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» The Algebra of Equality Proofs
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CSL
2010
Springer
13 years 9 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
ICDT
2009
ACM
108views Database» more  ICDT 2009»
14 years 8 months ago
A compositional query algebra for second-order logic and uncertain databases
World-set algebra is a variable-free query language for uncertain databases. It constitutes the core of the query language implemented in MayBMS, an uncertain database system. Thi...
Christoph Koch
MLQ
2006
93views more  MLQ 2006»
13 years 7 months ago
On the extender algebra being complete
We show that a Woodin cardinal is necessary for the Extender Algebra to be complete. Our proof is relatively simple and does not use fine structure.
Richard Ketchersid, Stuart Zoble
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
14 years 5 months ago
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a p...
Rahul Jain, Zhengfeng Ji, Sarvagya Upadhyay and Jo...
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 8 months ago
Eigenvectors and Reconstruction
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
Hongyu He