Priestley-style duality for filter-distributive congruential logics
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866912641208811520 |
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| author | Esteban, María Jansana, Ramon |
| author_facet | Esteban, María Jansana, Ramon |
| contents | We first present a Priestley-style dualitiy for the classes of algebras that are the algebraic counterpart of some congruential, finitary and filter-distributive logic with theorems. Then we analyze which properties of the dual spaces correspond to properties that the logic might enjoy, like the deduction theorem or the existence of a disjunction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_00999 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Priestley-style duality for filter-distributive congruential logics Esteban, María Jansana, Ramon Logic We first present a Priestley-style dualitiy for the classes of algebras that are the algebraic counterpart of some congruential, finitary and filter-distributive logic with theorems. Then we analyze which properties of the dual spaces correspond to properties that the logic might enjoy, like the deduction theorem or the existence of a disjunction. |
| title | Priestley-style duality for filter-distributive congruential logics |
| topic | Logic |
| url | https://arxiv.org/abs/2003.00999 |