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» On Superlinear Lower Bounds in Complexity Theory
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78
Voted
JACM
2002
122views more  JACM 2002»
14 years 9 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
116
Voted
DFG
1992
Springer
15 years 1 months ago
Complexity of Boolean Functions on PRAMs - Lower Bound Techniques
Determining time necessary for computing important functions on parallel machines is one of the most important problems in complexity theory for parallel algorithms. Recently, a s...
Miroslaw Kutylowski
CC
2010
Springer
282views System Software» more  CC 2010»
14 years 7 months ago
Lower Bounds on the Randomized Communication Complexity of Read-Once Functions
Abstract. We prove lower bounds on the randomized two-party communication complexity of functions that arise from read-once boolean formulae. A read-once boolean formula is a formu...
Nikos Leonardos, Michael Saks
ICALP
1999
Springer
15 years 1 months ago
Average-Case Complexity of Shellsort
We demonstrate an ⍀( pn1ϩ1/p) lower bound on the average-case running time (uniform distribution) of p-pass Shellsort. This is the first nontrivial general lower bound for avera...
Tao Jiang, Ming Li, Paul M. B. Vitányi
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
15 years 9 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman