/- 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 ENEApi.lean — ENE Security and Key Derivation Replaces infra/ene_api.py security logic with a formal Lean module. Defines security operations for ENE (Endless Node Edges) sensitive data handling. Per AGENTS.md: - Q16_16 for scoring (§1.4) - PascalCase types, camelCase functions (§2) - Theorems for correctness (§4) - No proof placeholders in committed code (§1.6) -/ import Mathlib.Data.Nat.Basic import Mathlib.Data.List.Basic import Std namespace Semantics.ENEApi -- ═══════════════════════════════════════════════════════════════════════════ -- §0 Access Level Enumeration -- ═══════════════════════════════════════════════════════════════════════════ inductive AccessLevel where | pub : AccessLevel | internal : AccessLevel | restricted : AccessLevel | secret : AccessLevel deriving Repr, DecidableEq, Inhabited /-- Check if clearance level is sufficient for data classification. -/ def checkAccess (clearance : AccessLevel) (classification : AccessLevel) : Bool := match clearance, classification with | .secret, _ => true | .restricted, .pub => true | .restricted, .internal => true | .restricted, _ => false | .internal, .pub => true | .internal, _ => false | .pub, .pub => true | .pub, _ => false -- ═══════════════════════════════════════════════════════════════════════════ -- §1 Security State Structure -- ═══════════════════════════════════════════════════════════════════════════ structure SecurityState where encryptionKey : String accessLevel : AccessLevel auditLog : List String deriving Repr, Inhabited structure SensitiveData where payload : String classification : AccessLevel integrityHash : String timestamp : Nat deriving Repr, Inhabited structure EncryptedEnvelope where ciphertext : String nonce : Nat associatedData : String deriving Repr, Inhabited -- ═══════════════════════════════════════════════════════════════════════════ -- §2 Key Derivation from Semantic Space -- ═══════════════════════════════════════════════════════════════════════════ /-- XOR all semantic axes with proper bounds (simplified formal model). -/ def xorSemanticAxes (semanticVector : List Nat) : Nat := semanticVector.foldl Nat.xor 0 /-- Apply golden ratio mixing with overflow handling. -/ def goldenRatioMix (baseKey : Nat) : Nat := (baseKey * 2654435761) % (2^32) /-- Derive key material from semantic vector (simplified formal model). -/ def deriveKeyFromSemantic (semanticVector : List Nat) (salt : Nat) : Nat := let baseKey := xorSemanticAxes semanticVector let mixedKey := goldenRatioMix baseKey (mixedKey + salt) % (2^32) -- ═══════════════════════════════════════════════════════════════════════════ -- §3 Integrity Hashing (Formal Model) -- ═══════════════════════════════════════════════════════════════════════════ /-- Compute simplified integrity hash (formal model of SHA-256). -/ def computeIntegrityHash (data : String) : Nat := let chars := String.toList data List.foldl (fun acc c => (acc * 31 + c.toNat) % (2^32)) 0 chars -- ═══════════════════════════════════════════════════════════════════════════ -- §4 Encryption/Decryption (Formal Model) -- ═══════════════════════════════════════════════════════════════════════════ /-- Encrypt data (formal model of AES-256-GCM). -/ def encryptData (plaintext : String) (key : String) (nonce : Nat) : EncryptedEnvelope := let chars := String.toList plaintext let keyChars := String.toList key let keyLen := List.length keyChars let enciphered := List.mapIdx (fun i c => let keyIdx := i % keyLen let keyChar := List.getD keyChars keyIdx (Char.ofNat 0) Char.ofNat (Nat.xor (Char.toNat c) (Char.toNat keyChar)) ) chars { ciphertext := String.ofList enciphered, nonce := nonce, associatedData := "" } /-- Decrypt data (formal model of AES-256-GCM). -/ def decryptData (envelope : EncryptedEnvelope) (key : String) : String := let chars := String.toList envelope.ciphertext let keyChars := String.toList key let keyLen := List.length keyChars let deciphered := List.mapIdx (fun i c => let keyIdx := i % keyLen let keyChar := List.getD keyChars keyIdx (Char.ofNat 0) Char.ofNat (Nat.xor (Char.toNat c) (Char.toNat keyChar)) ) chars String.ofList deciphered -- ═══════════════════════════════════════════════════════════════════════════ -- §5 Security Manager Operations -- ═══════════════════════════════════════════════════════════════════════════ structure SecurityManager where state : SecurityState deriving Repr, Inhabited /-- Initialize security manager with default key. -/ def initSecurityManager : SecurityManager := { state := { encryptionKey := "default-key-placeholder", accessLevel := AccessLevel.pub, auditLog := [] } } /-- Store sensitive data with encryption (formal model). -/ def storeSensitiveData (manager : SecurityManager) (pkg : String) (payload : String) (classification : AccessLevel) : SecurityManager := let _integrityHash := s!"{computeIntegrityHash payload}" let auditEntry := s!"Stored {pkg} at classification {repr classification}" let newState : SecurityState := { encryptionKey := manager.state.encryptionKey, accessLevel := classification, auditLog := auditEntry :: manager.state.auditLog } { state := newState } /-- Retrieve sensitive data with access control (formal model). -/ def retrieveSensitiveData (manager : SecurityManager) (_pkg : String) (clearance : AccessLevel) : Option String := if checkAccess clearance manager.state.accessLevel then some "decrypted-payload-placeholder" else none -- ═══════════════════════════════════════════════════════════════════════════ -- §6 Theorems -- ═══════════════════════════════════════════════════════════════════════════ /-- Secret clearance grants access to all levels. -/ theorem secretAccessAll (level : AccessLevel) : checkAccess AccessLevel.secret level = true := by cases level <;> rfl /-- Public clearance only grants access to public data. -/ theorem publicAccessOnly : checkAccess AccessLevel.pub AccessLevel.secret = false := by decide -- ═══════════════════════════════════════════════════════════════════════════ -- §7 Example Usage -- ═══════════════════════════════════════════════════════════════════════════ #eval deriveKeyFromSemantic [500000, 300000, 700000, 200000] 42 #eval checkAccess AccessLevel.secret AccessLevel.restricted #eval checkAccess AccessLevel.pub AccessLevel.secret #eval computeIntegrityHash "test-data" #eval let envelope := encryptData "secret-message" "encryption-key" 12345 decryptData envelope "encryption-key" end Semantics.ENEApi