Item 7: Model the market and the traders
Deference line · difficulty substantial · project deference · open · node item-7
— partially closed Stage V
The audit's §3.1 is "The market and traders are entirely unmodeled". The development takes the Logical Induction theorems as named hypotheses and proves what follows; the inference from the criterion to the forcing inequality is nowhere in it, because the objects that inference is about are absent.
Deliverable shape: lean-proved in Workspace.Deference.Contrib, with an inhabitation witness for the hypothesis package. Acceptance check: The Lean gate is green, the axiom audit is clean, and the nonvacuity witness typechecks.
Context: projects/deference/note-dump-2026-08-11/lean-deference/AUDIT.md §3.1. A solution ships: a minimal market and trader model in Workspace.Deference.*, enough that the criterion's application is a proof rather than a hypothesis, with the axiom audit clean.
Stage V status: the actual FAF market, strategy, trader, net-worth and IsLogicalInductor.noExploit objects are now connected. The signed-error forcing chain derives trader efficiency from RpnSentenceCodes; faithful acceleration uses actual FAF wealth and criterion semantics. The residue is cross-process: polynomial emission for the other process's quote sequence, cross-market calibration, and generic deductive-process non-vacuity. See projects/deference/notes/LI_NATIVE_DEFERENCE.md.
Deliverable shape: lean-proved in Workspace.Deference.Contrib, with an inhabitation witness for the hypothesis package.
Acceptance check: The Lean gate is green, the axiom audit is clean, and the nonvacuity witness typechecks.
Context: projects/deference/note-dump-2026-08-11/lean-deference/AUDIT.md
Registered results bearing on this item
None registered.
Where it hangs
- part of lean-deference-audit-closed