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Intersection Types for the lambda-mu Calculus
[article]

2017
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arXiv
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pre-print

We introduce an intersection type system for the lambda-mu calculus that is invariant under subject reduction and expansion. The system is obtained by describing Streicher and Reus's denotational model of continuations in the category of omega-algebraic lattices via Abramsky's domain-logic approach. This provides at the same time an interpretation of the type system and a proof of the completeness of the system with respect to the continuation models by means of a filter model construction. We

arXiv:1704.00272v2
fatcat:lwx7666epbhkxd7woj4ng3bj2m