Luigi Liquori and Simona Ronchi Della Rocca

Towards an intersection typed system á la Church

In Proc. 3rd Int'l Workshop Intersection Types & Related Systems (ITRS 2004), 2005 The ITRS '04 proceedings appears as vol. 136 (2005-07-19) of Elec. Notes in Theoret. Comp. Sci.


In this paper, a fully typed lambda calculus based on the well-known intersection type system discipline is presented, based on a type store storing informations about the structures of types and a notion of modality, decorating terms, remembering some informations about the structure of the type assignment proof. The present system is the counterpart á la Church of the type assignment system as invented by Coppo and Dezani


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