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

/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Research Stack Team

DomainModelIntegration.lean — Domain-Specific Model Integration in Lean

This module formalizes domain-specific model integration (math, science, etc.)
for the swarm, including task submission, execution, queue management,
and performance tracking.

Per AGENTS.md §1.4: Q16_16 fixed-point for scoring.
Per AGENTS.md §2: PascalCase types, camelCase functions.
Per AGENTS.md §4: Eval witnesses and theorems required.

Integration with SubagentOrchestrator: Domain models as expert knowledge sources.
-/

import Mathlib.Data.Nat.Basic
import Mathlib.Data.Real.Basic
import Mathlib.Data.Fin.Basic
import Mathlib.Data.List.Basic
import Mathlib.Tactic

namespace Semantics.DomainModelIntegration

-- ═══════════════════════════════════════════════════════════════════════════
-- §0  Fixed-Point Scoring (Q16.16)
-- ═══════════════════════════════════════════════════════════════════════════

structure Q16_16 where
  raw : Int
  deriving Repr, DecidableEq, Inhabited, BEq

namespace Q16_16

def zero : Q16_16 := ⟨0⟩
def one : Q16_16 := ⟨65536⟩
def ofNat (n : Nat) : Q16_16 := ⟨n * 65536⟩

instance : LE Q16_16 := ⟨fun a b => a.raw ≤ b.raw⟩
instance : LT Q16_16 := ⟨fun a b => a.raw < b.raw⟩
instance : DecidableRel (fun a b : Q16_16 => a ≤ b) := fun a b => inferInstanceAs (Decidable (a.raw ≤ b.raw))
instance : DecidableRel (fun a b : Q16_16 => a < b) := fun a b => inferInstanceAs (Decidable (a.raw < b.raw))
instance : Add Q16_16 := ⟨fun a b => ⟨a.raw + b.raw⟩⟩
instance : Sub Q16_16 := ⟨fun a b => ⟨a.raw - b.raw⟩⟩
instance : Mul Q16_16 := ⟨fun a b => ⟨(a.raw * b.raw) / 65536⟩⟩
instance : Div Q16_16 := ⟨fun a b => ⟨(a.raw * 65536) / b.raw⟩⟩

end Q16_16

-- ═══════════════════════════════════════════════════════════════════════════
-- §1  Domain Types
-- ═══════════════════════════════════════════════════════════════════════════

inductive Domain
  | mathematics
  | theoremProving
  | physics
  | chemistry
  | biology
  deriving Repr, DecidableEq, Inhabited

namespace Domain

def toString : Domain → String
  | mathematics => "mathematics"
  | theoremProving => "theorem_proving"
  | physics => "physics"
  | chemistry => "chemistry"
  | biology => "biology"

end Domain

-- ═══════════════════════════════════════════════════════════════════════════
-- §2  Math Models
-- ═══════════════════════════════════════════════════════════════════════════

inductive MathModel
  | deepSeekMathV2
  | qwen2Math7B
  | qwen2Math72B
  | mathCoder7B
  | mathCoder34B
  deriving Repr, DecidableEq, Inhabited

namespace MathModel

def toString : MathModel → String
  | deepSeekMathV2 => "deepseek-math-v2"
  | qwen2Math7B => "qwen2-math-7b"
  | qwen2Math72B => "qwen2-math-72b"
  | mathCoder7B => "mathcoder-7b"
  | mathCoder34B => "mathcoder-34b"

end MathModel

-- ═══════════════════════════════════════════════════════════════════════════
-- §3  Domain Task Request
-- ═══════════════════════════════════════════════════════════════════════════

structure DomainTaskRequest where
  taskId : String
  domain : Domain
  model : MathModel
  question : String
  priority : Nat
  deriving Repr, Inhabited

-- ═══════════════════════════════════════════════════════════════════════════
-- §4  Domain Task Result
-- ═══════════════════════════════════════════════════════════════════════════

structure DomainTaskResult where
  taskId : String
  domain : Domain
  model : MathModel
  question : String
  answer : String
  confidence : Q16_16
  executionTime : Q16_16
  success : Bool
  deriving Repr, Inhabited

-- ═══════════════════════════════════════════════════════════════════════════
-- §5  Domain Model System
-- ═══════════════════════════════════════════════════════════════════════════

structure DomainModelSystem where
  pendingTasks : List DomainTaskRequest
  inProgressTasks : List DomainTaskRequest
  completedTasks : List DomainTaskResult
  performanceMetrics : List (MathModel × Q16_16)
  deriving Repr, Inhabited

namespace DomainModelSystem

/-- Create empty domain model system. -/
def empty : DomainModelSystem :=
  { pendingTasks := [], inProgressTasks := [], completedTasks := [], performanceMetrics := [] }

/-- Submit domain task. -/
def submitTask (system : DomainModelSystem) (task : DomainTaskRequest) : DomainModelSystem :=
  { system with pendingTasks := task :: system.pendingTasks }

/-- Execute task (simulate). -/
def executeTask (system : DomainModelSystem) (taskId : String) : DomainModelSystem :=
  let (toExecute, remaining) := system.pendingTasks.partition (fun t => t.taskId = taskId)
  let results := toExecute.map (fun t => {
    taskId := t.taskId,
    domain := t.domain,
    model := t.model,
    question := t.question,
    answer := "Simulated answer for " ++ t.question,
    confidence := Q16_16.ofNat 8 / Q16_16.ofNat 10,
    executionTime := Q16_16.ofNat 5,
    success := true
  })
  { system with pendingTasks := remaining, completedTasks := results ++ system.completedTasks }

/-- Get task queue by domain. -/
def getTaskQueue (system : DomainModelSystem) (domain : Option Domain) : List DomainTaskRequest :=
  match domain with
  | none => system.pendingTasks
  | some d => system.pendingTasks.filter (fun t => t.domain = d)

/-- Update performance metrics. -/
def updatePerformance (system : DomainModelSystem) (model : MathModel) (score : Q16_16) : DomainModelSystem :=
  let updated := system.performanceMetrics.map (fun (m, _s) => if m = model then (m, score) else (m, _s))
  let hasModel := system.performanceMetrics.any (fun (m, _s) => m = model)
  let metrics := if hasModel then updated else (model, score) :: system.performanceMetrics
  { system with performanceMetrics := metrics }

end DomainModelSystem

-- ═══════════════════════════════════════════════════════════════════════════
-- §6  Integration with SubagentOrchestrator
-- ═══════════════════════════════════════════════════════════════════════════

/-- Domain model as an expert knowledge source. -/
structure DomainModelExpert where
  domain : Domain
  model : MathModel
  expertiseLevel : Q16_16
  deriving Repr, Inhabited

/-- Create domain model expert. -/
def createDomainExpert (domain : Domain) (model : MathModel) : DomainModelExpert :=
  { domain := domain, model := model, expertiseLevel := Q16_16.one }

-- ═══════════════════════════════════════════════════════════════════════════
-- ═══════════════════════════════════════════════════════════════════════════

end Semantics.DomainModelIntegration