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ENTCS
2008
91views more  ENTCS 2008»
14 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
HPCS
2009
IEEE
15 years 1 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
84
Voted
FCCM
2009
IEEE
172views VLSI» more  FCCM 2009»
15 years 4 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 9 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
81
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CPAIOR
2010
Springer
15 years 2 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