337 search results - page 7 / 68 » Type Classes for Mathematics in Type Theory |
APAL
2010
13 years 7 months ago
2010
A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...
ESOP
2000
Springer
13 years 11 months ago
2000
Springer
Abstract. Type classes in Haskell allow programmers to define functions that can be used on a set of different types, with a potentially different implementation in each case. For ...
POPL
2005
ACM
14 years 7 months ago
2005
ACM
Haskell's type classes allow ad-hoc overloading, or typeindexing, of functions. A natural generalisation is to allow type-indexing of data types as well. It turns out that th...
ICFP
2002
ACM
14 years 7 months ago
2002
ACM
We propose an extension of Haskell's type class system with bstractions in the type language. Type inference for our extension relies on a novel constrained unification proce...
CORR
2006
Springer
13 years 7 months ago
2006
Springer
In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...