Linear Logic and Logical Paradigms of Computation

African Institute for Mathematical Sciences (AIMS) Michel Waldschmidt, Sorbonne Universit´ e..

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We define two intersection type systems for the pure, untyped, probabilistic λ-calculus, and prove that type derivations precisely reflect the probability of convergence of the

In this course we show how some linear properties of Banach spaces, in particular properties related to the asymptotic structure of Banach spaces, are stable under

The call by value monadic intersection types for the proba- bilistic lambda calculus are arrow types a →A , where a is a set of intersection type and B is a distribution over sets

showing how filters of intersection types can be used to produce models of various source typing systems; [CS07] provides a modular proof that λ-terms that are typable in

We present a typing system with non-idempotent intersection types, typing a term syntax covering three different calculi: the pure λ-calculus, the calculus with explicit

Give all the solution of this