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» Coinduction for Exact Real Number Computation
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CIE
2005
Springer
13 years 11 months 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
COMPGEOM
2005
ACM
13 years 11 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
CCA
2000
Springer
14 years 2 months ago
Exact Real Arithmetic Systems: Results of Competition
Abstract. A competition between systems for doing exact real number computations was held in September 2000. We present the results obtained and give a short evaluation of the di...
Jens Blanck
LICS
1997
IEEE
14 years 2 months ago
Semantics of Exact Real Arithmetic
In this paper, we incorporate a representation of the non-negative extended real numbers based on the composition of linear fractional transformations with nonnegative integer coe...
Peter John Potts, Abbas Edalat, Martín H&ou...
ENTCS
2008
91views more  ENTCS 2008»
13 years 9 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