Constraints Satisfiability Driven Reinforcement Learning for Autonomous Cyber Defense
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Abstract (arXiv)
With the increasing system complexity and attack sophistication, the necessity of autonomous cyber defense becomes vivid for cyber and cyber-physical systems (CPSs). Many existing frameworks in the current state-of-the-art either rely on static models with unrealistic assumptions, or fail to satisfy the system safety and security requirements. In this paper, we present a new hybrid autonomous agent architecture that aims to optimize and verify defense policies of reinforcement learning (RL) by incorporating constraints verification (using satisfiability modulo theory (SMT)) into the agent's decision loop. The incorporation of SMT does not only ensure the satisfiability of safety and security requirements, but also provides constant feedback to steer the RL decision-making toward safe and effective actions. This approach is critically needed for CPSs that exhibit high risk due to safety or security violations. Our evaluation of the presented approach in a simulated CPS environment shows that the agent learns the optimal policy fast and defeats diversified attack strategies in 99% cases.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 3 of its 12 references that are in the map. First posted on arXiv 19 Apr 2021.
Builds on
3 of 12 references.
References · 3
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2019Deep Reinforcement Learning for Cyber Securitycited by 95
- 2018Cyber-Security in Smart Grid: Survey and Challengescited by 13
Built on by
Citing papers per year: 2022: 1; 2023: 2; 2024: 0; 2025: 1.
4 papers.
- 2023Learning Near-Optimal Intrusion Responses Against Dynamic Attackerscited by 15
- 2022Learning Security Strategies through Game Play and Optimal Stoppingcited by 5
- 2023Deep Reinforcement Learning for Cyber System Defense under Dynamic Adversarial Uncertaintiescited by 3
- 2025Large Language Model-Based Reward Design for Deep Reinforcement Learning-Driven Autonomous Cyber Defensecited by 1
- 2025Large Language Model-Based Reward Design for Deep Reinforcement Learning-Driven Autonomous Cyber Defense20 Nov 2025
- 2023Deep Reinforcement Learning for Cyber System Defense under Dynamic Adversarial Uncertainties3 Feb 2023
- 2023Learning Near-Optimal Intrusion Responses Against Dynamic Attackers11 Jan 2023
- 2022Learning Security Strategies through Game Play and Optimal Stopping29 May 2022