100 search results - page 2 / 20 » In the Search of a Naive Type Theory |
CADE
2006
Springer
14 years 5 months ago
2006
Springer
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...
CADE
2005
Springer
14 years 5 months ago
2005
Springer
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
ICFP
2005
ACM
14 years 4 months ago
2005
ACM
module is a programming abstraction that simultaneously generalizes -abstractions, records, and mutually recursive definitions. Although various mixin module type systems have bee...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
CTCS
1987
Springer
13 years 8 months ago
1987
Springer
of this paper is to prevent the abstract data type researcher from an improper, naive use of category theory. We mainly emphasize some unpleasant properties of the synthesis funct...