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» Constructive analysis, types and exact real numbers
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MST
2008
150views more  MST 2008»
13 years 7 months ago
Coinduction for Exact Real Number Computation
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
Ulrich Berger, Tie Hou
JUCS
2010
152views more  JUCS 2010»
13 years 2 months ago
Compositional Semantics of Dataflow Networks with Query-Driven Communication of Exact Values
: We develop and study the concept of dataflow process networks as used for example by Kahn to suit exact computation over data types related to real numbers, such as continuous fu...
Michal Konecný, Amin Farjudian
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
TYPES
2000
Springer
13 years 11 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
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