In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...
SEQUEL is a new-generation functional programming language, which allows the specification of types in a notation based on the sequent calculus. The sequent calculus notation suff...
We formulate a unified display calculus proof theory for the four principal varieties of bunched logic by combining display calculi for their component logics. Our calculi satisfy...
Interpretation of Proofs: Classical Propositional Calculus Martin Hyland DPMMS, Centre for Mathematical Sciences, University of Cambridge, England Representative abstract interpret...