A Logic for Monitoring Dynamic Networks of Spatially-distributed Cyber-Physical Systems

Abstract

Cyber-Physical Systems (CPS) consist of inter-wined computational (cyber) and physical components interacting through sensors and/or actuators. Computational elements are networked at every scale and can communicate with each other and with humans. Nodes can join and leave the network at any time or they can move to different spatial locations. In this scenario, monitoring spatial and temporal properties plays a key role in the understanding of how complex behaviors can emerge from local and dynamic interactions. We revisit here the Spatio-Temporal Reach and Escape Logic (STREL), a logic-based formal language designed to express and monitor spatio-temporal requirements over the execution of mobile and spatially distributed CPS. STREL considers the physical space in which CPS entities (nodes of the graph) are arranged as a weighted graph representing their dynamic topological configuration. Both nodes and edges include attributes modeling physical and logical quantities that can evolve over time. STREL combines the Signal Temporal Logic with two spatial modalities reach and escape that operate over the weighted graph. From these basic operators, we can derive other important spatial modalities such as everywhere, somewhere and surround. We propose both qualitative and quantitative semantics based on constraint semiring algebraic structure. We provide an offline monitoring algorithm for STREL and we show the feasibility of our approach with the application to two case studies: monitoring spatio-temporal requirements over a simulated mobile ad-hoc sensor network and a simulated epidemic spreading model for COVID19.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1904.08847

References in corpus (8)

• Epidemic processes in complex networks
• The early phase of the COVID-19 outbreak in Lombardy, Italy
• A Roadmap Towards Resilient Internet of Things for Cyber-Physical Systems
• Monitoring Mobile and Spatially Distributed Cyber-Physical Systems
• Predictive Monitoring with Logic-Calibrated Uncertainty for Cyber-Physical Systems
• An Active Learning Approach to the Falsification of Black Box Cyber-Physical Systems
• Neural Network-based Control for Multi-Agent Systems from Spatio-Temporal Specifications
• Automatic Optimizations for Stream-based Monitoring Languages

Cited by in corpus (4)

• Geometric Model Checking of Continuous Space
• Software Engineering for Collective Cyber-Physical Ecosystems
• Monitoring Spatially Distributed Cyber-Physical Systems with Alternating Finite Automata
• Bayesian Machine Learning meets Formal Methods: An application to spatio-temporal data