How does hue-to-trit mapping work?

It categorizes colors by hue: Warm colors (Red/Orange) map to +1, Neutral (Green/Cyan) to 0, and Cold (Blue/Purple) to -1.

Does this skill support audio output?

Yes, it includes sonification logic that converts Gay.jl color hues into specific audio frequencies for auditory data analysis.

What is the primary purpose of the gay-integration skill?

It integrates the Gay.jl library with bisimulation games to map colors to ternary digits (trits) for formal system verification.

What is GF(3) conservation in this context?

It is a mathematical check ensuring that the sum of trits in a color stream equals zero modulo 3, maintaining the structural integrity of the game.

Gay.jl Color & Trit Integration

Name: Gay.jl Color & Trit Integration
Author: plurigrid

byplurigrid

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Data Science & ML

Integrates deterministic color generation with bisimulation game semantics and GF(3) conservation verification.

This skill provides a specialized bridge between Gay.jl deterministic color generation and formal bisimulation game semantics. It implements a rigorous hue-to-trit mapping system that classifies colors into ternary values (-1, 0, +1), facilitating mathematical verification of complex systems through color streams. By enforcing GF(3) conservation, it allows researchers and developers to ensure compositional coherence in topological models, observational equivalence games, and category-theoretic structures, complete with sonification capabilities for auditing data through audio frequencies.

Key Features

01Color-to-audio frequency sonification for data monitoring

02Bisimulation game color context and role-based move tracking

038 GitHub stars

04GF(3) tripartite stream generation with guaranteed conservation

05Hue-to-trit classification for warm, neutral, and cold colors

06Automated GF(3) residue and conservation checking

Use Cases

01Implementing deterministic color-coded logic in Julia-based research

02Sonifying visual data streams for accessibility or real-time auditing

03Verifying mathematical consistency in formal bisimulation games

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