关于
This skill provides a rigorous mathematical framework for evolving database schemas and migrating data instances between them using Kan extensions. By leveraging the universal properties of Lan and Ran functors, it enables developers to perform seamless forward and backward schema transformations while maintaining structural integrity. It is particularly useful for complex data modeling in research environments, category theory-based software engineering, and managing ACSets (attributed C-sets) where precise data transport and compatibility are critical for maintainability.