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arxiv: 0905.0371 · v1 · submitted 2009-05-04 · 🧮 math.LO

Complete Types in an Extension of the System AF2

classification 🧮 math.LO
keywords completereductionsystemtypesbetaexpansionextendextension
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In this paper, we extend the system AF2 in order to have the subject reduction for the $\beta\eta$-reduction. We prove that the types with positive quantifiers are complete for models that are stable by weak-head expansion.

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