FRAME

hypermath | formal-universality | dictionary

What it is

FRAME is a closure-status label applied to a derivation block or a necessity criterion (NC) when the claim is structurally present but not yet closable at the current layer. A FRAME item has:

FRAME is not failure. It is a deferred citation — an honest forward dependency.

What it is not

What it clarifies

Clarifies why every layer has known forward dependencies: the FRAME labels are the dependency graph. Reading all FRAME items in a file gives the full set of obligations that higher layers must discharge.

Clarifies discharge: every FRAME requires a discharge sequence at its named layer. The layer that fails to discharge a FRAME cannot graduate.

Concrete example

-- L1 self-kernel:
-- step 22: opaque(D) — derivation matrix. FORM (schema). FRAME/L3 (content).
-- step 25: derive(deriver-is-in-D) — D[deriver][deriver] entry exists. FORM.
--          content at == level: FRAME/L3.
-- These are honest FRAME items: the schema exists at L1;
-- the ==-level content requires L3's ordinal structure to close.

Visualization

A loan paper. The debt is acknowledged. The value is present on record. The repayment is named and dated. The loan paper is not the money — but it is a real document with real obligations attached. A FRAME is a loan paper in the derivation structure.

Speculation

Whether FRAME can be automatically propagated — whether the deriver can walk the FRAME dependency graph and sequentially discharge items in weakest-frame-first order — is exactly the goal of the autonomous derivation runs. Composing FRAME with graduation: all FRAME items in a layer must be discharged before graduation proceeds. A fully automated deriver turns the FRAME graph into its own work queue. See also discharge for the closure act.