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

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import Mathlib.Data.Nat.Basic
import Mathlib.Data.Real.Basic
import Mathlib.Tactic
import Semantics.FixedPoint
import AgenticCore
import AgenticOrchestrationField
namespace Semantics.AgenticOrchestration
open Semantics.Q16_16
/-! # Agentic Task Assignment
Task assignment and orchestration algorithm.
Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).
-/
/-- Assign task to best available agent using field-weighted selection. -/
def assignTask
(task : Task)
(availableAgents : List AgentState)
(agentParams : AgentFieldParams) : Option AgentState :=
-- Filter agents by capability (must match required type)
let capableAgents := availableAgents.filter (fun a =>
a.agentType = task.requiredType && a.status = AgentStatus.idle
)
if capableAgents.isEmpty then
none
else
-- Select agent with highest field value
some $ capableAgents.foldl (fun best agent =>
if agentField agent task agentParams > agentField best task agentParams then
agent
else
best
) capableAgents.head!
/-- Check if all dependencies are satisfied. -/
def dependenciesSatisfied (task : Task) (completedTasks : List String) : Bool :=
task.dependencies.all (fun dep => completedTasks.contains dep)
/-- Get ready tasks (dependencies satisfied, not yet assigned). -/
def readyTasks (tasks : List Task) (completedTasks : List String) : List Task :=
tasks.filter (fun t =>
dependenciesSatisfied t completedTasks && !completedTasks.contains t.id
)
/-- Execute one step of orchestration. Returns updated agent states. -/
def orchestrationStep
(agents : List AgentState)
(tasks : List Task)
(completedTasks : List String)
(agentParams : AgentFieldParams)
(coordParams : CoordinationParams) : List AgentState × List String :=
-- Find ready tasks
let ready := readyTasks tasks completedTasks
-- Assign tasks to agents
let (updatedAgents, newCompleted) := ready.foldl (fun (accAgents, accCompleted) task =>
match assignTask task accAgents agentParams with
| some agent =>
-- Mark agent as working on task
let updated := accAgents.map (fun a =>
if a.id = agent.id then
{ a with
status := AgentStatus.working
currentTask := some task.id
load := a.load + ofNat 19660 } -- 0.3 in Q16.16
else a
)
(updated, accCompleted)
| none =>
-- No available agent, skip
(accAgents, accCompleted)
) (agents, completedTasks)
-- Simulate task completion (in real system, check actual status)
let finalAgents := updatedAgents.map (fun a =>
if a.status = AgentStatus.working && a.load >= ofNat 58982 then -- 0.9 in Q16.16
{ a with
status := AgentStatus.completed
currentTask := none
completedTasks := a.currentTask.toList ++ a.completedTasks
load := zero
outputBuffer := a.outputBuffer ++ a.currentTask.toList }
else if a.status = AgentStatus.working then
{ a with load := a.load + ofNat 6553 } -- 0.1 in Q16.16
else
a
)
let finalCompleted := finalAgents.foldl (fun acc a =>
acc ++ a.completedTasks
) []
(finalAgents, finalCompleted)
/-- Run full orchestration until all tasks complete. -/
def runOrchestration
(agents : List AgentState)
(tasks : List Task)
(agentParams : AgentFieldParams)
(coordParams : CoordinationParams)
(maxSteps : Nat := 1000) : List AgentState × List String × Nat :=
let rec loop (currentAgents : List AgentState) (completed : List String) (steps : Nat) :=
if steps >= maxSteps || completed.length = tasks.length then
(currentAgents, completed, steps)
else
let (newAgents, newCompleted) := orchestrationStep
currentAgents tasks completed agentParams coordParams
loop newAgents newCompleted (steps + 1)
loop agents [] 0
end Semantics.AgenticOrchestration