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» Type Classes for Mathematics in Type Theory
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TPHOL
2008
IEEE
14 years 1 months ago
First-Class Type Classes
Abstract. Type Classes have met a large success in Haskell and Isabelle, as a solution for sharing notations by overloading and for specith abstract structures by quantification o...
Matthieu Sozeau, Nicolas Oury
HOA
1993
13 years 11 months ago
Theory Interpretation in Simple Type Theory
Theory interpretation is a logical technique for relating one axiomatic theory to another with important applications in mathematics and computer science as well as in logic itself...
William M. Farmer
CADE
2006
Springer
14 years 7 months ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown
CALCO
2007
Springer
86views Mathematics» more  CALCO 2007»
14 years 1 months ago
Bootstrapping Types and Cotypes in HasCASL
We discuss the treatment of initial datatypes and final process types in the wide-spectrum language HasCASL. In particular, we present specifications that illustrate how datatype...
Lutz Schröder
KES
2006
Springer
13 years 7 months ago
Mathematical Formulation of a Type of Hierarchical Neurofuzzy System
Abstract. This paper presents a class of hierarchical fuzzy system applied to a cigar classification system. The weight, texture and chromatic characteristics are used to classify ...
Omar Sánchez, Sixto Romero, Francisco J. Mo...