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CIE
2005
Springer
14 years 23 days ago
Shrad: A Language for Sequential Real Number Computation
Since Di Gianantonio [1993] introduced his semantics for exact real omputation, there has always been a struggle to maintain data abstraction and efficiency as much as possible. T...
Amin Farjudian
ICALP
2004
Springer
14 years 4 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 11 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
ENTCS
2007
86views more  ENTCS 2007»
13 years 10 months ago
On the Non-sequential Nature of Domain Models of Real-number Computation
Escard´o, Hofmann and Streicher showed that real-number computations in the interval-domain environment are inherently parallel, in the sense that they imply the presence of weak...
Thomas Anberrée
LICS
1997
IEEE
14 years 3 months ago
Induction and Recursion on the Partial Real Line via Biquotients of Bifree Algebras
The partial real line is the continuous domain of compact real intervals ordered by reverse inclusion. The idea is that singleton intervals represent total real numbers, and that ...
Martín Hötzel Escardó, Thomas S...