What does the Coequalizers skill actually do for my code?

It identifies different parts of your AI's logic that perform the same task and merges them into a single, canonical path, reducing complexity and potential for errors.

Can this skill synchronize multiple AI agents?

Yes, through MCP integration, it can establish behavioral equivalences across different agents so they act as a unified, consistent system.

What is the significance of the GF(3) trit assignment?

GF(3) is a trinary logic system where 0 represents Ergodic (coordinating) behavior. Coequalizers act as the 'bridge' between generators and validators to keep the system balanced.

How does it handle overlapping skill interfaces?

It uses categorical pushouts to glue skills together at their shared interfaces, ensuring that data flows correctly between different modules.

Coequalizer Skill Composition

Name: Coequalizer Skill Composition
Author: plurigrid

byplurigrid

•

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Quotients redundant skill paths and merges behavioral equivalences using category-theoretic colimits to optimize complex AI workflows.

The Coequalizers skill provides a formal mathematical framework for identifying and merging redundant behavioral paths within Claude's skill architecture. By leveraging categorical coequalizers and bisimulation techniques, it allows Claude to recognize when distinct sequences of actions result in functionally identical outcomes, streamlining the overall skill graph. This is essential for advanced multi-agent coordination and high-integrity system design where 'GF(3) conservation'—the balancing of generative, ergodic, and validating behaviors—is required to maintain consistent state across distributed computational environments.

主な機能

01Cross-agent synchronization via Model Context Protocol (MCP) integration

02Behavioral equivalence checking via recursive bisimulation

03Parallel morphism quotienting to eliminate redundant skill logic

04Interface gluing using pushout constructions (coproduct + coequalizer)

05GF(3) trit conservation for ergodic system coordination

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ユースケース

01Simplifying complex AI workflow graphs by identifying functionally equivalent logic paths

02Synchronizing behaviors between multiple autonomous agents to ensure global consistency

03Formalizing overlapping skill interfaces in large-scale modular software architectures

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi coequalizers

For use in Claude.ai and ChatGPT

Download Skill