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» The Proof Complexity of Linear Algebra
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LICS
2006
IEEE
14 years 1 months ago
Obsessional Cliques: A Semantic Characterization of Bounded Time Complexity
We give a semantic characterization of bounded complexity proofs. We introduce the notion of obsessional clique in the relational model of linear logic and show that restricting t...
Olivier Laurent, Lorenzo Tortora de Falco
ENTCS
2007
153views more  ENTCS 2007»
13 years 7 months ago
The Methods of Approximation and Lifting in Real Computation
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether de...
Manuel Lameiras Campagnolo, Kerry Ojakian
SPAA
2010
ACM
13 years 6 months ago
Managing the complexity of lookahead for LU factorization with pivoting
We describe parallel implementations of LU factorization with pivoting for multicore architectures. Implementations that differ in two different dimensions are discussed: (1) usin...
Ernie Chan, Robert A. van de Geijn, Andrew Chapman
COCO
2004
Springer
82views Algorithms» more  COCO 2004»
14 years 1 months ago
On the Power of Quantum Proofs
We study the power of quantum proofs, or more precisely, the power of Quantum MerlinArthur (QMA) protocols, in two well studied models of quantum computation: the black box model ...
Ran Raz, Amir Shpilka
APAL
2008
84views more  APAL 2008»
13 years 8 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret