We present the type theory LTT, intended to form a basis for typed target languages, providing an internal notion of logical proposition and proof. The inclusion of explicit proof...
"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...
We consider the problem of reconciling a dependently typed functional language with imperative features such as mutable higher-order state, pointer aliasing, and non-termination. ...
Aleksandar Nanevski, J. Gregory Morrisett, Lars Bi...
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...