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Kolmogorov complexity and non-determinism

Identifieur interne : 000887 ( PascalFrancis/Corpus ); précédent : 000886; suivant : 000888

Kolmogorov complexity and non-determinism

Auteurs : Serge Grigorieff ; Jean-Yves Marion

Source :

RBID : Pascal:02-0172068

Descripteurs français

English descriptors

Abstract

We are concerned with Kolmogorov complexity of strings produced by non-deterministic algorithms. For this, we consider five classes of non-deterministic description modes: (i) non-bounded description modes in which the number of outputs depends on programs, (ii) distributed description modes in which the number of outputs depends on the size of the outputs, (iii) spread description modes in which the number of outputs depends on both programs and the size of the outputs, (iv) description modes for which each string has a unique minimal description, and lastly (v) description modes for which the set of minimal length descriptions is a prefix set.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

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A02 01      @0 TCSCDI
A03   1    @0 Theor. comput. sci.
A05       @2 271
A06       @2 1-2
A08 01  1  ENG  @1 Kolmogorov complexity and non-determinism
A09 01  1  ENG  @1 Kolmogorov complexity
A11 01  1    @1 GRIGORIEFF (Serge)
A11 02  1    @1 MARION (Jean-Yves)
A12 01  1    @1 DURAND (Bruno) @9 ed.
A14 01      @1 Université Paris 7, UFR d'lnformatique, 2 Place Jussieu @2 75251 Paris @3 FRA @Z 1 aut.
A14 02      @1 Laboratoire LLAIC, Université Clermont-Ferrand 1 @3 FRA @Z 1 aut.
A14 03      @1 LORIA, Université Nancy 2, Calligramme Project, B.P. 239 @2 54506 Vandœuvre-lès-Nancy @3 FRA @Z 2 aut.
A15 01      @1 LIM - CMI, Université de Provence, 39 rue Jolliot-Curie @2 13453 Marseille @3 FRA @Z 1 aut.
A20       @1 151-180
A21       @1 2002
A23 01      @0 ENG
A43 01      @1 INIST @2 17243 @5 354000103453390120
A44       @0 0000 @1 © 2002 INIST-CNRS. All rights reserved.
A45       @0 11 ref.
A47 01  1    @0 02-0172068
A60       @1 P
A61       @0 A
A64 01  1    @0 Theoretical computer science
A66 01      @0 NLD
C01 01    ENG  @0 We are concerned with Kolmogorov complexity of strings produced by non-deterministic algorithms. For this, we consider five classes of non-deterministic description modes: (i) non-bounded description modes in which the number of outputs depends on programs, (ii) distributed description modes in which the number of outputs depends on the size of the outputs, (iii) spread description modes in which the number of outputs depends on both programs and the size of the outputs, (iv) description modes for which each string has a unique minimal description, and lastly (v) description modes for which the set of minimal length descriptions is a prefix set.
C02 01  X    @0 001D02A05
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C03 01  X  ENG  @0 Information theory @5 01
C03 01  X  SPA  @0 Teoría información @5 01
C03 02  X  FRE  @0 Complexité @5 02
C03 02  X  ENG  @0 Complexity @5 02
C03 02  X  SPA  @0 Complejidad @5 02
C03 03  X  FRE  @0 Non déterminisme @5 03
C03 03  X  ENG  @0 Non determinism @5 03
C03 03  X  SPA  @0 No determinismo @5 03
C03 04  X  FRE  @0 Donnée binaire @5 04
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C03 04  X  SPA  @0 Dato binario @5 04
C03 05  X  FRE  @0 Suite binaire @4 CD @5 96
C03 05  X  ENG  @0 Binary string @4 CD @5 96
C03 06  X  FRE  @0 Complexité Kolmogorov @4 CD @5 97
C03 06  X  ENG  @0 Kolmogorov complexity @4 CD @5 97
C03 07  X  FRE  @0 Mode préfixe @4 CD @5 98
C03 07  X  ENG  @0 Prefix mode @4 CD @5 98
N21       @1 098

Format Inist (serveur)

NO : PASCAL 02-0172068 INIST
ET : Kolmogorov complexity and non-determinism
AU : GRIGORIEFF (Serge); MARION (Jean-Yves); DURAND (Bruno)
AF : Université Paris 7, UFR d'lnformatique, 2 Place Jussieu/75251 Paris/France (1 aut.); Laboratoire LLAIC, Université Clermont-Ferrand 1/France (1 aut.); LORIA, Université Nancy 2, Calligramme Project, B.P. 239/54506 Vandœuvre-lès-Nancy/France (2 aut.); LIM - CMI, Université de Provence, 39 rue Jolliot-Curie/13453 Marseille/France (1 aut.)
DT : Publication en série; Niveau analytique
SO : Theoretical computer science; ISSN 0304-3975; Coden TCSCDI; Pays-Bas; Da. 2002; Vol. 271; No. 1-2; Pp. 151-180; Bibl. 11 ref.
LA : Anglais
EA : We are concerned with Kolmogorov complexity of strings produced by non-deterministic algorithms. For this, we consider five classes of non-deterministic description modes: (i) non-bounded description modes in which the number of outputs depends on programs, (ii) distributed description modes in which the number of outputs depends on the size of the outputs, (iii) spread description modes in which the number of outputs depends on both programs and the size of the outputs, (iv) description modes for which each string has a unique minimal description, and lastly (v) description modes for which the set of minimal length descriptions is a prefix set.
CC : 001D02A05
FD : Théorie information; Complexité; Non déterminisme; Donnée binaire; Suite binaire; Complexité Kolmogorov; Mode préfixe
ED : Information theory; Complexity; Non determinism; Binary data; Binary string; Kolmogorov complexity; Prefix mode
SD : Teoría información; Complejidad; No determinismo; Dato binario
LO : INIST-17243.354000103453390120
ID : 02-0172068

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Pascal:02-0172068

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