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arXiv · 2505.09836

Grzegorczyk Logic Unlocked

Wojciech Aleksander Wołoszyn
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Abstract

The article offers a fresh perspective on Grzegorczyk logic Grz, introducing a simplified axiomatization and extending the analysis to its natural modal extensions, Grz.2 and Grz.3. I develop a control statement theory for these logics, utilizing concepts such as buttons, switches, and ratchets. Through this framework, I establish that Grz.2 is characterized by finite Boolean algebras.

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BibTeXRIS

Wojciech Aleksander Wołoszyn. 2025-05-14. Grzegorczyk Logic Unlocked. https://arxiv.org/abs/2505.09836

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