Ahrens, Benedikt
[Verfasser:in];
Capriotti, Paolo
[Verfasser:in];
Spadotti, Régis
[Verfasser:in]
;
Benedikt Ahrens and Paolo Capriotti and Régis Spadotti
[Mitwirkende:r]
Anmerkungen:
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Beschreibung:
We prove a conjecture about the constructibility of conductive types - in the principled form of indexed M-types - in Homotopy Type Theory. The conjecture says that in the presence of inductive types, coinductive types are derivable. Indeed, in this work, we construct coinductive types in a subsystem of Homotopy Type Theory; this subsystem is given by Intensional Martin-Löf type theory with natural numbers and Voevodsky's Univalence Axiom. Our results are mechanized in the computer proof assistant Agda.