hypermath | formal-universality | dictionary
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.
FRAME is a formal
within-system status: the item exists in the layer file, carries its dependency
explicitly, and has a named closure target.FRAME derivation is structurally valid at its layer. It is just
not closable yet because it needs content from above.FRAME block is a complete derivation attempt — it
reaches exactly as far as the current layer supports and honestly names where
it stops.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.
-- 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.
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.
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.