lin-0250

21.4 The cross-application map

System

Declared object

Obstruction

Quotient or cover

Repair contract

CoLT

Maintained reasoning state and transition record

Typed failure of a declared commitment

Reasoning contexts and decision-null variation

Certified admit, reject, or abstain

BRIDGE/SKFM

Intervention response fields

Visible bracket nonclosure

Regime, target, and spectral covers

Screen plus identified discovery

LINCS-KET

Direct and Kan routes

Route incompatibility

Layers, incidence, Cech probes

Blockwise post-training gate

ALLORA

Adapter fields

Order-sensitive composition

Symmetry and layer structure

Capability-safety preservation

LASKO

Skill sections

Anchor, closure, feasibility

Kernel/image fibers, workflows

Executable skill gate

GIRL

Bellman factorization

Base/tangent Bellman failure

Advantage quotient, computation cover

Layered policy recovery

LINCS-RLHF

Preference field

Cyclic or unsupported reward

Population cover, cycle space

Scalar gate or relational fallback

RADAR

Relational charts

Incidence, cocycle, apex failure

Private faces and shared joins

Sparse decision-preserving descent

SID

Predictive-state sheaf

Compatibility or effectivity

Cech cover and tangent equalizer

Tangential or transverse update

SCoLT

Argument sheaf

Warrant, source, scope, rebuttal

Role and source cover

Typed repair certificate

Odyssey/Prometheus

Maintained foundry

Provenance, overlap, argument, freshness

Evidence and domain cover

Typed admission or quarantine