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arXiv · 2312.13510

Moving a Derivation Along a Derivation Preserves the Spine in Adhesive Categories

Hans-Jörg Kreowski·Aaron Lye·Aljoscha Windhorst
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Abstract

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.

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Hans-Jörg Kreowski, Aaron Lye, Aljoscha Windhorst. 2023-12-21. Moving a Derivation Along a Derivation Preserves the Spine in Adhesive Categories. https://doi.org/10.46298/lmcs-21(2%3A4)2025

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