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On-Line Monitoring for Temporal Logic Robustness

arXiv 1408.0045 ↗First posted 31 Jul 2014eess.SY cs.SYcited by 15

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Abstract (arXiv)

In this paper, we provide a Dynamic Programming algorithm for on-line monitoring of the state robustness of Metric Temporal Logic specifications with past time operators. We compute the robustness of MTL with unbounded past and bounded future temporal operators MTL over sampled traces of Cyber-Physical Systems. We implemented our tool in Matlab as a Simulink block that can be used in any Simulink model. We experimentally demonstrate that the overhead of the MTL robustness monitoring is acceptable for certain classes of practical specifications.

Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Jul 2014.

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Citing papers per year: 2021: 5; 2022: 1; 2023: 2; 2024: 2; 2025: 1; 2026: 4.

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  1. 2021Model-Free Reinforcement Learning for Optimal Control of MarkovDecision Processes Under Signal Temporal Logic Specificationscited by 10
  2. 2024Temporal Logic Specification-Conditioned Decision Transformer for Offline Safe Reinforcement Learningcited by 10
  3. 2021Part-X: A Family of Stochastic Algorithms for Search-Based Test Generation with Probabilistic Guaranteescited by 6
  4. 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Networkcited by 4
  5. 2021Safe Model-based Control from Signal Temporal Logic Specifications Using Recurrent Neural Networkscited by 3
  6. 2023Synthesizing Efficiently Monitorable Formulas in Metric Temporal Logiccited by 3
  7. 2023Learning-Based Approaches to Predictive Monitoring with Conformal Statistical Guaranteescited by 2
  8. 2021Deep Reinforcement Learning Based Networked Control with Network Delays for Signal Temporal Logic Specificationscited by 1
  9. 2026Shielded Reinforcement Learning Under Dynamic Temporal Logic Constraintscited by 1
  10. 2026Spatiotemporal Robustness of Temporal Logic Tasks using Multi-Objective Reasoningcited by 1
  11. 2021Provably Correct Controller Synthesis of Switched Stochastic Systems with Metric Temporal Logic Specifications: A Case Study on Power Systemscited by 0
  12. 2024Safety Verification and Navigation for Autonomous Vehicles based on Signal Temporal Logic Constraintscited by 0
3 more
  1. 2025Control Synthesis of Cyber-Physical Systems for Real-Time Specifications through Causation-Guided Reinforcement Learningcited by 0
  2. 2026Specification-Aware Distribution Shaping for Robotics Foundation Modelscited by 0
  3. 2026Vision-Based Runtime Monitoring under Varying Specifications using Semantic Latent Representationscited by 0