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In computer science, corecursion is a type of operation that is dual to (structural) recursion. Whereas recursion consumes a data structure by first handling the topmost layer before descending into its inner parts, corecursion produces a data structure by first defining the topmost layer before defining its inner parts. Corecursion is a particularly important in total languages, as it allows encoding potentially non-terminating computations in a context where every function must terminate. It is supported by theorem provers Agda and Rocq.