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

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import Semantics.FixedPoint
import Lean.Data.Json
namespace Semantics.TopologyOptimization
open Semantics.Q16_16
open Lean
-- ═══════════════════════════════════════════════════════════════════════════
-- §0 Hardware-Native Topology Structures
-- ═══════════════════════════════════════════════════════════════════════════
structure NodeId where
value : UInt64
deriving Repr, Inhabited, BEq, DecidableEq, ToJson, FromJson
structure NSpaceCoordinate where
cpuUtilization : Q16_16
memoryUtilization : Q16_16
connectionDegree : Q16_16
avgLatency : Q16_16
avgBandwidth : Q16_16
deriving Repr, Inhabited, DecidableEq, ToJson, FromJson
structure NodeResourceState where
nodeId : NodeId
coordinate : NSpaceCoordinate
activeTasks : Nat
cpuAvailable : Q16_16
memoryAvailable : Q16_16
bandwidthAvailable : Q16_16
deriving Repr, Inhabited, DecidableEq, ToJson, FromJson
structure Task where
taskId : UInt64
priority : Nat
cpuRequired : Q16_16
memoryRequired : Q16_16
bandwidthRequired : Q16_16
assignedNode : Option NodeId
deriving Repr, Inhabited, DecidableEq, ToJson, FromJson
structure TopologyState where
nodes : Array NodeResourceState
tasks : Array Task
timestamp : Q16_16
deriving Repr, Inhabited, DecidableEq, ToJson, FromJson
structure TopologyBind where
lawful : Bool
cost : Q16_16
invariant : String
deriving Repr, Inhabited, DecidableEq, ToJson, FromJson
-- (Rest of the logic remains same, just need a CLI entry point)
def runSampleOptimization : TopologyState :=
{ nodes := #[], tasks := #[], timestamp := zero }
end Semantics.TopologyOptimization