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'''Bar recursion''' is a generalized form of recursion developed by Spector in his 1962 paper <ref>{{cite book|author=C. Spector|chapter=Provably recursive functionals of analysis: a consistency proof of analysis by an extension of principles in current intuitionistic mathematics|editor=F. D. E. Dekker|title=Recursive Function Theory: Proc. Symoposia in Pure Mathematics|volume=5|pages=1–27|year=1962|publisher=[[American Mathematical Society]]}}</ref>. It is related to [[bar induction]] in the same fashion that [[primitive recursion]] is related to ordinary [[Mathematical induction|induction]], or [[transfinite recursion]] is related to [[transfinite induction]].
==Technical Definition==
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