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» Deriving Category Theory from Type Theory
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LICS
1991
IEEE
13 years 11 months ago
The Fixed Point Property in Synthetic Domain Theory
We present an elementary axiomatisation of synthetic domain theory and show that it is sufficient to deduce the fixed point property and solve domain equations. Models of these a...
Paul Taylor 0002
MKM
2007
Springer
14 years 1 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
ICALP
2004
Springer
14 years 27 days ago
Towards an Algebraic Theory of Typed Mobile Processes
The impact of types on the algebraic theory of the π-calculus is studied. The type system has capability types. They allow one to distinguish between the ability to read from a c...
Yuxin Deng, Davide Sangiorgi
CTCS
1987
Springer
13 years 11 months ago
Good Functors... are Those Preserving Philosophy
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...
Gilles Bernot

Book
290views
15 years 5 months ago
Type Theory and Functional Programming
"Constructive Type theory has been a topic of research interest to computer scientists, mathematicians, logicians and philosophers for a number of years. For computer scient...
Simon Thompson