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Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

Signal Temporal Logic (STL) is a formalism used to rigorously specify requirements of cyberphysical systems (CPS), i.e., systems mixing digital or discrete components in interaction with a continuous environment or analog com- ponents. STL…

Systems and Control · Computer Science 2015-06-30 Jyotirmoy V. Deshmukh , Alexandre Donzé , Shromona Ghosh , Xiaoqing Jin , Garvit Juniwal , Sanjit A. Seshia

To express temporal properties of dense-time real-valued signals, the Signal Temporal Logic (STL) has been defined by Maler et al. The work presented a monitoring algorithm deciding the satisfiability of STL formulae on finite discrete…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Petr Dluhoš , Luboš Brim , David Šafránek

Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

We present Stratified Metric Temporal Logic (SMTL), a novel formalism for specifying and verifying properties of complex cyber-physical systems that exhibit behaviors across multiple temporal and abstraction scales. SMTL extends existing…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Ali Baheri , Peng Wei

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program.…

Logic in Computer Science · Computer Science 2021-03-17 Hammad Ahmad , Jean-Baptiste Jeannin

We present a mathematical programming-based method for model predictive control of cyber-physical systems subject to signal temporal logic (STL) specifications. We describe the use of STL to specify a wide range of properties of these…

The integration of cyber-physical systems (CPS) into everyday life raises the critical necessity of ensuring their safety and reliability. An important step in this direction is requirement mining, i.e. inferring formally specified system…

Machine Learning · Computer Science 2024-05-24 Gaia Saveri , Luca Bortolussi

We present a framework to synthesize control policies for nonlinear dynamical systems from complex temporal constraints specified in a rich temporal logic called Signal Temporal Logic (STL). We propose a novel smooth and differentiable STL…

Systems and Control · Computer Science 2019-04-29 Iman Haghighi , Noushin Mehdipour , Ezio Bartocci , Calin Belta

Signal Temporal Logic (STL) is an expressive formal language for specifying spatio-temporal requirements over real-valued, real-time signals. It has been widely used for the verification and synthesis of autonomous systems and…

Artificial Intelligence · Computer Science 2026-05-12 Bowen Ye , Zhijian Li , Junyue Huang , Junkai Ma , Xiang Yin

Signal Temporal Logic (STL) is a formal language over continuous-time signals (such as trajectories of a multi-agent system) that allows for the specification of complex spatial and temporal system requirements (such as staying sufficiently…

Robotics · Computer Science 2023-10-17 Joris Verhagen , Lars Lindemann , Jana Tumova

We propose an interval extension of Signal Temporal Logic (STL) called Interval Signal Temporal Logic (\ISTL). Given an STL formula, we consider an interval inclusion function for each of its predicates. Then, we use minimal inclusion…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Luke Baird , Akash Harapanahalli , Samuel Coogan

We present a robust control framework for time-critical systems in which satisfying real-time constraints robustly is of utmost importance for the safety of the system. Signal Temporal Logic (STL) provides a formal means to express a large…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Alena Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas

Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

Signal Temporal Logic (STL) is an efficient technique for describing temporal constraints. It can play a significant role in robotic manipulation, for example, to optimize the robot performance according to task-dependent metrics. In this…

Robotics · Computer Science 2021-10-04 Akshay Dhonthi , Philipp Schillinger , Leonel Rozo , Daniele Nardi

Many Cyber Physical System (CPS) work in a safety-critical environment, where correct execution, reliability and trustworthiness are essential. Signal Temporal Logic (STL) provides a formal framework for checking safety-critical CPS.…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Partha Roop , Sobhan Chatterjee , Avinash Malik , Nathan Allen , Logan Kenwright

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

Trajectory planning is a critical process that enables autonomous systems to safely navigate complex environments. Signal temporal logic (STL) specifications are an effective way to encode complex temporally extended objectives for…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Parv Kapoor , Eunsuk Kang , Romulo Meira-Goes

We present SaSTL -- a novel Spatial Aggregation Signal Temporal Logic -- for the efficient runtime monitoring of safety and performance requirements in smart cities. We first describe a study of over 1,000 smart city requirements, some of…

Computers and Society · Computer Science 2021-12-16 Meiyi Ma , Ezio Bartocci , Eli Lifland , John Stankovic , Lu Feng

We introduce a new logic called Signal Convolution Logic (SCL) that combines temporal logic with convolutional filters from digital signal processing. SCL enables to reason about the percentage of time a formula is satisfied in a bounded…

Logic in Computer Science · Computer Science 2018-09-18 Simone Silvetti , Laura Nenzi , Ezio Bartocci , Luca Bortolussi
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