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NeuroStrata: Harnessing Neurosymbolic Paradigms for
Improved Design, Testability, and Verifiability of
Autonomous CPS
Xi Zheng Ziyang Li Ivan Ruchkin Ruzica Piskac Miroslav Pajic
2022 @ Macquarie University
2
Motivation & Context
https://yachtharbour.com/news/what-you-need-to-know-about-superyacht-helipads-3229?src=news_view_page_bar
"Robust and Scalable Autonomous Landing for
Drones", CI, ARC Linkage Project grant
LP210100337. Awarded $459,593. 2022-2025.
• Autonomous CPSs (cars, drones, surgeries)
increasingly rely on ML.
• The uncertainty and black-box nature of ML increase
system risk.
• Critical needs in industry: Trustworthy, Interpretable,
and Testable AI-based systems.
https://kr-asia.com/three-dead-in-su7-crash-fatal-accident-
renews-scrutiny-of-smart-driving-safety
Tesla on autopilot crashes into
overturned truck
2022 @ Macquarie University
3
Problem Statement
• Traditional ML (softmax, regression) lacks determinism and explainability.
• Current formal methods do not scale or guarantee correctness in complex industry-
grade CPS.
• Formal verification of learning-enabled components remains input-output bounded
robustness and simplified inputs/properties (e.g., left right collision avoidance) while
learning-enabled systems are much more complex
Yao Deng et al. 2022. Scenario-based test reduction and prioritization for multimodule autonomous driving systems. In FSE.
82–93. https://doi.org/10.1145/3540250.3549152
Limitations of Existing Approaches
• Neural Network Verifiers:
 NNV, Sherlock, Reluplex, Alpha-Beta-CROWN
 Input-output properties only; lack full system guarantees
• System-level Testing:
 Fuzzing, robustness analysis
 Broader coverage but rely on probabilistic reasoning → weaken formal
guarantees
Neurosymbolic Methods
• Differentiable Logic Programming:
 TensorLog, DeepProbLog
 Deterministic, but complex mappings & limited multimodality
• Program Induction:
 DreamCoder, Neuro-symbolic synthesis
 DSL rigidity limits adaptability for sensor fusion and reasoning
Emerging Gaps
• Lack of system-level formal guarantees
• Limited integration across perception, planning, control
• Runtime adaptability remains challenging
Proposed Solution - NeuroStrata
5
Hierarchical Architecture
• High-Level (Symbolic):
• Scene Graphs, Mission Planners
• Program Induction (DreamCoder-Style)
• Mid-Level (Neurosymbolic):
• Semantic Maps, Local Planners
• Symbolic constraints + neural adaptation
• Low-Level (Neurosymbolic):
• Sensor Fusion, Actuation Control
• Impose Operational and Physical constraints +
neural adaptation
Core Idea
• Combine neural adaptability with symbolic
reasoning
• Enable formal specifications across perception,
planning, and control
Proposed Solution - NeuroStrata
6
Two-Phase Process
• Top-Down Synthesis:
• Generate symbolic & neurosymbolic modules from
specifications
• Bottom-Up Adaptation:
• Runtime program induction to refine symbolic
programs based on neural outputs
Key Features
• Specification mining via distillation + LLMs
• Adaptive runtime behavior with formal guarantees
• Integrated design-time synthesis & runtime
verification
Early Results - Symbolic constraints for neural adaptation
7
• LLM extracts Linear Temporal Logic (LTL)
specifications from scene captions.
• Neural network generates Spatio-Temporal Scene
Graph (STSG) from video frames.
• Conformance checking compares STSG with LTL to
measure semantic alignment.
• Alignment score (probability of alignment) which is
approximated by underlying Scallop (alignment
checker)
• Violations are backpropagated as loss to improve
STSG generation
[1] J. Huang et al. “LASER: A Neuro-Symbolic Framework for Learning Spatial-Temporal Scene Graphs with
Weak Supervision
“ https://arxiv.org/abs/2304.07647
2025 @ Macquarie University
8
Early Results – Semi-Automatically synthesized Landing Site Selection Module
from Semantic Map via LLM & Human-in-the-loop for Drone auto-land system
Fig.1 Our NeuroSymbolic approach compared with SOTA
baselines
Fig.2 Reasoning Capacities of Our NeuroSymbolic
approach
Overall Plan
9
Step I — Dataset Generation
• Model-based scenario synthesis with LLMs
• Generate diverse, edge-case-rich, physically grounded datasets
Step II — DSL Co-Design
• Collaborate with domain experts
• Express hierarchical specs across sensing, planning, control
Step III — Specification Mining
• Neurosymbolic distillation + LLM queries
• Hybrid symbolic-neural techniques with active learning to refine mined specs
Step IV — Design-Time Synthesis & Verification
• Synthesize neurosymbolic modules from DSL specs
• Compositional and abstraction-based verification for scalability
Step V — Runtime Adaptation & Validation
• Differentiable program induction for online symbolic updates
• Low-overhead runtime monitoring for real-time validation
Final step: Industry adaptation early effort-> Closed-loop UAV autolanding system adopted
and deployed by Australian drone delivery startup Skyy Network — ARC LP’22 [1], DSN’25 [2].
[1] "Robust and Scalable Autonomous Landing for Drones", CI, ARC Linkage Project grant LP210100337. Awarded
$459,593. 2022-2025.
[2] Sebastian Schroder, Yao Deng, Richard Han, Xi Zheng 。 Towards Robust Autonomous Landing Systems:
Iterative Solutions and Key Lessons Learned. IEEE/IFIP International Conference on Dependable Systems and
Networks, 2025, Naples, Italy
Q&A

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NeuroStrata: Harnessing Neuro-Symbolic Paradigms for Improved Testability and Verifiability of Autonomous CPS

  • 1. NeuroStrata: Harnessing Neurosymbolic Paradigms for Improved Design, Testability, and Verifiability of Autonomous CPS Xi Zheng Ziyang Li Ivan Ruchkin Ruzica Piskac Miroslav Pajic
  • 2. 2022 @ Macquarie University 2 Motivation & Context https://yachtharbour.com/news/what-you-need-to-know-about-superyacht-helipads-3229?src=news_view_page_bar "Robust and Scalable Autonomous Landing for Drones", CI, ARC Linkage Project grant LP210100337. Awarded $459,593. 2022-2025. • Autonomous CPSs (cars, drones, surgeries) increasingly rely on ML. • The uncertainty and black-box nature of ML increase system risk. • Critical needs in industry: Trustworthy, Interpretable, and Testable AI-based systems. https://kr-asia.com/three-dead-in-su7-crash-fatal-accident- renews-scrutiny-of-smart-driving-safety Tesla on autopilot crashes into overturned truck
  • 3. 2022 @ Macquarie University 3 Problem Statement • Traditional ML (softmax, regression) lacks determinism and explainability. • Current formal methods do not scale or guarantee correctness in complex industry- grade CPS. • Formal verification of learning-enabled components remains input-output bounded robustness and simplified inputs/properties (e.g., left right collision avoidance) while learning-enabled systems are much more complex Yao Deng et al. 2022. Scenario-based test reduction and prioritization for multimodule autonomous driving systems. In FSE. 82–93. https://doi.org/10.1145/3540250.3549152
  • 4. Limitations of Existing Approaches • Neural Network Verifiers:  NNV, Sherlock, Reluplex, Alpha-Beta-CROWN  Input-output properties only; lack full system guarantees • System-level Testing:  Fuzzing, robustness analysis  Broader coverage but rely on probabilistic reasoning → weaken formal guarantees Neurosymbolic Methods • Differentiable Logic Programming:  TensorLog, DeepProbLog  Deterministic, but complex mappings & limited multimodality • Program Induction:  DreamCoder, Neuro-symbolic synthesis  DSL rigidity limits adaptability for sensor fusion and reasoning Emerging Gaps • Lack of system-level formal guarantees • Limited integration across perception, planning, control • Runtime adaptability remains challenging
  • 5. Proposed Solution - NeuroStrata 5 Hierarchical Architecture • High-Level (Symbolic): • Scene Graphs, Mission Planners • Program Induction (DreamCoder-Style) • Mid-Level (Neurosymbolic): • Semantic Maps, Local Planners • Symbolic constraints + neural adaptation • Low-Level (Neurosymbolic): • Sensor Fusion, Actuation Control • Impose Operational and Physical constraints + neural adaptation Core Idea • Combine neural adaptability with symbolic reasoning • Enable formal specifications across perception, planning, and control
  • 6. Proposed Solution - NeuroStrata 6 Two-Phase Process • Top-Down Synthesis: • Generate symbolic & neurosymbolic modules from specifications • Bottom-Up Adaptation: • Runtime program induction to refine symbolic programs based on neural outputs Key Features • Specification mining via distillation + LLMs • Adaptive runtime behavior with formal guarantees • Integrated design-time synthesis & runtime verification
  • 7. Early Results - Symbolic constraints for neural adaptation 7 • LLM extracts Linear Temporal Logic (LTL) specifications from scene captions. • Neural network generates Spatio-Temporal Scene Graph (STSG) from video frames. • Conformance checking compares STSG with LTL to measure semantic alignment. • Alignment score (probability of alignment) which is approximated by underlying Scallop (alignment checker) • Violations are backpropagated as loss to improve STSG generation [1] J. Huang et al. “LASER: A Neuro-Symbolic Framework for Learning Spatial-Temporal Scene Graphs with Weak Supervision “ https://arxiv.org/abs/2304.07647
  • 8. 2025 @ Macquarie University 8 Early Results – Semi-Automatically synthesized Landing Site Selection Module from Semantic Map via LLM & Human-in-the-loop for Drone auto-land system Fig.1 Our NeuroSymbolic approach compared with SOTA baselines Fig.2 Reasoning Capacities of Our NeuroSymbolic approach
  • 9. Overall Plan 9 Step I — Dataset Generation • Model-based scenario synthesis with LLMs • Generate diverse, edge-case-rich, physically grounded datasets Step II — DSL Co-Design • Collaborate with domain experts • Express hierarchical specs across sensing, planning, control Step III — Specification Mining • Neurosymbolic distillation + LLM queries • Hybrid symbolic-neural techniques with active learning to refine mined specs Step IV — Design-Time Synthesis & Verification • Synthesize neurosymbolic modules from DSL specs • Compositional and abstraction-based verification for scalability Step V — Runtime Adaptation & Validation • Differentiable program induction for online symbolic updates • Low-overhead runtime monitoring for real-time validation
  • 10. Final step: Industry adaptation early effort-> Closed-loop UAV autolanding system adopted and deployed by Australian drone delivery startup Skyy Network — ARC LP’22 [1], DSN’25 [2]. [1] "Robust and Scalable Autonomous Landing for Drones", CI, ARC Linkage Project grant LP210100337. Awarded $459,593. 2022-2025. [2] Sebastian Schroder, Yao Deng, Richard Han, Xi Zheng 。 Towards Robust Autonomous Landing Systems: Iterative Solutions and Key Lessons Learned. IEEE/IFIP International Conference on Dependable Systems and Networks, 2025, Naples, Italy
  • 11. Q&A

Editor's Notes

  • #5: First, I’ll introduce the background of autonomous driving system testing. The figure shows the architecture and data flow of a industry-level multi-module ADS. The ADS has many modules to implement different functionalities and finally output the control commands. Data flow among modules is based on the publish-subscribe mechanism. A module sends its output as a message into its corresponding publish channel, and another module will subscribe messages from the channel to get the needed input.
  • #6: First, I’ll introduce the background of autonomous driving system testing. The figure shows the architecture and data flow of a industry-level multi-module ADS. The ADS has many modules to implement different functionalities and finally output the control commands. Data flow among modules is based on the publish-subscribe mechanism. A module sends its output as a message into its corresponding publish channel, and another module will subscribe messages from the channel to get the needed input.
  • #7: First, I’ll introduce the background of autonomous driving system testing. The figure shows the architecture and data flow of a industry-level multi-module ADS. The ADS has many modules to implement different functionalities and finally output the control commands. Data flow among modules is based on the publish-subscribe mechanism. A module sends its output as a message into its corresponding publish channel, and another module will subscribe messages from the channel to get the needed input.
  • #9: First, I’ll introduce the background of autonomous driving system testing. The figure shows the architecture and data flow of a industry-level multi-module ADS. The ADS has many modules to implement different functionalities and finally output the control commands. Data flow among modules is based on the publish-subscribe mechanism. A module sends its output as a message into its corresponding publish channel, and another module will subscribe messages from the channel to get the needed input.