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» Semantics of Exact Real Arithmetic
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CAV
2009
Springer
123views Hardware» more  CAV 2009»
13 years 9 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux
DAGSTUHL
2008
13 years 7 months ago
Interval Arithmetic Using SSE-2
ABSTRACT. We present an implementation of double precision interval arithmetic using the single-instruction-multiple-data SSE-2 instruction and register set extensions. The impleme...
Branimir Lambov
LOGCOM
2010
120views more  LOGCOM 2010»
13 years 4 months ago
Arithmetical Complexity of First-order Predicate Fuzzy Logics Over Distinguished Semantics
All promiment examples of first-order predicate fuzzy logics are undecidable. This leads to the problem of the arithmetical complexity of their sets of tautologies and satisfiab...
Franco Montagna, Carles Noguera
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 12 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
PEPM
2009
ACM
14 years 2 months ago
Program transformation for numerical precision
This article introduces a new program transformation in order to enhance the numerical accuracy of floating-point computations. We consider that a program would return an exact r...
Matthieu Martel