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...
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...
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
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 ...
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 ...