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ENTCS
2008
91views more  ENTCS 2008»
14 years 11 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
HPCS
2009
IEEE
15 years 3 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
FCCM
2009
IEEE
172views VLSI» more  FCCM 2009»
15 years 5 months ago
Evaluation of Static Analysis Techniques for Fixed-Point Precision Optimization
Abstract—Precision analysis and optimization is very important when transforming a floating-point algorithm into fixedpoint hardware implementations. The core analysis techniqu...
Jason Cong, Karthik Gururaj, Bin Liu, Chunyue Liu,...
CORR
2006
Springer
102views Education» more  CORR 2006»
14 years 11 months ago
A library of Taylor models for PVS automatic proof checker
We present in this paper a library to compute with Taylor models, a technique extending interval arithmetic to reduce decorrelation and to solve differential equations. Numerical s...
Francisco Cháves, Marc Daumas
86
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CPAIOR
2010
Springer
15 years 3 months ago
Constraint Reasoning with Uncertain Data Using CDF-Intervals
Interval coefficients have been introduced in OR and CP to specify uncertain data in order to provide reliable solutions to convex models. The output is generally a solution set, ...
Aya Saad, Carmen Gervet, Slim Abdennadher