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» A sorting network in bounded arithmetic
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APAL
2011
13 years 5 months ago
A sorting network in bounded arithmetic
We formalize the construction of Paterson’s variant of the Ajtai–Koml´os–Szemer´edi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 ∗ (an ex...
Emil Jerábek
ISAAC
2003
Springer
129views Algorithms» more  ISAAC 2003»
14 years 4 months ago
Lower Bounds on Correction Networks
Abstract. Correction networks are comparator networks that sort inputs differing from sorted sequences of length N in a small number of positions. The main application of such netw...
Grzegorz Stachowiak
SIAMCOMP
1998
162views more  SIAMCOMP 1998»
13 years 10 months ago
Hypercubic Sorting Networks
Hypercubic sorting networks are a class of comparator networks whose structure maps e ciently to the hypercube and any of its bounded degree variants. Recently, n-input hypercubic...
Frank Thomson Leighton, C. Greg Plaxton
STOC
1995
ACM
117views Algorithms» more  STOC 1995»
14 years 2 months ago
Lower bounds for sorting networks
Nabil Kahale, Frank Thomson Leighton, Yuan Ma, C. ...
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
14 years 3 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan