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arXiv · 1804.02641

A universal Kripke frame for the variable-free fragment of RC$^\nabla$

Lev D. Beklemishev
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Abstract

This note characterizes a universal Kripke frame for the variable-free fragment of the reflection calculus with conservativity operators RC$^\nabla$. The frame here is obtained from the set of all filters on the Ignatiev RC$^\nabla$-algebra which is an isomorphic presentation of the Lindenbaum--Tarski algebra of the variable-free fragment of RC$^\nabla$. We give a constructive `coordinatewise' characterization of the set of filters and of the frame relations corresponding to the modalities of the algebra.

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BibTeXRIS

Lev D. Beklemishev. 2018-04-08. A universal Kripke frame for the variable-free fragment of RC$^\nabla$. https://arxiv.org/abs/1804.02641

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