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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.01952 |
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| _version_ | 1866908933501747200 |
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| author | Coumes, Simon Paris, Pierre-Henri Schwarzentruber, François Suchanek, Fabian |
| author_facet | Coumes, Simon Paris, Pierre-Henri Schwarzentruber, François Suchanek, Fabian |
| contents | We introduce Qiana, a logic framework for reasoning on formulas that are true only in specific contexts. In Qiana, it is possible to quantify over both formulas and contexts to express, e.g., that ``everyone knows everything Alice says''. Qiana also permits paraconsistent logics within contexts, so that contexts can contain contradictions. Furthermore, Qiana is based on first-order logic, and is finitely axiomatizable, so that Qiana theories are compatible with pre-existing first-order logic theorem provers. We show how Qiana can be used to represent temporality, event calculus, and modal logic. We also discuss different design alternatives of Qiana. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01952 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Qiana: A First-Order Formalism to Quantify over Contexts and Formulas with Temporality Coumes, Simon Paris, Pierre-Henri Schwarzentruber, François Suchanek, Fabian Artificial Intelligence We introduce Qiana, a logic framework for reasoning on formulas that are true only in specific contexts. In Qiana, it is possible to quantify over both formulas and contexts to express, e.g., that ``everyone knows everything Alice says''. Qiana also permits paraconsistent logics within contexts, so that contexts can contain contradictions. Furthermore, Qiana is based on first-order logic, and is finitely axiomatizable, so that Qiana theories are compatible with pre-existing first-order logic theorem provers. We show how Qiana can be used to represent temporality, event calculus, and modal logic. We also discuss different design alternatives of Qiana. |
| title | Qiana: A First-Order Formalism to Quantify over Contexts and Formulas with Temporality |
| topic | Artificial Intelligence |
| url | https://arxiv.org/abs/2604.01952 |