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CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 4 months ago
Real-Time Sorting of Binary Numbers on One-Dimensional CA
A new fast (real time) sorter of binary numbers by one-dimensional cellular automata is proposed. It sorts a list of n numbers represented by k-bits each in exactly nk steps. This ...
Thomas Worsch, Hidenosuke Nishio
ENTCS
2008
91views more  ENTCS 2008»
13 years 7 months ago
Implementing Real Numbers With RZ
RZ is a tool which translates axiomatizations of mathematical structures to program specifications using the realizability interpretation of logic. This helps programmers correctl...
Andrej Bauer, Iztok Kavkler
TYPES
2000
Springer
13 years 11 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 7 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
ENTCS
2006
137views more  ENTCS 2006»
13 years 7 months ago
Coinductive Field of Exact Real Numbers and General Corecursion
In this article we present a method to define algebraic structure (field operations) on a representation of real numbers by coinductive streams. The field operations will be given...
Milad Niqui