comm-trust-formalized
and · drafted
Statement
The Communication & Trust structure is formalized: on a 64-world witness decision-determination, internal drivenness and stability hold with both events non-empty, the repaired self-trust and the policy-follows-recommendation lemma are proved, and the translator's uniqueness of the condensation variable is refuted.
Source
projects/deference/faf-cleanroom-2026-10-02/packages/udt-comm-trust/udt-comm-trust-report.md: polE_follows_R, selfTrust_repaired, the W2 witness, ct_not_unique; 773 declarations, passed.
Notes
The formalization of the Communication & Trust paper. Its finding is that the printed hypotheses admit only a degenerate witness for the corollary, which the sibling step addresses.
Bridge card
A conjunct of the informal claim communication-trust-paper: A paper states a decision structure in which the instances of one agent coordinate by messages, with decision-determination, Communicative Expectation, Self-Trust and Advice-Following as its hypotheses, and proves UDT tiling with a communicative alternative in place of communicative cloning, the Third Button obstruction handled by a stability assumption and the theorem carrying a non-degenerate witness.
Declaration polE_follows_R (record comm-trust-formalized.record)
The declaration's recommendation-following lemma is the paper's Advice-Following consequence under its four hypotheses, read with UdtRule pointwise, and the W2 witness realizes the paper's structure non-trivially.
Hypotheses, read:
- comm-trust-advice-hypotheses definitional: Decision-determination, Communicative Expectation, Self-Trust and Advice-Following hold of the agent's instances as the paper states them, with UdtRule read pointwise.
Completeness (comm-trust-formalized.complete): No hypothesis beyond the paper's four is needed for the formalized lemmas.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of communication-trust-paper
Children
- part: comm-trust-formalized.record leaf/record
- part: comm-trust-formalized.bridge leaf/bridge
- part: comm-trust-advice-hypotheses leaf/hypothesis
- part: comm-trust-formalized.complete leaf/completeness
Ranking (the lens, not the structure)
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}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.