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module module moderate

IndisputableMonolith.Gravity.Track1BCompilerTrustStatus

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Status ledger for Track 1.B compiler trust: a machine-checkable record of which basis facts and open gates sit under any theorem proved via native_decide. Gravity auditors cite it when reading the corrected quadratic / axis-stencil local correspondence. The module packages named status values and an anchor that the closed gate is recorded, not re-proved.

claimA status record $\mathsf{CompilerTrustStatus}$ together with a Track 1.B instance that documents the basis and open-problem status of any local Regge/$J$-cost correspondence step whose Lean proof uses $\mathtt{native\_decide}$, including an anchor that the corrected gate is named open rather than asserted.

background

Track 1.B is the gravity route that factors the local Regge / $J$-cost correspondence through a corrected quadratic on an axis stencil. The upstream module states everything it claims as a theorem (zero sorry, zero RS-internal axiom) while explicitly naming the corrected gate itself OPEN, not asserted.

$J$ is the unique cost forced by the Recognition Composition Law, $J(x)=(x+x^{-1})/2-1$. Local correspondence here means matching discrete curvature / defect data on a stencil to that cost structure. Because some residual identities are discharged by native_decide, the framework needs a separate, inspectable record of what was assumed versus what remains open.

This module sits one import above that corrected-quadratic development and only records trust metadata; it does not restate the geometric identities.

proof idea

Definition and status module, not a proof development. It introduces a status type for compiler trust, a concrete Track 1.B status value, and a small anchor lemma that the recorded status marks the closed-gate / open-problem bookkeeping consistently with the upstream corrected-quadratic module. No geometric argument is replayed here.

why it matters in Recognition Science

Native-decide steps are opaque to a human auditor reading only the tactic script. In Recognition Science gravity, Track 1.B is the path toward local Regge/$J$ correspondence on the axis stencil; the corrected gate is deliberately left OPEN upstream. This module makes that openness and the decide-basis machine-checkable so downstream gravity claims cannot silently treat the gate as closed.

No further modules currently depend on it in the supplied graph. Its place is documentary: it freezes the trust boundary for Session-era Track 1.B work so later forcing-chain or phenomenology layers can cite a named status object rather than tribal knowledge about which inequalities were kernel-decided.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (3)