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GRC
2010
IEEE
14 years 10 months ago
Local Pattern Mining from Sequences Using Rough Set Theory
Abstract--Sequential pattern mining is a crucial but challenging task in many applications, e.g., analyzing the behaviors of data in transactions and discovering frequent patterns ...
Ken Kaneiwa, Yasuo Kudo
FSS
2010
97views more  FSS 2010»
14 years 8 months ago
An early approach toward graded identity and graded membership in set theory
The paper considers an early approach toward a (fuzzy) set theory with a graded membership predicate and a graded equality relation which had been developed by the German mathemat...
Siegfried Gottwald
CIE
2005
Springer
15 years 3 months ago
Computing a Model of Set Theory
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...
Peter Koepke
JNS
2010
107views more  JNS 2010»
14 years 4 months ago
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics
We consider statistical mechanics systems defined on a set with some symmetry properties (namely, the set admits an action by a group, which is finitely generated and residually fi...
Rafael de La Llave, Enrico Valdinoci
MKM
2007
Springer
15 years 3 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type ...
Feryal Fulya Horozal, Chad E. Brown