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» On Superlinear Lower Bounds in Complexity Theory
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JACM
2002
122views more  JACM 2002»
13 years 6 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
DFG
1992
Springer
13 years 10 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»
13 years 4 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
13 years 10 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»
14 years 6 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