Tripartite Decompositions

Trit: 0 (ERGODIC - coordinates decomposition)
Foundation: StructuredDecompositions.jl + GF(3) conservation
Principle: Every problem decomposes into 3 parts summing to 0 mod 3

Core Concept

A tripartite decomposition is a structured decomposition where:

1. The decomposition shape is a 3-clique (triangle)
2. Each bag is labeled with a trit ∈ {-1, 0, +1}
3. Adhesions preserve GF(3) conservation: Σ trits ≡ 0 (mod 3)