Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/Containment.lean

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import Semantics.FixedPoint
import Semantics.Bind
/--
Containment: Formal deterrence and safety protocol.
Ensures that radioactive adversarial warding can ONLY be activated
with a verified out-of-band Human Witness signature.
-/
namespace Semantics.Containment
open Semantics.Q16_16
/-- A signal representing a manually-vetted human intent. -/
structure HumanWitness where
id : Nat
signature : String
timestamp : Nat
deriving Repr, BEq
/-- The current containment status of the radioactive layers. -/
inductive ContainmentStatus
| locked -- Deterrence only (default)
| armed -- Human witness provided, activation permitted
deriving Repr, BEq
/--
Deterrence Invariant:
The system resides in a 'Locked' state by default to prevent
accidental informatic collapse (The Social Singularity).
-/
def isContained (status : ContainmentStatus) : Bool :=
match status with
| .locked => true
| .armed => false
/--
A proof that a Human Witness is required to arms the manifold.
Ensures no autonomous agent can trigger the 'Radioactive' pay-off.
-/
def canEscalate (status : ContainmentStatus) (witness : Option HumanWitness) : Bool :=
match status, witness with
| .locked, none => false
| .armed, some _ => true
| _, _ => false
end Semantics.Containment