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MCU
2004
76views Hardware» more  MCU 2004»
13 years 6 months ago
Real Recursive Functions and Real Extensions of Recursive Functions
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...
Olivier Bournez, Emmanuel Hainry
FUIN
2006
89views more  FUIN 2006»
13 years 4 months ago
Recursive Analysis Characterized as a Class of Real Recursive Functions
Recently, using a limit schema, we presented an analog and machine independent algebraic characterization of elementary functions over the real numbers in the sense of recursive a...
Olivier Bournez, Emmanuel Hainry
JSAI
2005
Springer
13 years 10 months ago
Prediction of Recursive Real-Valued Functions from Finite Examples
Eiju Hirowatari, Kouichi Hirata, Tetsuhiro Miyahar...
ICALP
2004
Springer
13 years 10 months ago
An Analog Characterization of Elementarily Computable Functions over the Real Numbers
Abstract We present an analog and machine-independent algebraic characterization of elementarily computable functions over the real numbers in the sense of recursive analysis: we p...
Olivier Bournez, Emmanuel Hainry
AML
2008
124views more  AML 2008»
13 years 4 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian