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Categorical Comprehensions and Recursion (1501.06889v2)

Published 27 Jan 2015 in math.CT

Abstract: A new categorical setting is defined in order to characterize the subrecursive classes belonging to complexity hierarchies. This is achieved by means of coercion functors over a symmetric monoidal category endowed with certain recursion schemes that imitate the bounded recursion scheme. This gives a categorical counterpart of generalized safe composition and safe recursion.

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