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» Bounded Arithmetic and Descriptive Complexity
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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
DLT
2009
13 years 5 months ago
Tight Bounds on the Descriptional Complexity of Regular Expressions
Abstract. We improve on some recent results on lower bounds for conversion problems for regular expressions. In particular we consider the conversion of planar deterministic finite...
Hermann Gruber, Markus Holzer
CORR
2012
Springer
207views Education» more  CORR 2012»
12 years 3 months ago
A baby step-giant step roadmap algorithm for general algebraic sets
Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that takes as input a polynomial Q ⊂ D[X1, . . . , Xk], and computes a description of ...
Saugata Basu, Marie-Françoise Roy, Mohab Sa...
ICCD
2004
IEEE
100views Hardware» more  ICCD 2004»
14 years 4 months ago
Layout Driven Optimization of Datapath Circuits using Arithmetic Reasoning
This paper proposes a new formalism for layout-driven optimization of datapaths. It is based on preserving an arithmetic bit level representation of the arithmetic circuit portion...
Ingmar Neumann, Dominik Stoffel, Kolja Sulimma, Mi...
ISSAC
2009
Springer
144views Mathematics» more  ISSAC 2009»
14 years 1 months ago
H-LLL: using householder inside LLL
We describe a new LLL-type algorithm, H-LLL, that relies on Householder transformations to approximate the underlying Gram-Schmidt orthogonalizations. The latter computations are ...
Ivan Morel, Damien Stehlé, Gilles Villard