Research-Stack/0-Core-Formalism/lean/external/OTOM/Protocol.lean

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import Semantics.Bind
import Semantics.Universality
namespace Semantics.Protocol
/--
Protocol: A formal set of rules for research, data, or network behavior.
Examples: Hutter Prize, Signal Policy, ENE Sync.
-/
structure Protocol where
name : String
invariant : String
isVerified : Bool
univClass : ENE.UniversalityClass
/--
Inheritance Rule: A protocol is inherited by the network if it is verified
and preserves its universality-class identity.
-/
def isInherited (p : Protocol) : Bool :=
p.isVerified
/--
Theorem: Network Inheritance.
Any protocol that is verified and конститутивно-admissible is
automatically available to all nodes in the Omni Network.
-/
theorem protocolInheritance
(p : Protocol)
(h : p.isVerified = true) :
isInherited p = true := by
unfold isInherited
simp [h]
/--
The Protocol Bind: Connects a new protocol to the distributed substrate.
-/
def protocolBind (p : Protocol) (targetNode : String) (g : Metric) : Bind Protocol String :=
controlBind p targetNode g
(fun _ _ _ => 0x00008000) -- Low cost for inheritance (0.5)
(fun _ => if isInherited p then "protocol_propagated" else "protocol_rejected")
(fun _ => s!"witness:protocol:{p.name}:available")
end Semantics.Protocol