bli-b1-is-logical-inductor
and · drafted
Statement
B1, the tent trajectory prior over FAF's logical induction algorithm, is a logical inductor with no open hypothesis.
Source
projects/deference/faf-cleanroom-2026-10-02/packages/bli-assemble/bli-assemble-report.md: B1 proved a logical inductor over FAF's LI criterion conditional on the OPEN statements tentOracle_exists and bliOv_computableTable; the hard step named there is an output-polynomial FP enumeration of the small sentences that FAF's machine kits lack.
Notes
The headline of the clean-room BLI area as a formal result: the composition is kernel-checked and the two obligations are its open hypothesis leaves, each carrying the work that would discharge it. The run's digest calls the enumeration the single step that would turn the area's headline from conditional to proved.
Bridge card
A conjunct of the informal claim direct-route-via-b1: The tent trajectory prior B1 over FAF's logical induction algorithm is a logical inductor, and a UDT 1.0 evaluated against its later beliefs satisfies a tiling theorem.
Declaration bliHistory_isLogicalInductor_bliDP (record bli-b1-is-logical-inductor.record)
The declaration's conclusion is FAF's logical-induction criterion applied to B1's price history, and its two hypotheses are the oracle and the computable-table obligations as the package states them, so discharging both yields B1 is a logical inductor in the paper's sense.
Hypotheses, read:
- tent-oracle-exists open: An oracle exists that enumerates the small sentences of each day in code order
with output-polynomial cost over FAF's machine kits, so that the tent
trajectory prior's table is computable.
The hard step of the area; the Lean tasks run through the clean-room's memory-capped scripts, never bare lake. - bliov-computable-table open: The overlay's table bliOv is a computable table in FAF's sense.
Completeness (bli-b1-is-logical-inductor.complete): No hypothesis beyond the oracle's existence and the table's computability is needed for B1 to be a logical inductor.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of direct-route-via-b1
Children
- part: bli-b1-is-logical-inductor.record leaf/record
- part: bli-b1-is-logical-inductor.bridge leaf/bridge
- part: tent-oracle-exists leaf/hypothesis
- part: bliov-computable-table leaf/hypothesis
- part: bli-b1-is-logical-inductor.complete leaf/completeness
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 2,
"weaker": "both"
},
"belief": null,
"draft": "ai"
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.