Grzegorczyk Logic Unlocked
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917275016101888 |
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| author | Wołoszyn, Wojciech Aleksander |
| author_facet | Wołoszyn, Wojciech Aleksander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09836 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Grzegorczyk Logic Unlocked Wołoszyn, Wojciech Aleksander Logic 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. |
| title | Grzegorczyk Logic Unlocked |
| topic | Logic |
| url | https://arxiv.org/abs/2505.09836 |