In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebr...
The aim of this paper is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (= equational extensions of untype...
An extension of the simply-typed lambda calculus is presented which contains both well-structured inductive and coinductive types, and which also identifies a class of types for w...
We consider terms of simply typed lambda calculus in which copy of a subterm may not be inserted to the argument of itself during the reduction. The terms form wide class which inc...
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...