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» The Proof Complexity of Linear Algebra
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ENTCS
2006
113views more  ENTCS 2006»
13 years 8 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
ENDM
2010
103views more  ENDM 2010»
13 years 5 months ago
Structural Analysis for Differential-Algebraic Systems: Complexity, Formulation and Facets
In this paper we consider the structural analysis problem for differential-algebraic systems with conditional equations. This consists, given a conditional differential algebraic ...
Mathieu Lacroix, Ali Ridha Mahjoub, Sébasti...
JC
2008
92views more  JC 2008»
13 years 7 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
14 years 1 months ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
SAT
2007
Springer
118views Hardware» more  SAT 2007»
14 years 2 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov