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Constructibility in higher order arithmetics
Authors:A Sochor
Institution:(1) Mathematical Institute, Academy Sciences of Czech Republic, Zitua 25, 11567 Prague 1, Czech Republic
Abstract:Summary We define and investigate constructibility in higher order arithmetics. In particular we get an interpretation ofn-order arithmetic inn-order arithmetic without the scheme of choice such that isin and the property ldquoto be a well-orderingrdquo are absolute in it and such that this interpretation is minimal among such interpretations.
Keywords:03E45  03F35  03E25
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