What is Topos Logic in the context of Claude Code?

It is a specialized skill that allows Claude to apply category theory principles, specifically cartesian closed categories and subobject classifiers, to logical reasoning and code structure.

Does this skill support OCaml?

Yes, the skill includes OCaml implementations (omega.ml and power.ml) for representing logical foundations and power objects.

What is a subobject classifier?

In a topos, a subobject classifier generalizes the concept of truth values, allowing for more nuanced logic than simple true/false statements, which is essential for complex modeling.

How does 'Cartesian Closed' concepts improve my code?

Cartesian closed categories provide a formal basis for function abstraction and product types, leading to more robust and mathematically sound software architectures.

When should I use the Topos Logic skill?

Use this skill when working on formal systems, advanced functional programming, or projects requiring non-standard logical frameworks beyond basic Boolean algebra.

Topos Logic

Name: Topos Logic
Author: plurigrid

byplurigrid

•

개발자 도구

Implements category-theoretic logic frameworks using cartesian closed categories and subobject classifiers for advanced formal reasoning.

Topos Logic provides a formal mathematical framework for Claude to reason using Category Theory principles. By implementing cartesian closed categories and subobject classifiers (Omega), this skill enables advanced logical operations, functional programming patterns, and internal language reasoning within a topological context. It is particularly useful for developers and researchers working on formal verification, symbolic AI, complex type systems, or computational chemistry where standard Boolean logic is insufficient for modeling system behaviors.

주요 기능

01Topological data structure manipulation for complex systems

028 GitHub stars

03Cartesian closed category (CCC) modeling for functional abstraction

04Subobject classifier implementation for generalized truth values

05Support for intuitionistic logic and internal languages

06Formal logic foundations via OCaml-based definitions

사용 사례

01Formal verification of software architectures using category theory

02Developing custom type systems or domain-specific languages (DSLs)

03Modeling non-Boolean logical relationships in symbolic AI projects

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi topos-logic

For use in Claude.ai and ChatGPT

Download Skill