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83 lines
2.9 KiB
Text
83 lines
2.9 KiB
Text
import Mathlib.Data.Nat.Basic
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import Mathlib.Data.Real.Basic
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import Mathlib.Tactic
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import Semantics.FixedPoint
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import AgenticCore
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namespace Semantics.AgenticOrchestration
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open Semantics.Q16_16
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/-! # Agentic Orchestration Field
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Orchestration field computation for agent coordination.
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Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).
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-/
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/-- Individual agent field parameters. -/
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structure AgentFieldParams where
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rhoCapability : Q16_16 -- ρ²: capability match to task (Q16.16 fixed-point)
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vEfficiency : Q16_16 -- v²: processing speed (Q16.16 fixed-point)
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tauLoad : Q16_16 -- τ²: current load (inverse) (Q16.16 fixed-point)
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qReliability : Q16_16 -- q²: historical success rate (Q16.16 fixed-point)
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deriving Repr, Inhabited
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/-- Coordination field parameters between agents. -/
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structure CoordinationParams where
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dependencyStrength : Q16_16 -- How much agent j needs agent i (Q16.16 fixed-point)
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conflictPenalty : Q16_16 -- Resource competition (Q16.16 fixed-point)
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synergyBonus : Q16_16 -- Collaboration benefit (Q16.16 fixed-point)
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deriving Repr, Inhabited
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/-- Individual agent field: Φᵢ(agentᵢ, task). -/
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def agentField (agent : AgentState) (task : Task) (params : AgentFieldParams) : Q16_16 :=
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-- Capability match: 1.0 if types match, 0.0 otherwise
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let capabilityMatch : Q16_16 := if agent.agentType = task.requiredType then one else zero
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-- Efficiency factor
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let efficiency := params.vEfficiency
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-- Load penalty (inverse: higher load → lower field)
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let loadFactor := one - agent.load
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-- Reliability bonus
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let reliability := params.qReliability
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-- Compute field using Q16_16 arithmetic
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let term1 := mul params.rhoCapability capabilityMatch
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let term2 := mul efficiency loadFactor
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term1 + term2 + reliability
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/-- Coordination field: Φ_coord(agentᵢ, agentⱼ). -/
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def coordinationField (agentI agentJ : AgentState) (params : CoordinationParams) : Q16_16 :=
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let dependency := params.dependencyStrength
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let conflict := params.conflictPenalty
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let synergy := params.synergyBonus
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-- Coordination is positive for synergy, negative for conflict
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dependency + synergy - conflict
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/-- Team orchestration field: Σᵢ Φᵢ + Σᵢ<ⱼ Φ_coord. -/
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def teamOrchestrationField
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(agents : List AgentState)
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(task : Task)
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(agentParams : AgentFieldParams)
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(coordParams : CoordinationParams) : Q16_16 :=
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-- Sum of individual agent fields
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let individualSum := agents.foldl (fun acc agent =>
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acc + agentField agent task agentParams
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) zero
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-- Sum of pairwise coordination (simplified: adjacent agents)
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let coordinationSum := match agents with
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| [] => zero
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| _ :: [] => zero
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| a1 :: a2 :: rest =>
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let init := coordinationField a1 a2 coordParams
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rest.foldl (fun acc (a, prev) =>
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acc + coordinationField prev a coordParams
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) init (a2 :: rest, a2)
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individualSum + coordinationSum
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end Semantics.AgenticOrchestration
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