Localizing Finite-Depth Kripke Models
Logic
2017-10-25 v1
Abstract
We can look at a first-order (or propositional) intuitionistic Kripke model as an ordered set of classical models. In this paper, we show that for a finite-depth Kripke model in an arbitrary first-order language or propositional language, local (classical) truth of a formula is equivalent to non-classical truth (truth in the Kripke semantics) of a Friedman's translation of that formula, i.e. . We introduce some applications of this fact. We extend the result of [Ardeshir and Hessam 2002] and show that semi-narrow Kripke models of Heyting Arithmetic are locally .
Keywords
Cite
@article{arxiv.1710.08730,
title = {Localizing Finite-Depth Kripke Models},
author = {Mojtaba Mojtahedi},
journal= {arXiv preprint arXiv:1710.08730},
year = {2017}
}