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

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/- 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
RcloneIntegration.lean — Cloud Storage Operations in Lean
This module formalizes Rclone cloud storage operations for the swarm system.
Supports sync, copy, list, and other Rclone operations across various cloud
storage providers (Google Drive, Dropbox, S3, etc.).
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: Rclone operations as domain tasks.
-/
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.RcloneIntegration
-- ═══════════════════════════════════════════════════════════════════════════
-- §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 Cloud Storage Providers
-- ═══════════════════════════════════════════════════════════════════════════
inductive RcloneProvider
| googleDrive
| dropbox
| amazonS3
| googleCloudStorage
| azureBlob
| oneDrive
| mega
| ftp
| sftp
| webdav
| localStorage
deriving Repr, DecidableEq, Inhabited
namespace RcloneProvider
def toString : RcloneProvider → String
| googleDrive => "drive"
| dropbox => "dropbox"
| amazonS3 => "s3"
| googleCloudStorage => "gcs"
| azureBlob => "azureblob"
| oneDrive => "onedrive"
| mega => "mega"
| ftp => "ftp"
| sftp => "sftp"
| webdav => "webdav"
| localStorage => "local"
end RcloneProvider
-- ═══════════════════════════════════════════════════════════════════════════
-- §2 Rclone Operations
-- ═══════════════════════════════════════════════════════════════════════════
inductive RcloneOperation
| sync
| copy
| move
| list
| mount
| umount
| delete
| purge
| check
| md5sum
| size
deriving Repr, DecidableEq, Inhabited
namespace RcloneOperation
def toString : RcloneOperation → String
| sync => "sync"
| copy => "copy"
| move => "move"
| list => "list"
| mount => "mount"
| umount => "umount"
| delete => "delete"
| purge => "purge"
| check => "check"
| md5sum => "md5sum"
| size => "size"
end RcloneOperation
-- ═══════════════════════════════════════════════════════════════════════════
-- §3 Task Status
-- ═══════════════════════════════════════════════════════════════════════════
inductive TaskStatus
| pending
| inProgress
| completed
| failed
deriving Repr, DecidableEq, Inhabited
namespace TaskStatus
def toString : TaskStatus → String
| pending => "pending"
| inProgress => "in_progress"
| completed => "completed"
| failed => "failed"
end TaskStatus
-- ═══════════════════════════════════════════════════════════════════════════
-- §4 Rclone Task Request
-- ═══════════════════════════════════════════════════════════════════════════
structure RcloneTaskRequest where
taskId : String
provider : RcloneProvider
operation : RcloneOperation
source : String
destination : String
options : List (String × String)
priority : Nat
dryRun : Bool
deriving Repr, Inhabited
-- ═══════════════════════════════════════════════════════════════════════════
-- §5 Rclone Task Result
-- ═══════════════════════════════════════════════════════════════════════════
structure RcloneTaskResult where
taskId : String
operation : RcloneOperation
provider : RcloneProvider
source : String
destination : String
dryRun : Bool
returnCode : Nat
stdout : String
stderr : String
duration : Q16_16
success : Bool
filesTransferred : Nat
bytesTransferred : Nat
deriving Repr, Inhabited
-- ═══════════════════════════════════════════════════════════════════════════
-- §6 Task Queue
-- ═══════════════════════════════════════════════════════════════════════════
structure RcloneTaskQueue where
tasks : List RcloneTaskRequest
pending : List RcloneTaskRequest
inProgress : List RcloneTaskRequest
completed : List RcloneTaskResult
deriving Repr, Inhabited
namespace RcloneTaskQueue
/-- Create empty task queue. -/
def empty : RcloneTaskQueue :=
{ tasks := [], pending := [], inProgress := [], completed := [] }
/-- Add task to queue. -/
def addTask (queue : RcloneTaskQueue) (task : RcloneTaskRequest) : RcloneTaskQueue :=
{ queue with tasks := task :: queue.tasks, pending := task :: queue.pending }
/-- Move task from pending to inProgress. -/
def startTask (queue : RcloneTaskQueue) (taskId : String) : RcloneTaskQueue :=
let (toStart, remaining) := queue.pending.partition (fun t => t.taskId = taskId)
{ queue with pending := remaining, inProgress := toStart ++ queue.inProgress }
/-- Complete task and add result. -/
def completeTask (queue : RcloneTaskQueue) (result : RcloneTaskResult) : RcloneTaskQueue :=
let (_finished, remaining) := queue.inProgress.partition (fun t => t.taskId = result.taskId)
{ queue with inProgress := remaining, completed := result :: queue.completed }
end RcloneTaskQueue
-- ═══════════════════════════════════════════════════════════════════════════
-- §7 Integration with SubagentOrchestrator
-- ═══════════════════════════════════════════════════════════════════════════
/-- Rclone as a domain expert for cloud storage operations. -/
structure RcloneDomainExpert where
provider : RcloneProvider
expertiseLevel : Q16_16
operationsKnown : List RcloneOperation
deriving Repr, Inhabited
/-- Create Rclone domain expert for a provider. -/
def createRcloneExpert (provider : RcloneProvider) : RcloneDomainExpert :=
{ provider := provider
expertiseLevel := Q16_16.one
operationsKnown := [RcloneOperation.sync, RcloneOperation.copy, RcloneOperation.list, RcloneOperation.delete] }
-- ═══════════════════════════════════════════════════════════════════════════
-- §8 Theorems
-- ═══════════════════════════════════════════════════════════════════════════
/-- Theorem: Task queue operations preserve task count. -/
theorem addTaskPreservesCount (queue : RcloneTaskQueue) (task : RcloneTaskRequest) :
(queue.addTask task).tasks.length = queue.tasks.length + 1 := by
simp [RcloneTaskQueue.addTask]
-- Theorem: Starting a task moves it from pending to inProgress.
-- TODO(lean-port): Complete proof - theorem temporarily removed due to proof-hole axiom.
-- Theorem: Completed task is removed from inProgress.
-- TODO(lean-port): Complete proof - theorem temporarily removed due to proof-hole axiom.
-- ═══════════════════════════════════════════════════════════════════════════
-- ═══════════════════════════════════════════════════════════════════════════
-- §9 Topological Storage Area
-- ═══════════════════════════════════════════════════════════════════════════
/-- Google Drive is designated as the topological storage area for the swarm.
This is the primary storage location for persistent topological state. -/
structure TopologicalStorageArea where
provider : RcloneProvider
mountPoint : String
isPrimary : Bool
deriving Repr, Inhabited
/-- Designate Google Drive as topological storage area. -/
def topologicalStorageArea : TopologicalStorageArea :=
{ provider := RcloneProvider.googleDrive
mountPoint := "gdrive:topological_storage"
isPrimary := true }
-- ═══════════════════════════════════════════════════════════════════════════
end Semantics.RcloneIntegration