EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 82(96), pp. 85–91 (2007)

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INTERSECTION TYPES FOR $\lambda^{\mathsf{Gtz}}$-CALCULUS

S. Ghilezan and J. Ivetic

Tehnicki fakultet, 21000 Novi Sad, Serbia

Abstract: We introduce an intersection type assignment system for the Espirito-Santo's $\lambda^{\mathsf{Gtz}}$-calculus, a term calculus embodying the Curry–Howard correspondence for the intuitionistic sequent calculus. We investigate basic properties of this intersection type system. Our main result is Subject reduction property.

Classification (MSC2000): 03B40; 68N18

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