F418 sealed source contract Schema: symcc-loop-memoryphi-byte-lane-induction-v8 Capability: bounded-nested-loop-memoryphi-two-dimensional-affine-summary Dependencies: bounded-symbolic-alias bounded-loop-memoryphi-byte-lane-induction bounded-strided-loop-memoryphi-byte-lane-induction when required bounded-nested-loop-memoryphi-summary-composition bounded-nested-loop-memoryphi-last-write-value-summary Address form: base + pointer_scale * (constant + outer_scale * outer_iv + inner_scale * inner_iv) Sealed limits: exact two-level, single-latch, single-inner-body topology seed-zero unsigned exclusive-bound recurrences positive step <= 64 input bound source width < 64 <= 64 instances per dimension and <= 256 Cartesian pairs affine tree depth <= 4 constant/add/multiply-by-direct-positive-constant grammar non-negative constant, positive outer/inner coefficients, signed-64 maxima 1..4 ordered writers, 1..8 bytes, full-byte ConstantInt values writer width <= effective inner address stride every maximum-domain index/address present in the real alias map one stack or ordinary heap object and no additional memory effects Last-write order: descending outer induction descending inner induction descending writer ordinal Activation: outer_bound >= outer_induction_value + 1 AND inner_bound >= inner_induction_value + 1 Fallback: uninitialized, never implicit zero unsupported producer shapes do not receive a partial v8 certificate Runtime boundary: no loop skipping or summary-based memory prefill real stores and the path-local initializedness bitmap remain authoritative