Naive cubical type theory release_jxqahdqi2zaz7iehsi5z5bi66m

by Bruno Bentzen

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This paper proposes a way of doing type theory informally, assuming a cubical style of reasoning. It can thus be viewed as a first step toward a cubical alternative to the program of informalization of type theory carried out in the homotopy type theory book for dependent type theory augmented with axioms for univalence and higher inductive types. We adopt a cartesian cubical type theory proposed by Angiuli, Brunerie, Coquand, Favonia, Harper, and Licata as the implicit foundation, confining our presentation to elementary results such as function extensionality, the derivation of weak connections and path induction, the groupoid structure of types, and the Eckmman-Hilton duality.
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Type  article
Stage   submitted
Date   2021-05-09
Version   v2
Language   en ?
arXiv  1911.05844v2
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