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» Standardized Interval Arithmetic and Interval Arithmetic Use...
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MLQ
2008
63views more  MLQ 2008»
13 years 7 months ago
Generic cuts in models of arithmetic
We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator Y . The notion of `indicator' is d...
Richard Kaye
TSMC
2008
147views more  TSMC 2008»
13 years 7 months ago
A New Approach for Solving Nonlinear Equations Systems
This paper proposes a new perspective for solving systems of complex nonlinear equations by simply viewing them as a multiobjective optimization problem. Every equation in the syst...
Crina Grosan, Ajith Abraham
WSC
2008
13 years 10 months ago
Reliable simulation with input uncertainties using an interval-based approach
Uncertainty associated with input parameters and models in simulation has gained attentions in recent years. The sources of uncertainties include lack of data and lack of knowledg...
Ola Ghazi Batarseh, Yan Wang
SAC
2006
ACM
13 years 7 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
FPL
2007
Springer
190views Hardware» more  FPL 2007»
14 years 1 months ago
Automatic Accuracy-Guaranteed Bit-Width Optimization for Fixed and Floating-Point Systems
In this paper we present Minibit+, an approach that optimizes the bit-widths of fixed-point and floating-point designs, while guaranteeing accuracy. Our approach adopts differen...
William G. Osborne, Ray C. C. Cheung, José ...