A coalgebraic view of bar recursion and bar induction
Capretta, Venanzio and Uustalu, Tarmo (2016) A coalgebraic view of bar recursion and bar induction. Lecture Notes in Computer Science, 9634 . pp. 91-106. ISSN 0302-9743
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 non- wellfounded trees satisfying certain properties. Bar recursion, introduced later by Spector, is the corresponding function defnition principle.
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