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SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 5 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka
LICS
1997
IEEE
13 years 9 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...
AML
2008
124views more  AML 2008»
13 years 5 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
CIE
2005
Springer
13 years 11 months ago
Towards Computability of Higher Type Continuous Data
Abstract. This paper extends the logical approach to computable analysis via Σ–definability to higher type continuous data such as functionals and operators. We employ definab...
Margarita V. Korovina, Oleg V. Kudinov
CASC
2006
Springer
128views Mathematics» more  CASC 2006»
13 years 9 months ago
New Domains for Applied Quantifier Elimination
We address various aspects of our computer algebra-based computer logic system redlog. There are numerous examples in the literature for successful applications of redlog to practi...
Thomas Sturm