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

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import Semantics.FixedPoint
import Semantics.Bind
namespace Semantics.Autobalance
open Semantics
/--
NodeState: Represents the health of a research node.
-/
structure NodeState where
ip : String
recordCount : Nat
isOnline : Bool
load : Q16_16
deriving Repr, BEq
/--
BalanceInvariant: A network is 'Grounded' if the variance in record counts
is within the prescribed tolerance (10% delta).
-/
def isGrounded (nodes : List NodeState) : Bool :=
let onlineNodes := nodes.filter (·.isOnline)
if onlineNodes.length < 2 then true
else
-- Simple heuristic: if any online node has 0 records while others have many, not grounded.
let hasEmpty := onlineNodes.any (·.recordCount == 0)
let hasLoaded := onlineNodes.any (·.recordCount > 100)
!(hasEmpty && hasLoaded)
open Semantics.Q16_16
/--
EquilibriumCost: The cost of an autobalance event (Q16.16).
Cross-node broadcast is expensive but necessary for full view.
-/
def balanceCost (n : NodeState) (_g : Metric) : Semantics.Q16_16 :=
if n.isOnline then ofFloat 0.5
else ofFloat 5.0
/--
The Autobalance Bind: Connects the local substrate to the network equilibrium.
-/
def balanceBind (localNode : NodeState) (remoteNode : NodeState) (g : Metric) : Bind NodeState NodeState :=
controlBind localNode remoteNode g (fun n _ _ => balanceCost n g)
(fun _ => if isGrounded [localNode, remoteNode] then "equilibrium_attained" else "rebalance_required")
(fun _ => "lawful_sync_witness")
end Semantics.Autobalance