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» Random graphs and the parity quantifier
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APAL
2008
92views more  APAL 2008»
13 years 5 months ago
The complexity of random ordered structures
We show that for random bit strings, Up(n), with probability, p = 1 2 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is (lg lg n), with...
Joel H. Spencer, Katherine St. John
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 5 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
SPIN
2010
Springer
13 years 3 months ago
Analysing Mu-Calculus Properties of Pushdown Systems
Pushdown systems provide a natural model of software with recursive procedure calls. We provide a tool implementing an algorithm for computing the winning regions of a pushdown par...
Matthew Hague, C.-H. Luke Ong
ISCA
2012
IEEE
280views Hardware» more  ISCA 2012»
11 years 7 months ago
A case for random shortcut topologies for HPC interconnects
—As the scales of parallel applications and platforms increase the negative impact of communication latencies on performance becomes large. Fortunately, modern High Performance C...
Michihiro Koibuchi, Hiroki Matsutani, Hideharu Ama...
ICML
2008
IEEE
14 years 6 months ago
Fast incremental proximity search in large graphs
In this paper we investigate two aspects of ranking problems on large graphs. First, we augment the deterministic pruning algorithm in Sarkar and Moore (2007) with sampling techni...
Purnamrita Sarkar, Andrew W. Moore, Amit Prakash