What does GF(3) conservation mean in this context?

GF(3) conservation ensures that the sum of values (trits) in a gadget equals zero modulo 3, which acts as a mathematical check to maintain algebraic balance and correctness across the subgraph.

What is the primary purpose of the Three-Match skill?

It reduces 3-SAT problems to 3-coloring constraints using topological gadgets, allowing Claude to solve complex logic problems by ensuring global correctness through local validation.

How does Möbius filtering improve logic processing?

It uses a back-and-forth cancellation mechanism based on the Möbius function to filter out backtracking and composite paths, ensuring only prime, non-repeating geodesics are processed.

What is a non-backtracking geodesic?

It is a path through a graph or color space where no state is revisited, modeled after prime paths in number theory where the Möbius product is non-zero.

Three-Match 3-SAT Solver

Name: Three-Match 3-SAT Solver
Author: plurigrid

byplurigrid

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数据科学与机器学习

Reduces 3-SAT problems to colored subgraph isomorphism using non-backtracking geodesics and Möbius filtering.

The Three-Match skill implements a rigorous mathematical framework for solving Boolean satisfiability (3-SAT) through topological reduction. By leveraging colored subgraph isomorphism, GF(3) conservation, and Möbius inversion, it ensures that local constraints satisfy global correctness by construction. This skill is highly specialized for developers and researchers working with complex graph-based logic, prime path geodesics, and non-backtracking algorithms where computational correctness must be algebraically guaranteed.

主要功能

012 GitHub stars

02Möbius inversion filtering to eliminate backtracking and composite states

033-SAT reduction to 3-coloring via specialized ThreeMatch gadgets

04Non-backtracking geodesic generation to ensure prime pathing

05GF(3) modular conservation for automated verification of local constraints

063-adic valuation analysis for color matching at specific depths

使用场景

01Generating prime, non-backtracking paths for state machines and network routing

02Verifying complex Boolean logic through topological graph reduction

03Implementing self-correcting logic gadgets in decentralized computing environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi three-match

For use in Claude.ai and ChatGPT

Download Skill