What does 'dynamic sufficiency gating' mean?

It is a safety mechanism that prevents the generation of artifacts unless the underlying discussion provides enough context, verified via ε-machine coverage scores.

What is the primary source of knowledge for zulip-cogen?

It utilizes a curated archive of over 121,000 messages from Category Theory Zulip discussions to find context for code generation.

Can I generate diagrams with this skill?

Yes, it can transform structural descriptions into Mermaid or tikz-cd diagrams suitable for documentation or academic papers.

How do I target a specific topic for generation?

You can use the --pond flag to specify a specific stream or topic cluster, such as 'theory:category-theory' or 'theory:topos-theory'.

Which programming languages are supported for implementations?

The skill primarily generates code for Julia and Python, with a specific focus on Category Theory-related libraries like AlgebraicJulia.

Zulip Category Theory Code Generator

Name: Zulip Category Theory Code Generator
Author: plurigrid

byplurigrid

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Learning & Documentation

Generates formal proofs, diagrams, and implementations from Category Theory Zulip discussions using context-aware gating.

The zulip-cogen skill bridges the gap between high-level mathematical discussions and executable code by mining the Category Theory Zulip archive. Leveraging a database of over 121,000 messages, it uses ε-machine coverage to ensure generation only occurs when sufficient context is available. It is particularly useful for researchers and developers working with Lean4, AlgebraicJulia, or formal category theory, providing a pipeline to transform informal chat threads into rigorous theorems, Mermaid diagrams, or functional code implementations. By integrating with 'ponds' of knowledge, it ensures that every generated artifact is backed by community-verified witnesses.

Key Features

01Deterministic Artifact Styling: Uses hash-based coloring for consistent visual representation of generated code.

02Lean4 Theorem Generation: Converts math discussions into formal proofs.

03Dynamic Sufficiency Gating: Employs ε-machine coverage to ensure context sufficiency before synthesis.

04Pond-based Retrieval: Filters knowledge extraction by specific topical 'ponds' or Zulip streams.

05Multi-format Output: Supports Mermaid diagrams, Julia implementations, and ACSet schemas.

062 GitHub stars

Use Cases

01Converting informal Category Theory chat threads into formal Lean4 code for mathematical verification.

02Generating architectural Mermaid diagrams from structural descriptions found in Zulip archives.

03Prototyping mathematical algorithms in Julia based on community-discussed Kan extensions or limits.

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi zulip-cogen

For use in Claude.ai and ChatGPT

Download Skill