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» Semantics of Exact Real Arithmetic
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CORR
2008
Springer
154views Education» more  CORR 2008»
13 years 5 months ago
Coinductive Formal Reasoning in Exact Real Arithmetic
In this article we present a method for formally proving the correctness of the lazy algorithms for computing homographic and quadratic transformations -- of which field operations...
Milad Niqui
TC
2010
13 years 1 days ago
Speculatively Redundant Continued Logarithm Representation
Continued logarithms, as originally introduced by Gosper, represent a means for exact rational arithmetic, but their application to exact real arithmetic is limited by the uniquene...
Tomas Brabec
MICS
2007
100views more  MICS 2007»
13 years 4 months ago
A New Method for Real Root Isolation of Univariate Polynomials
A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arit...
Ting Zhang, Bican Xia
CIE
2005
Springer
13 years 11 months ago
Formalising Exact Arithmetic in Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Potts and Edalat [1]. We choose the constructive type theory as our formal verification t...
Milad Niqui