What languages does this skill support?

It provides implementation patterns and bridges for Scheme, Racket, Rust, and Julia.

What is the Tripartite approach in this skill?

It synthesizes three levels of software design: SICP-style generic dispatch (-1), Racket CTP category axioms (0), and CatColab double theories for concurrent editing (+1).

What is GF(3) conservation in software design?

It is a balancing mechanism used to ensure that extensions across the three parallel worldlines remain consistent and mathematically sound.

How does it handle order dependence in code?

It identifies where temporal assignment causes issues and provides resolutions through category-theoretic associativity and Automerge CRDT patterns.

Category Theory Tripartite

Name: Category Theory Tripartite
Author: plurigrid

byplurigrid

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开发者工具

Implements formal category theory patterns across Scheme, Racket, and Rust to resolve complex software composition and dispatch challenges.

The Category Theory Tripartite skill bridges three distinct computational paradigms—SICP generic dispatch, CTP Racket categories, and CatColab double theories—to provide a unified framework for rigorous software architecture. By leveraging GF(3) conservation and universal properties, it enables developers to transition from fragile, order-dependent code patterns to associative, category-theoretic composition. This skill is essential for engineers building multi-language systems that require formal mathematical foundations for data dispatch, propagator networks, and concurrent model evolution using CRDTs.

主要功能

01Multi-paradigm dispatch bridging SICP, Racket, and Rust/Julia

02Automated verification of GF(3) conservation across worldlines

038 GitHub stars

04Order-independent extension logic via CRDT-based Double Theories

05Formal category theory structures including Functors and Natural Transformations

06Mapping of SDF predicate dispatch to CTP limit-based propagator networks

使用场景

01Architecting highly extensible generic arithmetic or dispatch systems

02Resolving complex temporal ordering bugs in large-scale software design

03Implementing formal mathematical models in production Racket or Rust environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi cat-tripartite

For use in Claude.ai and ChatGPT

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