What is graph grafting in this context?

Graph grafting is the process of translating abstract categorical moves into concrete database mutations (using DuckDB) to insert, delete, or rewrite subgraphs.

What does the semantic-grafting-verifier do?

It verifies that mutations are sound by checking GF(3) balance, ensuring reafference loops close, and measuring if the move provides positive epistemic arbitrage.

How is arbitrage measured in world transformations?

Arbitrage is calculated by comparing the prediction entropy of the world state before and after the transformation, multiplied by the probability of the new state's correctness.

What is Triad 4 in the Categorical Rewriting architecture?

Triad 4 is the final stage of a four-step cycle (Foundation, Molding, Hopping, Rewriting) focused on the concrete categorical transformation of world states.

How does this skill use DisCoPy?

It uses DisCoPy to represent world transformations as morphisms and string diagrams, allowing for operadic composition of multiple simultaneous moves.

Categorical World Rewriting (Triad 4)

Name: Categorical World Rewriting (Triad 4)
Author: plurigrid

byplurigrid

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データサイエンスとML

Orchestrates complex world-state transformations using categorical rewriting, graph grafting, and formal semantic verification.

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.

主な機能

01Operadic move generation using DisCoPy string diagrams

022 GitHub stars

03Atomic graph grafting and mutation engine powered by DuckDB

04GF(3) balance enforcement to ensure structural conservation

05Epistemic arbitrage calculation to prioritize high-value state changes

06Semantic verification using Dialectica and post-rigorous reasoning

ユースケース

01Formal verification of structural changes in ACSet-based data models

02Generative music systems utilizing harmonic topos rewriting

03Managing complex state transitions in topological simulation environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi categorical-rewriting-triad4

For use in Claude.ai and ChatGPT

Download Skill