What is GF(3) conservation in this context?

It is a mathematical check ensuring that the sum of trits generated across different roles (Spoiler, Duplicator, Referee) remains zero modulo 3, maintaining system balance.

How does hue-to-trit mapping work?

Colors are categorized by hue: 0-60° and 300-360° are Warm (+1), 60-180° are Neutral (0), and 180-300° are Cold (-1).

What is the primary purpose of the Gay-Integration skill?

It integrates the Gay.jl Julia library with bisimulation game semantics to provide a deterministic way to map colors to mathematical trits and ensure GF(3) conservation.

Does this skill support audio output?

Yes, it includes sonification logic to convert Gay.jl color hues into specific audio frequencies for auditory data representation.

Gay.jl Bisimulation Integration

Name: Gay.jl Bisimulation Integration
Author: plurigrid

byplurigrid

•

Data Science & ML

Integrates deterministic color generation with bisimulation game semantics for verifiable GF(3) conservation logic.

The Gay-Integration skill bridges the gap between deterministic color science and theoretical computer science by leveraging Gay.jl to map hue ranges to mathematical trits (-1, 0, +1). It provides a structured framework for ensuring GF(3) conservation across parallel streams, which is essential for verifying observational equivalence in bisimulation games. This skill is particularly useful for developers and researchers working on topological computing, game-theoretic models, and systems requiring verifiable tripartite logic and compositional coherence.

Key Features

01Deterministic hue-to-trit mapping for warm, neutral, and cold colors

02Color-coded context for spoiler, duplicator, and referee game roles

03GF(3) tripartite stream generation with guaranteed zero-sum conservation

042 GitHub stars

05Built-in sonification tools for mapping colors to audio frequencies

06Conservation check utilities for auditing Galois field residues

Use Cases

01Auditing game-theoretic models for mathematical symmetry and balance

02Generating mathematically conserved color streams for topological computing research

03Verifying observational equivalence in bisimulation games using color-coded logic

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi gay-integration

For use in Claude.ai and ChatGPT

Download Skill