Does this skill support languages other than Racket?

While the core CTP tutorial and examples are Racket-based, the category theory principles, GF(3) protocols, and topological concepts can be adapted to other functional programming environments.

What is the significance of the Yoneda Lemma in this skill?

It provides the mathematical foundation for understanding objects through their relationships, which is mapped to representable presheaves and efficient data retrieval in complex database schemas.

What is the GF(3) coloring protocol?

It is a trinitarian balance system (+1, -1, 0) used to track file access and ensure compositional coherence within the CTP ecosystem, ensuring the sum of components remains balanced.

How do I view the Category Theory documentation?

You can use the 'just ctp-docs' command to build and open the Racket Scribble documentation locally within the .topos/ctp/ directory.

CTP-Yoneda: Category Theory Programming

Name: CTP-Yoneda: Category Theory Programming
Author: plurigrid

byplurigrid

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Aprendizaje y Documentación

Maps abstract category theory concepts to Racket programming constructs using a GF(3) colored awareness protocol.

The CTP-Yoneda skill integrates Category Theory in Programming (CTP) into the Claude environment, providing a specialized framework for mapping mathematical concepts like functors, natural transformations, and the Yoneda lemma directly to executable code. It utilizes a unique GF(3) balanced coloring system to ensure compositional coherence across software architectures. This skill is particularly useful for developers building complex topological systems, ACSets schemas, or formal algebraic structures in functional programming environments like Racket.

Características Principales

01Racket-based Category Theory implementations for sets, relations, and finite automata

02GF(3) 'Colored Awareness' protocol for balanced architectural coherence

03Automated Racket documentation management and Scribble integration

04Integration with Music-Topos for geometric morphisms and schema migrations

05Formal mapping of the Yoneda Lemma to representable presheaves and data schemas

068 GitHub stars

Casos de Uso

01Architecting complex data schemas using Category Theory principles

02Developing and documenting formal algebraic structures within functional codebases

03Validating software composition through GF(3) balanced trit-based tracking

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi ctp-yoneda

For use in Claude.ai and ChatGPT

Download Skill