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ARSCOM
2004
72views more  ARSCOM 2004»
13 years 4 months ago
Exponential lower bounds for the numbers of Skolem-type sequences
It was shown by Abrham that the number of pure Skolem sequences of order n, n 0 or 1 (mod 4), and the number of extended Skolem sequences of order n, are both bounded below by 2 ...
G. K. Bennett, Mike J. Grannell, Terry S. Griggs
JSYML
2007
85views more  JSYML 2007»
13 years 4 months ago
Lower bounds for modal logics
We give an exponential lower bound on number of proof-lines in the proof system K of modal logic, i.e., we give an example of K-tautologies 1, 2, . . . s.t. every K-proof of i must...
Pavel Hrubes
IANDC
2007
66views more  IANDC 2007»
13 years 4 months ago
Exponential lower bounds for the number of words of uniform length avoiding a pattern
We study words on a finite alphabet avoiding a finite collection of patterns. Given a pattern p in which every letter that occurs in p occurs at least twice, we show that the nu...
Jason P. Bell, Teow Lim Goh
BMCBI
2007
153views more  BMCBI 2007»
13 years 4 months ago
Lower bounds on multiple sequence alignment using exact 3-way alignment
Background: Multiple sequence alignment is fundamental. Exponential growth in computation time appears to be inevitable when an optimal alignment is required for many sequences. E...
Charles J. Colbourn, Sudhir Kumar
MOC
2002
75views more  MOC 2002»
13 years 4 months ago
Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the per
This article deals with the digital inversive method for generating uniform pseudorandom numbers. Equidistribution and statistical independence properties of the generated pseudora...
Frank Emmerich