On hierarchies of universal predicates

Pavel Hrubes

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On hierarchies of universal predicates

Pavel Hrubes

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Abstract

We investigate a hierarchy of arithmetical structures obtained by a transfinite addition of a canonic universal predicate, where the canonic universal predicate for M is defined as a minimum universal predicate for M in terms of definability. We determine the upper bound of the hierarchy and give a characterisation for the sets definable in the hierarchy.

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BibTeX RIS

Pavel Hrubes. 2007-03-24. On hierarchies of universal predicates. https://arxiv.org/abs/math/0703720

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