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
