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arXiv · 2203.08583

Conservativity spectra and generalized Ignatiev model

Lev D. Beklemishev
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Abstract

We study a generalization of the notion of conservativity spectrum of an arithmetical theory to a language with transfinitely many truth definitions. We establish a correspondence of conservativity spectra and points of a generalized Ignatied model introduced and studied by D. Fern\'andez-Duque and J. Joosten. We also prove the so-called Schmerl formulas for iterated reflection principles of predicative strength.

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BibTeXRIS

Lev D. Beklemishev. 2022-03-16. Conservativity spectra and generalized Ignatiev model. https://arxiv.org/abs/2203.08583

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