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Signal Temporal Logic (STL) is a widely adopted specification language in cyber-physical systems for expressing critical temporal requirements, such as safety conditions and response time. However, STL's expressivity is not sufficient to…

Logic in Computer Science · Computer Science 2025-04-15 Hongkai Chen , Zeyu Zhang , Shouvik Roy , Ezio Bartocci , Scott A. Smolka , Scott D. Stoller , Shan Lin

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

Researchers have previously proposed augmenting Signal Temporal Logic (STL) with the value freezing operator in order to express engineering properties that cannot be expressed in STL. This augmented logic is known as STL*. The previous…

Logic in Computer Science · Computer Science 2024-10-01 Bassem Ghorbel , Vinayak S. Prabhu

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…

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

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) 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 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) 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

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…

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), has recently seen extensive development, owing to its rich expressivenes for autonomous planning and control. Nevertheless, existing verification and control synthesis methods are limited with respect to the…

Robotics · Computer Science 2026-05-28 Panagiotis Rousseas , Dimos V. Dimarogonas

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

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

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

Many complex scenarios require the coordination of agents possessing unique points of view and distinct semantic commitments. In response, standpoint logic (SL) was introduced in the context of knowledge integration, allowing one to reason…

Artificial Intelligence · Computer Science 2023-04-28 Nicola Gigante , Lucia {Gomez Alvarez} , Tim S. Lyon

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

There has been a growing interest in extracting formal descriptions of the system behaviors from data. Signal Temporal Logic (STL) is an expressive formal language used to describe spatial-temporal properties with interpretability. This…

Logic in Computer Science · Computer Science 2024-05-16 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

Much of the recent work developing formal methods techniques to specify or learn the behavior of autonomous systems is predicated on a belief that formal specifications are interpretable and useful for humans when checking systems. Though…

Artificial Intelligence · Computer Science 2023-05-30 Ho Chit Siu , Kevin Leahy , Makai Mann
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