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» Standardized Interval Arithmetic and Interval Arithmetic Use...
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ICCAD
2003
IEEE
154views Hardware» more  ICCAD 2003»
14 years 4 months ago
Fast, Accurate Static Analysis for Fixed-Point Finite-Precision Effects in DSP Designs
Translating digital signal processing (DSP) software into its finite-precision hardware implementation is often a timeconsuming task. We describe a new static analysis technique ...
Claire Fang Fang, Rob A. Rutenbar, Tsuhan Chen
TPHOL
2005
IEEE
14 years 1 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
FOCM
2002
83views more  FOCM 2002»
13 years 7 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
DGCI
2005
Springer
14 years 1 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte
ATVA
2006
Springer
162views Hardware» more  ATVA 2006»
13 years 11 months ago
Predicate Abstraction of Programs with Non-linear Computation
e Abstraction of Programs With Non-linear Computation Songtao Xia1 Ben Di Vito2 Cesar Munoz3 1 NASA Postdoc at NASA Langley Research Center, Hampton, VA 2 NASA Langley Research Cen...
Songtao Xia, Ben Di Vito, César Muño...