129def C3_scope : String := "Z-Pattern Death and Survival"
proof body
Definition body.
130 131/-! ## L-3: LNAL 5-op Semantic Core 132 133### Theorems (cite freely) 134- `LNAL.Core.Sequence.reduce_idem` — normal form is idempotent 135- `LNAL.Core.Sequence.reduce_only_structural` — reduced sequences contain only LOCK/legal-BRAID 136- `LNAL.Core.Sequence.reduce_length_le` — reduction does not increase length 137- `LNAL.Core.Op.normalize_bind_self` — double normalize = single normalize 138- `LNAL.Core.Sequence.exec_equiv_refl/symm/trans` — execution equivalence is an equivalence relation 139 140### Definitions (must declare) 141- `Op` — 5-op inductive: LISTEN, LOCK, BALANCE, FOLD, BRAID 142- `LedgerState` — windows + Z/M ledgers + lock flag 143- `NeutralWindow` — length-8 window with small sum 144- `LegalTriad` — pairwise-distinct triple (SU(3) stand-in) 145 146### Known limitations (must acknowledge) 147- `Op.execute` is identity (scaffold) — no operational semantics in this paper 148- `Sequence.execute_eq_state` proves execution is no-op (from scaffold) 149- Static invariants (8-tick sum, parity, cost ceiling) referenced in doc but 150 formalized in separate files, not in Core.lean itself 151 152### Vocabulary note for paper 153- 5 ops = semantic core (this paper) 154- 8 ops = ISA / VM primitives (separate L-4 paper) 155- "16 opcodes" in LNAL.lean aggregator is WRONG — it describes program length, not arity 156 157### Out of scope for L-3 158- Full execution semantics (L-4) 159- Completeness / unique decomposition (U-3) 160- Photon-meaning bridge 161- Language emergence 162-/
depends on (38)
Lean names referenced from this declaration's body.