Sheaf toposes for realizability

We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms to study the relationship between realizability models over different partial combinatory algebras. This research is part of the Logic of Types and Computation project at Carnegie Mellon University under the direction of Dana Scott.

• Type: Journal
• Year: 2008
• Where: AML
• Authors: Steven Awodey, Andrej Bauer
• Keywords: AML 2008, Partial Combinatory Algebras, Realizability Models, Sheaf Toposes