Capretta , Venanzio and Uustalu , Tarmo ( 2016 ) A coalgebraic view of bar recursion and bar induction

Abstract

We reformulate the bar recursion and induction principles in terms of recursive and wellfounded coalgebras. Bar induction was originally proposed by Brouwer as an axiom to recover certain classically valid theorems in a constructive setting. It is a form of induction on nonwellfounded trees satisfying certain properties. Bar recursion, introduced later by… (More)

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