We give a necessary and sufficient condition in order that a typeshifting automorphism be constructed on a model of the Theory of Simple Types (TST) by forcing. Namely it is prove...
This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
The definition of type equivalence is one of the most important design issues for any typed language. In dependentlytyped languages, because terms appear in types, this definition...
The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Paint...
Jaroslaw Grytczuk, Mariusz Haluszczak, Henry A. Ki...
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...