lin-0272

A staged research agenda

Horizon

Theoretical objective

Computational objective

Decisive evidence

Near term

statistical tangent sites and conservative cover refinement

compiler for base/tangent audits and typed certificates

held-out gains with calibrated abstention

Medium term

higher interaction signatures and reverse repair semantics

reflective DLINCS over modular and agentic systems

architectural repairs that outperform parameter-only repair

Medium term

accessible completion and intrinsic stabilization criteria

coalgebraic monitoring of repeated repair

verified convergence of typed obstruction profiles

Long term

homotopical factorization and topology of repair categories

nerve, realization, and infinitesimal-to-finite repair tools

distinct repair regimes and persistent obstruction classes

Long term

functorial transfer across learning domains

portable sketch and admission libraries

guarantees preserved under a declared domain translation

Long term

auditable declaration change and scientific novelty

abductive proposal with active experiment design

resolution of persistent anomalies and successful discriminating predictions

Table 22.6 Frontiers are ordered by the certificates needed to make them scientifically meaningful, not by mathematical novelty alone.