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Proving positive almost sure termination under strategies

Identifieur interne : 000388 ( PascalFrancis/Corpus ); précédent : 000387; suivant : 000389

Proving positive almost sure termination under strategies

Auteurs : Olivier Bournez ; Florent Garnier

Source :

RBID : Pascal:07-0517966

Descripteurs français

English descriptors

Abstract

In last RTA, we introduced the notion of probabilistic rewrite systems and we gave some conditions entailing termination of those systems within a finite mean number of reduction steps. Termination was considered under arbitrary unrestricted policies. Policies correspond to strategies for non-probabilistic rewrite systems. This is often natural or more useful to restrict policies to a subclass. We introduce the notion of positive almost sure termination under strategies, and we provide sufficient criteria to prove termination of a given probabilitic rewrite system under strategies. This is illustrated with several examples.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 4098
A08 01  1  ENG  @1 Proving positive almost sure termination under strategies
A09 01  1  ENG  @1 Term rewriting and applications : 17th international conference, RTA 2006, Seattle, WA, USA, August 12-14, 2006 : proceedings
A11 01  1    @1 BOURNEZ (Olivier)
A11 02  1    @1 GARNIER (Florent)
A12 01  1    @1 PFENNING (Frank) @9 ed.
A14 01      @1 LORIA/INRIA, 615 Rue du Jardin Botanique @2 54602 Villers lès Nancy @3 FRA @Z 1 aut. @Z 2 aut.
A20       @1 357-371
A21       @1 2006
A23 01      @0 ENG
A26 01      @0 3-540-36834-5
A43 01      @1 INIST @2 16343 @5 354000153621310270
A44       @0 0000 @1 © 2007 INIST-CNRS. All rights reserved.
A45       @0 27 ref.
A47 01  1    @0 07-0517966
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 In last RTA, we introduced the notion of probabilistic rewrite systems and we gave some conditions entailing termination of those systems within a finite mean number of reduction steps. Termination was considered under arbitrary unrestricted policies. Policies correspond to strategies for non-probabilistic rewrite systems. This is often natural or more useful to restrict policies to a subclass. We introduce the notion of positive almost sure termination under strategies, and we provide sufficient criteria to prove termination of a given probabilitic rewrite system under strategies. This is illustrated with several examples.
C02 01  X    @0 001D02B02
C03 01  X  FRE  @0 Réécriture @5 01
C03 01  X  ENG  @0 Rewriting @5 01
C03 01  X  SPA  @0 Reescritura @5 01
C03 02  3  FRE  @0 Système réécriture @5 06
C03 02  3  ENG  @0 Rewriting systems @5 06
C03 03  X  FRE  @0 Problème terminaison @5 23
C03 03  X  ENG  @0 Termination problem @5 23
C03 03  X  SPA  @0 Problema terminación @5 23
C03 04  X  FRE  @0 Approche probabiliste @5 24
C03 04  X  ENG  @0 Probabilistic approach @5 24
C03 04  X  SPA  @0 Enfoque probabilista @5 24
C03 05  X  FRE  @0 Modélisation @5 25
C03 05  X  ENG  @0 Modeling @5 25
C03 05  X  SPA  @0 Modelización @5 25
C03 06  X  FRE  @0 . @4 INC @5 82
N21       @1 337
N44 01      @1 OTO
N82       @1 OTO
pR  
A30 01  1  ENG  @1 International Conference on Rewriting Techniques and Applications @2 17 @3 Seattle WA USA @4 2006

Format Inist (serveur)

NO : PASCAL 07-0517966 INIST
ET : Proving positive almost sure termination under strategies
AU : BOURNEZ (Olivier); GARNIER (Florent); PFENNING (Frank)
AF : LORIA/INRIA, 615 Rue du Jardin Botanique/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. 2006; Vol. 4098; Pp. 357-371; Bibl. 27 ref.
LA : Anglais
EA : In last RTA, we introduced the notion of probabilistic rewrite systems and we gave some conditions entailing termination of those systems within a finite mean number of reduction steps. Termination was considered under arbitrary unrestricted policies. Policies correspond to strategies for non-probabilistic rewrite systems. This is often natural or more useful to restrict policies to a subclass. We introduce the notion of positive almost sure termination under strategies, and we provide sufficient criteria to prove termination of a given probabilitic rewrite system under strategies. This is illustrated with several examples.
CC : 001D02B02
FD : Réécriture; Système réécriture; Problème terminaison; Approche probabiliste; Modélisation; .
ED : Rewriting; Rewriting systems; Termination problem; Probabilistic approach; Modeling
SD : Reescritura; Problema terminación; Enfoque probabilista; Modelización
LO : INIST-16343.354000153621310270
ID : 07-0517966

Links to Exploration step

Pascal:07-0517966

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