Layered Monoidal Theories II: Fibrational Semantics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911469518454784 |
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| author | Lobski, Leo Zanasi, Fabio |
| author_facet | Lobski, Leo Zanasi, Fabio |
| contents | Layered monoidal theories provide a categorical framework for studying scientific theories at different levels of abstraction, via string diagrammatic algebra. We introduce models for three closely related classes of layered monoidal theories: fibrational, opfibrational and deflational theories. We prove soundness and completeness of these theories for the respective models. Our work reveals connections between layered monoidal theories and well-known categorical structures such as Grothendieck fibrations and displayed categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22373 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Layered Monoidal Theories II: Fibrational Semantics Lobski, Leo Zanasi, Fabio Category Theory Logic in Computer Science 18M05, 18M30 F.4.1 Layered monoidal theories provide a categorical framework for studying scientific theories at different levels of abstraction, via string diagrammatic algebra. We introduce models for three closely related classes of layered monoidal theories: fibrational, opfibrational and deflational theories. We prove soundness and completeness of these theories for the respective models. Our work reveals connections between layered monoidal theories and well-known categorical structures such as Grothendieck fibrations and displayed categories. |
| title | Layered Monoidal Theories II: Fibrational Semantics |
| topic | Category Theory Logic in Computer Science 18M05, 18M30 F.4.1 |
| url | https://arxiv.org/abs/2602.22373 |