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» Guaranteed Proofs Using Interval Arithmetic
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FCCM
2009
IEEE
172views VLSI» more  FCCM 2009»
14 years 2 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,...
CPAIOR
2010
Springer
14 years 11 days 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
CPM
2006
Springer
107views Combinatorics» more  CPM 2006»
13 years 11 months ago
Tiling an Interval of the Discrete Line
We consider the problem of tiling a segment {0, . . . , n} of the discrete line. More precisely, we ought to characterize the structure of the patterns that tile a segment and thei...
Olivier Bodini, Eric Rivals
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
ENTCS
2008
91views more  ENTCS 2008»
13 years 7 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