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This skill enables advanced structural mutations of world states by synthesizing category theory with practical database operations. It provides a robust framework for generating operadic moves using DisCoPy string diagrams, executing atomic graph-grafting transactions in DuckDB, and verifying the semantic integrity of transformations through arbitrage measurement and GF(3) balance checks. It is designed for developers working on sophisticated modeling environments, generative systems, or complex topological simulations where mathematical consistency and post-rigorous verification are essential.
