@MISC{Coquand_arealizability, author = {Catarina Coquand}, title = {A realizability interpretation of Martin-Löf's type theory}, year = {} }
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Abstract
In this paper we present a simple argument for normalization of the fragment of Martin-Löf's type theory that contains the natural numbers, dependent function types and the first universe. We do this by building a realizability model of this theory which directly reflects that terms and types are generated simultaneously.