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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2312.13510 |
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| _version_ | 1866912339175931904 |
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| author | Kreowski, Hans-Jörg Lye, Aaron Windhorst, Aljoscha |
| author_facet | Kreowski, Hans-Jörg Lye, Aaron Windhorst, Aljoscha |
| contents | In this paper, we investigate the relationship between two elementary operations on derivations in the framework of graph transformation based on adhesive categories: moving a derivation along a derivation based on parallel and sequential independence on one hand and restriction of a derivation with respect to a monomorphism into the start object on the other hand. Intuitively, a restriction clips off parts of the start object that are never matched by a rule application throughout the derivation on the other hand. As main result, it is shown that moving a derivation preserves its spine being the minimal restriction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13510 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moving a Derivation Along a Derivation Preserves the Spine in Adhesive Categories Kreowski, Hans-Jörg Lye, Aaron Windhorst, Aljoscha Discrete Mathematics In this paper, we investigate the relationship between two elementary operations on derivations in the framework of graph transformation based on adhesive categories: moving a derivation along a derivation based on parallel and sequential independence on one hand and restriction of a derivation with respect to a monomorphism into the start object on the other hand. Intuitively, a restriction clips off parts of the start object that are never matched by a rule application throughout the derivation on the other hand. As main result, it is shown that moving a derivation preserves its spine being the minimal restriction. |
| title | Moving a Derivation Along a Derivation Preserves the Spine in Adhesive Categories |
| topic | Discrete Mathematics |
| url | https://arxiv.org/abs/2312.13510 |