337 search results - page 5 / 68 » Type Classes for Mathematics in Type Theory |
JAPLL
2006
13 years 7 months ago
2006
For twenty years the Nuprl ("new pearl") system has been used to develop software systems and formal theories of computational mathematics. It has also been used to expl...
TPHOL
1997
IEEE
13 years 11 months ago
1997
IEEE
Type classes and overloading are shown to be independent concepts that can both be added to simple higher-order logics in the tradition of Church and Gordon, without demanding more...
JAPLL
2008
13 years 7 months ago
2008
Simple type theory, also known as higher-order logic, is a natural extension of first-order logic which is simple, elegant, highly expressive, and practical. This paper surveys th...
ECOOP
2003
Springer
14 years 18 days ago
2003
Springer
We design and study νObj, a calculus and dependent type system for objects and classes which can have types as members. Type can be aliases, abstract types, or new types. The type...
CIE
2007
Springer
14 years 1 months ago
2007
Springer
Abstract. We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introduced in a previous paper with G. Sambin, enriched with proof-irrelevanc...