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A revised completeness result for the simply typed $λμ$-calculus using realizability semantics (1612.09223v4)
Published 29 Dec 2016 in math.LO and cs.LO
Abstract: In this paper, we define a new realizability semantics for the simply typed lambda-mu-calculus. We show that if a term is typable, then it inhabits the interpretation of its type. We also prove a completeness result of our realizability semantics using a particular term model. This paper corrects some errors in [21] by the first author and Saber.