Can this skill be used for automated testing?

Yes, it includes gadgets for colored subgraph verification which can be integrated into testing suites for formal logic and constraint-heavy applications.

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

It reduces 3-SAT problems into 3-coloring problems using colored subgraph isomorphism, ensuring that satisfying local constraints leads to global logical correctness.

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

It refers to a constraint where the sum of trits (values in base 3) must be equivalent to 0 mod 3, serving as a mathematical anchor for gadget validity.

How does Möbius filtering improve logic processing?

It uses Möbius inversion to filter out backtracking or 'composite' paths, ensuring the algorithm only processes 'prime' paths that do not revisit states.

Three-Match Topological 3-SAT Solver

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

byplurigrid

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Data Science & ML

Reduces complex 3-SAT problems to colored subgraph isomorphisms using topological geodesics and Möbius filtering.

About

The Three-Match skill provides a robust mathematical framework for solving boolean satisfiability (3-SAT) through the lens of topological graph theory. By mapping 3-SAT to 3-coloring and colored subgraph isomorphism, it leverages GF(3) conservation and Möbius inversion to guarantee global correctness via local constraints. This skill is essential for developers and researchers working on combinatorial optimization, formal verification, or topological computing where non-backtracking prime paths are required to navigate complex state spaces without redundancy.

Key Features

3-adic valuation for multi-depth color matching
Non-backtracking geodesic generation using prime paths
3-SAT to Colored Subgraph Isomorphism reduction
2 GitHub stars
Möbius inversion filtering for sequence purification
GF(3) conservation verification for constraint satisfaction

Use Cases

Researching topological computing and chemputer logic implementation
Formal verification of logical constraints in complex software systems
Optimization of graph-based state machines and routing protocols

About

Key Features

3-adic valuation for multi-depth color matching
Non-backtracking geodesic generation using prime paths
3-SAT to Colored Subgraph Isomorphism reduction
2 GitHub stars
Möbius inversion filtering for sequence purification
GF(3) conservation verification for constraint satisfaction

Use Cases

Researching topological computing and chemputer logic implementation
Formal verification of logical constraints in complex software systems
Optimization of graph-based state machines and routing protocols