A Realizability Model for Impredicative Hoare Type Theory

R.L. Petersen
L. Birkedal
A. Nanevski
G. Morrisett

September 2007

Abstract

We present a denotational model of impredicative Hoare Type Theory, a very expressive dependent type theory in which one can specify and reason about mutable abstract data types. The model ensures soundness of the extension of Hoare Type Theory with impredicative polymorphism; makes the connections to separation logic clear, and provides a basis for investigation of further sound extensions of the theory, in particular equations between computations and types.

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Technical report TR-2007-101 in IT University Technical Report Series, September 2007.

Available as PDF.