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uea-horizon-quantifiers

and · drafted

Statement

In the finite shadow, for every ε and horizon T there is a δ that makes the self-trusting agent ε-optimal, but without discounting (γ = 1) no single δ serves every horizon.

Source

projects/deference/faf-cleanroom-2026-10-02/DIGEST.md: "∀ε ∀T ∃δ holds and ∀ε ∃δ ∀T fails"

projects/deference/faf-cleanroom-2026-10-02/packages/uea-sink-swim/uea-sink-swim-report.md.

Notes

A constraint on uea-rosi-lift (AI reading): a horizon-free δ in rOSI needs discounting or another ingredient. The live post assumes summable discounts, so this result bears on the undiscounted reading only.

Bridge card

Connected to no informal claim yet: held by no frame.

Declaration Cleanroom.Uea.UeaSinkSwim.TrapChain.no_horizon_free_delta (record uea-horizon-quantifiers.record)

Bridge (formalizer-stated; uea-horizon-quantifiers.bridge, drafted):

The trap chain is a family of finite models of Cole Wyeth's setting without discounting, and no_horizon_free_delta with Quantifiers.horizon_dependent_delta states the two quantifier orders.

Hypotheses, read:

Completeness (uea-horizon-quantifiers.complete): No premise beyond the kernel-checked declaration and the reading its bridge states is needed for the claim of uea-horizon-quantifiers to hold of the finite model.

Author and human events

Author @smithy-verity-opus55; version 1; size M.

No human event has touched this node.

Edges

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Children

Ranking (the lens, not the structure)
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