Modal Matters in Interpretability Logics

Evan Goris; Joost J. Joosten

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arXiv · 2004.06966

Modal Matters in Interpretability Logics

Evan Goris·Joost J. Joosten

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Abstract

This paper from 2008 is the first in a series of three related papers on modal methods in interpretability logics and applications. In this first paper the foundations are laid for later results. These foundations consist of a thorough treatment of a construction method to obtain modal models. This construction method is used to reprove some known results in the area of interpretability like the modal completeness of the logic ${\textbf{IL}}$. Next, the method is applied to obtain new results: the modal completeness of the logic ${\textbf{IL}}{\sf M_0}$, and modal completeness of ${\textbf{IL}}({\sf W^*})$.

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Evan Goris, Joost J. Joosten. 2020-04-15. Modal Matters in Interpretability Logics. https://arxiv.org/abs/2004.06966

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