Sheaf Glue

Exact CSP for a capability sheaf. Accept iff every local section is good and every restriction agrees. Relative H¹ is ranking/diagnostic only — never the decision. Analog of meta-review in the sheaf-* family. Use when local skills report success and you need to know whether they form a global section. Trigger on "sheaf glue", "exact CSP", "global section", "Φ(c)", "restriction mismatch".

manutej 44fbc67 1.2 KB Updated

File contents

sheaf-glue

Decision skill. Occupies V (verification stalk) and evaluates Φ on the whole sheaf.

Predicate

Φ(c) = ∧v [s_v ∈ G_v] ∧ ∧{e=vw} [ρ_v s_v = ρ_w s_w]

Also report:

  • mismatch ledger (edge, field, left, right)
  • whether the linearized relative class vanishes

Hard rules

  1. Never accept on vanishing H¹ alone.
  2. Never let a soft score override a restriction failure.
  3. If the class vanishes and Φ fails, name it: linearization missed a discrete type mismatch (string path vs integer handle, etc.).
  4. Verification still executes tests. This skill is not a substitute for running the oracle.

Requires

sheaf-localize and sheaf-preserve have filled L, C, O, P. Kernel graph present.

On failure

Hand the mismatch ledger to sheaf-repair. Do not patch fields in this skill.

manutej/ceti-explainer/tree/main/skills/sheaf-glue commit 44fbc670e6

Frequently asked questions

npx skillmds@latest add manutej/sheaf-glue