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arXiv · 0905.0357

A completeness result for the simply typed $λμ$-calculus

Karim Nour·Khelifa Saber
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Abstract

In this paper, we define a realizability semantics for the simply typed $λμ$-calculus. We show that if a term is typable, then it inhabits the interpretation of its type. This result serves to give characterizations of the computational behavior of some closed typed terms. We also prove a completeness result of our realizability semantics using a particular term model.

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Karim Nour, Khelifa Saber. 2009-05-04. A completeness result for the simply typed $λμ$-calculus. https://arxiv.org/abs/0905.0357

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