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GENESIS OPERATOR-FORMING UNIT · SERIAL ····

TEACH IT A RULE.

Give the engine a few examples of a transformation it has never seen. Watch it construct, validate, lock, and reuse an executable solution — then prove it isn't guessing. This is the actual Genesis backend running on the mesh, not a simulation. Grid uses the verified symbolic DSL orchestrator; operator formation and composition use the Cl(3,3) engine.

// symbolic operator synthesis — teach a grid rule, compose moves, prove transfer
COMPOSE: ON SCRAMBLE: OFF
examples supplied
challenge · committed seed
demo mismatch · fraction of example cells still wrong
// continuous Cl(3,3) operator-forming — teach a transform from points, apply to unseen points
2D field — examples (○→●) · queries (+ predicted vs ✕ truth)
held-out generalization
// exact composition by the geometric product — O_BA = gp(O_B, O_A)
composed field — + predicted vs ✕ truth (A then B)
composition
best single operator on the composed task  
// autonomous active inference — it minimizes its own surprise, with no answer key
SCRAMBLE RULE: OFF
prediction error (its own surprise) over ticks
generalization to fresh, unseen inputs