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» A sorting network in bounded arithmetic
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APAL
2011
12 years 12 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»
13 years 10 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 4 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»
13 years 8 months ago
Lower bounds for sorting networks
Nabil Kahale, Frank Thomson Leighton, Yuan Ma, C. ...
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 9 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