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C3_scope
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IndisputableMonolith.Papers.ClaimBoundaries on GitHub at line 129.
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126- Theta thermodynamics / embodiment dynamics
127- Specific afterlife phenomenology
128-/
129def C3_scope : String := "Z-Pattern Death and Survival"
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)