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MKM
2007
Springer
13 years 11 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
IJAR
2006
241views more  IJAR 2006»
13 years 4 months ago
Spatial reasoning under imprecision using fuzzy set theory, formal logics and mathematical morphology
In spatial reasoning, in particular for applications in image understanding, structure recognition and computer vision, a lot of attention has to be paid to spatial relationships ...
Isabelle Bloch
SAC
2008
ACM
13 years 4 months ago
Adding background knowledge to formal concept analysis via attribute dependency formulas
We present a way to add user's background knowledge to formal concept analysis. The type of background knowledge we deal with relates to relative importance of attributes in ...
Radim Belohlávek, Vilém Vychodil
HICSS
2002
IEEE
130views Biometrics» more  HICSS 2002»
13 years 10 months ago
A Set Theory Based Approach on Applying Domain Semantics to XML Structures
As XML is gathering more and more importance in the field of data interchange in distributed business to business (B2B) applications, it is increasingly important to provide a for...
Wolfgang Schuetzelhofer, Karl M. Göschka
TYPES
2000
Springer
13 years 8 months ago
Collection Principles in Dependent Type Theory
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
Peter Aczel, Nicola Gambino