What are non-backtracking geodesics in this context?

These are 'prime' paths through a color space where no state is revisited, ensured by Möbius inversion which cancels out backtracking or 'composite' paths.

How does it ensure solution correctness?

It utilizes a 'correct-by-construction' methodology where satisfying local GF(3) conservation and non-backtracking geodesic constraints mathematically guarantees a global solution.

What is GF(3) conservation?

It is a constraint where the sum of trits (values representing colors) must be equivalent to 0 modulo 3, ensuring valid local coloring matches.

Three-Match Topological SAT Solver

Name: Three-Match Topological SAT Solver
Author: plurigrid

byplurigrid

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데이터 과학 및 ML

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

Three-Match is a specialized mathematical skill that implements a rigorous reduction of 3-SAT problems into 3-coloring and colored subgraph isomorphism tasks. By leveraging GF(3) conservation, prime paths, and Möbius inversion filtering, it ensures that local geodesic constraints result in global correctness by construction. This skill is ideal for developers and researchers working in complexity theory, topological computing, and advanced algorithmic optimization who require verifiable, non-backtracking solutions to NP-complete problems.

주요 기능

012 GitHub stars

02Provides a 'correct-by-construction' framework for global satisfiability

03Reduces 3-SAT clauses to 3-coloring constraints via specialized gadgets

04Ensures GF(3) conservation (sum ≡ 0 mod 3) for verifiable local constraints

05Implements non-backtracking geodesics to ensure unique state paths

06Uses Möbius inversion filtering to eliminate backtracking in sequence generation

사용 사례

01Implementing topological constraints in algorithmic design and chemputer simulations

02Solving Boolean satisfiability (3-SAT) problems through graph-based reductions

03Verifying colored subgraph isomorphism properties in complex networks

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