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module module high

IndisputableMonolith.Ethics.ConsentInterfaceFromJCost

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This module defines the agent recognition value functional as one minus the J-cost applied to the sigma ratio, together with predicates for consensual interactions and consent interface certificates. Researchers extending Recognition Science into ethics would cite it to ground consent predicates in the core J-functional. The module is purely definitional, importing the time quantum from Constants and the J-cost from Cost with no proof content.

claimThe agent recognition value functional is given by $v = 1 - J(r)$, where $J$ is the J-cost function and $r$ is the sigma ratio. It is accompanied by the predicate IsConsensual on agent pairs and the certificate type ConsentInterfaceCert.

background

The module sits in the Ethics domain and imports the RS-native time quantum τ₀ = 1 tick from Constants together with the J-cost machinery from the Cost module. It introduces the value functional that quantifies agent recognition value directly from the J-cost of the sigma ratio. Further definitions establish the IsConsensual predicate and the ConsentInterfaceCert type that certify consent interfaces.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the definitional bridge that turns the J-cost into an ethics interface, feeding the Recognition framework's treatment of agent interactions. It operationalizes recognition value for consent predicates and connects to the broader J-uniqueness and composition law landmarks, though no downstream theorems are yet declared.

scope and limits

depends on (2)

Lean names referenced from this declaration's body.

declarations in this module (9)