How does it integrate with other scientific tools?

It connects to the Music-Topos implementation for schema migration and links to Graph Theory tools like NetworkX via bicomodule structures.

Can I use this for finite automata modeling?

Yes, the skill includes examples for modeling Deterministic (DFA) and Nondeterministic (NFA) finite automata as functors.

Does this skill support the Yoneda Lemma?

Yes, the skill focuses specifically on the Yoneda Lemma, implementing the insight that objects are determined by their relationships to all other objects in a category.

What is GF(3) colored awareness?

It is a deterministic protocol that assigns colors and 'trit' values (-1, 0, +1) to file interactions, ensuring a balanced and coherent session state according to modular arithmetic.

What is the primary purpose of the ctp-yoneda skill?

It is designed to map abstract Category Theory concepts, such as functors and natural transformations, into executable Racket code for formal modeling and educational purposes.

CTP-Yoneda Category Theory Skill

Name: CTP-Yoneda Category Theory Skill
Author: plurigrid

byplurigrid

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Learning & Documentation

Maps abstract Category Theory concepts to Racket programming constructs using a unique GF(3) colored awareness system.

About

The ctp-yoneda skill provides a specialized framework for working with Category Theory in Programming (CTP). By mapping high-level mathematical abstractions like functors, natural transformations, and the Yoneda Lemma to practical Racket code, it allows developers to build and reason about complex systems using formal topological methods. It features a unique GF(3) balancing protocol for file interactions and integrates deeply with scientific ecosystems like Music-Topos and Graph Theory, making it ideal for researchers and software architects focused on formal verification, mathematical modeling, and compositional software design.

Key Features

Deterministic GF(3) colored awareness protocol for session coherence
Deep integration with scientific bibliographies and universal graph hubs
Comprehensive Racket-based library for Category Theory implementation
2 GitHub stars
Implementation of the Yoneda Lemma for relational object mapping
Support for modeling Finite Automata (DFA, NFA) as categorical functors

Use Cases

Designing robust, compositional software architectures using formal monads and adjunctions
Modeling complex data schemas and system migrations as categorical morphisms
Learning abstract Category Theory through executable and interactive Racket code examples

About

Key Features

Deterministic GF(3) colored awareness protocol for session coherence
Deep integration with scientific bibliographies and universal graph hubs
Comprehensive Racket-based library for Category Theory implementation
2 GitHub stars
Implementation of the Yoneda Lemma for relational object mapping
Support for modeling Finite Automata (DFA, NFA) as categorical functors

Use Cases

Designing robust, compositional software architectures using formal monads and adjunctions
Modeling complex data schemas and system migrations as categorical morphisms
Learning abstract Category Theory through executable and interactive Racket code examples