Real recursive functions and real extensions of recursive functions
Identifieur interne :
000568 ( PascalFrancis/Corpus );
précédent :
000567;
suivant :
000569
Real recursive functions and real extensions of recursive functions
Auteurs : Olivier Bournez ;
Emmanuel HainrySource :
-
Lecture notes in computer science [ 0302-9743 ] ; 2005.
RBID : Pascal:05-0283136
Descripteurs français
English descriptors
Abstract
Recently, functions over the reals that extend elementarily computable functions over the integers have been proved to correspond to the smallest class of real functions containing some basic functions and closed by composition and linear integration. We extend this result to all computable functions: functions over the reals that extend total recursive functions over the integers are proved to correspond to the smallest class of real functions containing some basic functions and closed by composition, linear integration and a very natural unique minimization schema.
Notice en format standard (ISO 2709)
Pour connaître la documentation sur le format Inist Standard.
pA |
A01 | 01 | 1 | | @0 0302-9743 |
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A05 | | | | @2 3354 |
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A08 | 01 | 1 | ENG | @1 Real recursive functions and real extensions of recursive functions |
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A09 | 01 | 1 | ENG | @1 MCU : machines, computations, and universality : Saint Petersburg, 21-24 September 2004, revised selected papers |
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A11 | 01 | 1 | | @1 BOURNEZ (Olivier) |
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A11 | 02 | 1 | | @1 HAINRY (Emmanuel) |
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A12 | 01 | 1 | | @1 MARGENSTERN (Maurice) @9 ed. |
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A14 | 01 | | | @1 LORIA/INRIA, 615 Rue du Jardin Botanique @2 54602 Villers-Lès-Nancy @3 FRA @Z 1 aut. @Z 2 aut. |
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A20 | | | | @1 116-127 |
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A21 | | | | @1 2005 |
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A23 | 01 | | | @0 ENG |
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A26 | 01 | | | @0 3-540-25261-4 |
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A43 | 01 | | | @1 INIST @2 16343 @5 354000124477780090 |
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A44 | | | | @0 0000 @1 © 2005 INIST-CNRS. All rights reserved. |
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A45 | | | | @0 32 ref. |
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A47 | 01 | 1 | | @0 05-0283136 |
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A60 | | | | @1 P @2 C |
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A61 | | | | @0 A |
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A64 | 01 | 1 | | @0 Lecture notes in computer science |
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A66 | 01 | | | @0 DEU |
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C01 | 01 | | ENG | @0 Recently, functions over the reals that extend elementarily computable functions over the integers have been proved to correspond to the smallest class of real functions containing some basic functions and closed by composition and linear integration. We extend this result to all computable functions: functions over the reals that extend total recursive functions over the integers are proved to correspond to the smallest class of real functions containing some basic functions and closed by composition, linear integration and a very natural unique minimization schema. |
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C02 | 01 | X | | @0 001D02A05 |
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C03 | 01 | X | FRE | @0 Fonction récursive @5 06 |
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C03 | 01 | X | ENG | @0 Recursive function @5 06 |
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C03 | 01 | X | SPA | @0 Función recursiva @5 06 |
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C03 | 02 | X | FRE | @0 Fonction réelle @5 23 |
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C03 | 02 | X | ENG | @0 Real function @5 23 |
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C03 | 02 | X | SPA | @0 Función real @5 23 |
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C03 | 03 | X | FRE | @0 Minimisation @5 24 |
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C03 | 03 | X | ENG | @0 Minimization @5 24 |
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C03 | 03 | X | SPA | @0 Minimización @5 24 |
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N21 | | | | @1 199 |
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N44 | 01 | | | @1 OTO |
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N82 | | | | @1 OTO |
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pR |
A30 | 01 | 1 | ENG | @1 Machines, computations, and universality. International conference @2 4 @3 Saint Petersburg RUS @4 2004-09-21 |
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Format Inist (serveur)
NO : | PASCAL 05-0283136 INIST |
ET : | Real recursive functions and real extensions of recursive functions |
AU : | BOURNEZ (Olivier); HAINRY (Emmanuel); MARGENSTERN (Maurice) |
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. 2005; Vol. 3354; Pp. 116-127; Bibl. 32 ref. |
LA : | Anglais |
EA : | Recently, functions over the reals that extend elementarily computable functions over the integers have been proved to correspond to the smallest class of real functions containing some basic functions and closed by composition and linear integration. We extend this result to all computable functions: functions over the reals that extend total recursive functions over the integers are proved to correspond to the smallest class of real functions containing some basic functions and closed by composition, linear integration and a very natural unique minimization schema. |
CC : | 001D02A05 |
FD : | Fonction récursive; Fonction réelle; Minimisation |
ED : | Recursive function; Real function; Minimization |
SD : | Función recursiva; Función real; Minimización |
LO : | INIST-16343.354000124477780090 |
ID : | 05-0283136 |
Links to Exploration step
Pascal:05-0283136
Le document en format XML
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