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» Semantics of Exact Real Arithmetic
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LICS
1997
IEEE
15 years 1 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...
MST
2007
168views more  MST 2007»
14 years 9 months ago
Productivity of Edalat-Potts Exact Arithmetic in Constructive Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Edalat–Potts in type theory. We choose the constructive type theory extended with coind...
Milad Niqui
76
Voted
JLP
2006
92views more  JLP 2006»
14 years 9 months ago
Exact real arithmetic using centred intervals and bounded error terms
Approximations based on dyadic centred intervals are investigated as a means for implementing exact real arithmetic. It is shown that the field operations can be implemented on th...
Jens Blanck
FLOPS
2008
Springer
14 years 11 months ago
Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
Nicolas Julien
CCA
2000
Springer
15 years 1 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 diļ¬...
Jens Blanck