How does this skill improve AI reasoning?

By utilizing lens-based abduction and open games, the skill enables bidirectional transformations that allow the AI to perform forward induction and backward constraint propagation for more reflective reasoning.

Does this skill support causal modeling?

Yes, it integrates the 'Ladder of Causality' (Observational, Interventional, and Counterfactual) to help AI systems reason about alternate histories and intervention effects.

What are DiscoHy Operads used for?

DiscoHy Operads provide a network of seven distinct mathematical structures used to manage complex configurations, self-modification, and runtime polymorphism in general intelligence tasks.

What is the 'Pattern runs on Matter' concept?

It is a formal category theory framework where a free monad (representing a Pattern or decision tree) acts as a module over a cofree comonad (representing Matter or behavior trees) to model system execution.

ASI Polynomial Operads

Name: ASI Polynomial Operads
Author: plurigrid

byplurigrid

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데이터 과학 및 ML

Implements advanced category theory frameworks to build compositional, causal, and explainable intelligence systems using polynomial functors and operads.

The ASI Polynomial Operads skill provides a formal mathematical framework for modeling complex interactions and 'compositional intelligence' within Claude. Based on the groundbreaking work of Spivak, Libkind, and Bumpus, it enables the rigorous implementation of 'Pattern runs on matter' by pairing free monads with cofree comonads. This skill is ideal for researchers and developers working on high-integrity dynamical systems, open game theory, and causal modeling, offering sophisticated tools for operadic decomposition, cohomological obstruction analysis, and structured algorithmic design to ensure safety and auditability in AI-driven environments.

주요 기능

01Operadic decomposition using the 7-operad DiscoHy network

027 GitHub stars

03Free monad and cofree comonad module action implementations

04Cohomological obstruction checking for verifying global solution existence

05Open Game theory framework with bidirectional lens-based abduction

06Polynomial functor mapping for complex interaction modeling

사용 사례

01Designing complex dynamical systems with formal safety and update guarantees

02Developing compositional AI agents using open games and the ladder of causality

03Analyzing software architecture through spined categories and tree-shaped decomposition

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