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Intersection Typed λ-calculus

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Abstract

The aim of this paper is to discuss the design of an explicitly typed λ-calculus corresponding to the Intersection Type Assignment System (IT) which assigns intersection types to the untyped λ-calculus. Two different proposals are given. The logical foundation of all of them is the Intersection Logic IL.

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1

partially supported by MIUR-cofin-2000 “Linear Logic and Beyond”

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partially supported by EC-TMR project “Linear Logic”

3

partially supported by IST-2001-33477 DART Project