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» Third-Order Computation and Bounded Arithmetic
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CASC
2009
Springer
180views Mathematics» more  CASC 2009»
13 years 8 months ago
Effective Quantifier Elimination for Presburger Arithmetic with Infinity
We consider Presburger arithmetic extended by infinity. For this we give an effective quantifier elimination and decision procedure which implies also the completeness of our exten...
Aless Lasaruk, Thomas Sturm
CGF
2010
128views more  CGF 2010»
13 years 7 months ago
An Optimizing Compiler for Automatic Shader Bounding
Programmable shading provides artistic control over materials and geometry, but the black box nature of shaders makes some rendering optimizations difficult to apply. In many case...
Petrik Clarberg, Robert Toth, Jon Hasselgren, Toma...
ITA
2007
13 years 7 months ago
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds...
Nicolas Brisebarre, Jean-Michel Muller
CIE
2006
Springer
13 years 11 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
ARITH
2005
IEEE
14 years 1 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...