What is operadic delegation?

It is a method of delegating tasks between agents using mathematical structures like operads and props to ensure that the order of composition doesn't change the outcome.

Does this support many-to-many agent connections?

Yes, while standard operads are many-to-one, this skill extends to properads and props which facilitate complex many-to-many agent graphs.

How does this skill use GF(3) logic?

It integrates triadic trits (Ergodic, Memory, Remembering) to balance agent roles and verify composition via modular arithmetic (mod 3).

Why is associativity important in AI agent orchestration?

Associativity ensures that joining parallel tasks (A+B)+C is identical to A+(B+C), preventing 'original sin' logic errors in complex, distributed agent workflows.

Operadic Agent Delegation

Name: Operadic Agent Delegation
Author: plurigrid

byplurigrid

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Collaboration Tools

Orchestrates multi-agent workflows using category theory principles to ensure robust, associative many-to-many delegation.

The operadic-delegation skill provides a rigorous framework for complex AI agent orchestration by applying concepts from operads, properads, and props. It ensures that when tasks are joined or delegated across multiple agents, the mathematical property of associativity is strictly preserved—preventing logic errors during parallel composition. By utilizing GF(3) triadic logic and Julia-based verification, this skill allows developers to build scalable, fault-tolerant multi-agent systems where communication channels remain mathematically consistent regardless of how they are nested or branched.

Key Features

01Mathematical guarantee of associativity in multi-agent task joining

02Symmetry-aware full permutation routing with Prop-based structures

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04Automated verification of delegation graph integrity via Julia scripts

05GF(3) triadic integration for balanced coordinator and agent logic

06Support for many-to-one (Operads) and many-to-many (Properads) delegation patterns

Use Cases

01Coordinating complex parallel sub-tasks across a fleet of specialized AI agents

02Verifying the architectural integrity of decentralized autonomous agent networks

03Designing fault-tolerant agent communication protocols where message grouping must remain consistent

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi operadic-delegation

For use in Claude.ai and ChatGPT

Download Skill