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JACM
2002
122views more  JACM 2002»
15 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
AMC
2007
108views more  AMC 2007»
15 years 6 months ago
How robust are average complexity measures? A statistical case study
: Average case analysis forms an interesting and intriguing part of algorithm theory since it explains why some algorithms with bad worst-case complexity can better themselves in p...
Soubhik Chakraborty, Suman Kumar Sourabh
ECAL
1995
Springer
15 years 10 months ago
Elements of a Theory of Simulation
Arti cial Life and the more general area of Complex Systems does not have a uni ed theoretical framework although most theoretical work in these areas is based on simulation. This ...
Steen Rasmussen, Christopher L. Barrett
FOCS
2005
IEEE
16 years 2 days ago
On the Complexity of Real Functions
We establish a new connection between the two most common traditions in the theory of real computation, the Blum-Shub-Smale model and the Computable Analysis approach. We then use...
Mark Braverman
JMIV
2002
152views more  JMIV 2002»
15 years 6 months ago
Shape Connectivity: Multiscale Analysis and Application to Generalized Granulometries
This paper develops a multiscale connectivity theory for shapes based on the axiomatic definition of new generalized connectivity measures, which are obtained using morphology-base...
Costas S. Tzafestas, Petros Maragos