of systems informatics : Novosibirsk, 2-6 July 2001, revised papers
A11 01  1    @1 BONFANTE (Guillaume)
A11 02  1    @1 MARION (Jean-Yves)
A11 03  1    @1 MOYEN (Jean-Yves)
A12 01  1    @1 BJORNER (Dines) @9 ed.
A12 02  1    @1 BROY (Manfred) @9 ed.
A12 03  1    @1 ZAMULIN (Alexandre V.) @9 ed.
A14 01      @1 Loria, Calligramme project, B.P. 239 @2 54506 Vandœuvre-lès-Nancy @3 FRA @Z 1 aut. @Z 2 aut. @Z 3 aut.
A20       @1 482-493
A21       @1 2001
A23 01      @0 ENG
A26 01      @0 3-540-43075-X
A43 01      @1 INIST @2 16343 @5 354000097056000460
A44       @0 0000 @1 © 2002 INIST-CNRS. All rights reserved.
A45       @0 23 ref.
A47 01  1    @0 02-0191272
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 We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.
C02 01  X    @0 001D02A07
C03 01  X  FRE  @0 Fonction polynomiale @5 01
C03 01  X  ENG  @0 Polynomial function @5 01
C03 01  X  SPA  @0 Función polinomial @5 01
C03 02  X  FRE  @0 Complexité programme @5 02
C03 02  X  ENG  @0 Program complexity @5 02
C03 02  X  SPA  @0 Complejidad programa @5 02
C03 03  X  FRE  @0 Certification @5 03
C03 03  X  ENG  @0 Certification @5 03
C03 03  X  SPA  @0 Certificación @5 03
C03 04  X  FRE  @0 Langage ordre 1 @5 04
C03 04  X  ENG  @0 First order language @5 04
C03 04  X  SPA  @0 Lenguaje orden 1 @5 04
C03 05  X  FRE  @0 Programmation fonctionnelle @5 05
C03 05  X  ENG  @0 Functional programming @5 05
C03 05  X  SPA  @0 Programación funcional @5 05
C03 06  X  FRE  @0 Analyse programme @5 06
C03 06  X  ENG  @0 Program analysis @5 06
C03 06  X  SPA  @0 Análisis programa @5 06
C03 07  X  FRE  @0 Relation ordre @5 07
C03 07  X  ENG  @0 Ordering @5 07
C03 07  X  SPA  @0 Relación orden @5 07
C03 08  X  FRE  @0 Ordre lexicographique @5 08
C03 08  X  ENG  @0 Lexicographic order @5 08
C03 08  X  SPA  @0 Orden lexicográfico @5 08
N21       @1 112
N82       @1 PSI
pR  
A30 01  1  ENG  @1 International Andrei Ershov Memorial conference @2 4 @3 Novosibirsk RUS @4 2001-06-02

Format Inist (serveur)

NO : PASCAL 02-0191272 INIST
ET : On lexicographic termination ordering with space bound certifications
AU : BONFANTE (Guillaume); MARION (Jean-Yves); MOYEN (Jean-Yves); BJORNER (Dines); BROY (Manfred); ZAMULIN (Alexandre V.)
AF : Loria, Calligramme project, B.P. 239/54506 Vandœuvre-lès-Nancy/France (1 aut., 2 aut., 3 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2001; Vol. 2244; Pp. 482-493; Bibl. 23 ref.
LA : Anglais
EA : We propose a method to analyse the program space complexity, based on termination orderings. This method can be implemented to certify the runspace of programs. We demonstrate that the class of functions computed by first order functional programs over free algebras which terminate by Lexicographic Path Ordering and admit a polynomial quasi-interpretation, is exactly the class of functions computable in polynomial space.
CC : 001D02A07
FD : Fonction polynomiale; Complexité programme; Certification; Langage ordre 1; Programmation fonctionnelle; Analyse programme; Relation ordre; Ordre lexicographique
ED : Polynomial function; Program complexity; Certification; First order language; Functional programming; Program analysis; Ordering; Lexicographic order
SD : Función polinomial; Complejidad programa; Certificación; Lenguaje orden 1; Programación funcional; Análisis programa; Relación orden; Orden lexicográfico
LO : INIST-16343.354000097056000460
ID : 02-0191272

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Pascal:02-0191272

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