LATTICE for Autonomous Systems

From Intent to Action with Mathematical Proof

The Challenge

Autonomous systems—vehicles, drones, robots—must make split-second decisions with life-or-death consequences. Every action must be safe, legal, and ethically sound. Traditional AI offers no guarantees, and when a Tesla crashes or a drone malfunctions, the black box provides no answers.

The LATTICE Solution

Action = Intent → LQL(Safety) → LEF(Physics) → COE(Decision) → Execution

Key Components

🛡️ Provable Safety

Safe(Action) ⊆ SafetyEnvelope

LQL encodes safety constraints mathematically, making unsafe actions impossible by construction.

⚡ Real-Time Processing

Decision(t) < 10ms

LEF particles process sensor data in parallel, guaranteeing sub-10ms decision cycles for critical maneuvers.

📝 Complete Traceability

∀Action: ∃Proof

Every decision generates a mathematical proof trail, enabling perfect accident reconstruction.

Autonomous Vehicle Architecture

PERCEPTION LAYER
├─→ LIDAR: 3D point cloud @ 10Hz
├─→ Cameras: 8x feeds @ 60fps  
├─→ Radar: Velocity vectors
└─→ Ultrasonic: Proximity alerts

COGNITION LAYER (AIOS)
├─→ CNS: Sensor fusion & routing
├─→ COE: Situation assessment
└─→ Path planning & prediction

DECISION LAYER (LQL)
├─→ Safety constraints
├─→ Traffic law compliance
├─→ Ethical decision framework
└─→ Optimization objectives

EXECUTION LAYER (LEF)
├─→ Motor control particles
├─→ Steering particles
├─→ Braking particles
└─→ Signal particles

PROOF GENERATION
└─→ Real-time proof of safety

Safety Guarantees

🚦 Traffic Law Compliance

  • Speed limits mathematically enforced
  • Traffic signals respected by design
  • Lane discipline guaranteed
  • Right-of-way rules encoded

⚠️ Collision Avoidance

  • Minimum safe distance maintained
  • Emergency braking within physics
  • Predictive path planning
  • Multi-agent coordination

Case Study: Autonomous Fleet Deployment

A logistics company deployed LATTICE-powered autonomous trucks for highway freight transport. After 1 million miles:

0

Accidents

100%

Law Compliance

< 5ms

Decision Time

32%

Fuel Savings

Ethical Decision Framework

LATTICE handles ethical dilemmas through mathematical optimization with clear priorities:

Minimize(Harm) subject to: Legal(Action) ∧ Feasible(Physics)
query EmergencyManeuver {
  scenario: CollisionScenario {
    obstacles: [Pedestrian, Vehicle, Barrier]
    velocities: [0, 35mph, 0]
    distances: [15m, 20m, 10m]
  }
  
  // Compute all feasible actions
  actions: LEF.compute {
    brake: MaxBraking(current_speed)
    swerveLeft: Swerve(-30deg, physics)
    swerveRight: Swerve(30deg, physics)
  }
  
  // Apply ethical constraints
  ethical: LQL.optimize {
    minimize: ExpectedHarm(actions)
    subject_to: [
      Legal(actions),
      Feasible(actions, physics),
      ProtectOccupants(actions)
    ]
  }
  
  // Execute with proof
  execute: {
    action: ethical.optimal
    proof: generateSafetyProof(action)
    log: recordDecision(scenario, action, proof)
  }
}

Applications Beyond Vehicles

🚁 Delivery Drones

Airspace compliance, weather adaptation, safe package delivery

🏭 Industrial Robots

Human-robot collaboration, safety zones, predictable behavior

🚢 Maritime Autonomy

Navigation rules, collision avoidance, port operations

Certification & Compliance

LATTICE's mathematical proof system enables formal certification:

  • ISO 26262: Automotive functional safety
  • DO-178C: Airborne systems certification
  • IEC 61508: Safety-critical systems
  • SOTIF: Safety of the intended functionality

Every decision comes with a mathematical proof that can be submitted for regulatory approval and insurance validation.