What are Open Games in this context?

Open games are compositional frameworks for game theory that use lenses to model forward-state induction and backward-constraint abduction for multi-agent systems.

What are polynomial functors used for in this skill?

Polynomial functors provide a general theory of interaction, allowing you to model positions and directions as dependent lenses for complex, modular systems.

How does the 'Pattern runs on Matter' concept work?

It uses a module action where free monads (decision trees/patterns) are paired with cofree comonads (behavior trees/matter) to execute logic on dynamic substrates.

Can this skill help with causal modeling?

Yes, it incorporates structural causal models and the 'ladder of causality' to support interventional and counterfactual reasoning within AI architectures.

ASI Polynomial Operads

Name: ASI Polynomial Operads
Author: plurigrid

byplurigrid

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データサイエンスとML

Implements category-theoretic frameworks for compositional intelligence, dynamical systems, and open game theory.

This skill provides a comprehensive implementation of polynomial functors and operadic decomposition based on state-of-the-art research in Applied Category Theory (ACT). It allows developers to model complex interactions where 'patterns' (represented by free monads) run on 'matter' (represented by cofree comonads), facilitating the creation of modular, explainable, and scalable AI architectures. By integrating open games, dynamical systems, and cohomological obstructions, it enables rigorous structural modeling for artificial general intelligence, multi-agent coordination, and causal reasoning.

主な機能

01Polynomial functor and dependent lens implementation for interaction modeling

02Free monad and cofree comonad module actions (Pattern runs on Matter)

03Compositional algorithms with structured decomposition and complexity bounds

047 GitHub stars

05Integration with DiscoHy operads for relational and dynamical system design

06Open game theory support for multi-agent equilibrium and agency modeling

ユースケース

01Modeling complex dynamical systems with wiring diagram compositions

02Building explainable and auditable General Intelligence (AGI) systems

03Designing compositional game theory models for multi-agent coordination

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi asi-polynomial-operads

For use in Claude.ai and ChatGPT

Download Skill