Derangement-CRDT Skill

Status: ✅ Production Ready Trit: ERGODIC (0) Integration: CRDT, Gay.jl, Join-Semilattice

Core Concept

A derangement is a permutation σ where σ(i) ≠ i for all i (no fixed points). A colorable derangement CRDT assigns GF(3) colors to derangement cycles, ensuring merge operations preserve both the derangement property and color conservation.

Derangement: (1 2 3) → (2 3 1)  ✓ no fixed points
Fixed point: (1 2 3) → (1 3 2)  ✗ position 1 is fixed

Mathematical Foundation