Abstract

PARRA-LONDONOA, CARLOS  and  MEJIA-GUZMAN, DIEGO. Recursion, induction and well-founded orders. Integración - UIS [online]. 2011, vol.29, n.2, pp.143-150. ISSN 0120-419X.

Abstract. Based on the characterization of the set of natural numbers by the recursion property, developed in [2], we prove in a general setting that the properties of recursion, induction and well-foundedness are equivalent for a given set. This result is extended to classes and is used to give another proof of the characterization of the set of natural numbers by recursion.

Keywords : recursion; induction; well-founded order.

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