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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

Formal methods provide very powerful tools and techniques for the design and analysis of complex systems. Their practical application remains however limited, due to the widely accepted belief that formal methods require extensive expertise…

Computation and Language · Computer Science 2022-03-25 Jie He , Ezio Bartocci , Dejan Ničković , Haris Isakovic , Radu Grosu

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

DatalogMTL is an extension of Datalog with operators from metric temporal logic which has received significant attention in recent years. It is a highly expressive knowledge representation language that is well-suited for applications in…

Artificial Intelligence · Computer Science 2022-01-13 Dingmin Wang , Pan Hu , Przemysław Andrzej Wałęga , Bernardo Cuenca Grau

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

In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

Autonomous agents often operate in uncertain environments where their decisions are made based on beliefs over states of targets. We are interested in controller synthesis for complex tasks defined over belief spaces. Designing such…

Systems and Control · Computer Science 2015-10-30 Chanyeol Yoo , Calin Belta

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

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

Temporal logics are powerful tools that are widely used for the synthesis and verification of reactive systems. The recent progress on Large Language Models (LLMs) has the potential to make the process of writing such specifications more…

Machine Learning · Computer Science 2024-06-12 William Murphy , Nikolaus Holzer , Nathan Koenig , Leyi Cui , Raven Rothkopf , Feitong Qiao , Mark Santolucito

Propositional Linear Temporal Logic (LTL) is a popular formalism for specifying desirable requirements and security and privacy policies for software, networks, and systems. Yet expressing such requirements and policies in LTL remains…

Logic in Computer Science · Computer Science 2026-04-09 Priscilla Kyei Danso , Mohammad Saqib Hasan , Niranjan Balasubramanian , Omar Chowdhury

Modern cyber-physical systems are complex, and requirements are often written in Signal Temporal Logic (STL). Writing the right STL is difficult in practice; engineers benefit from concrete executions that illustrate what a specification…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Martin Jouve-Genty , Han Su , Sota Sato , Jie An , Zhenya Zhang , Ichiro Hasuo

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 widely used to specify timed and safety-critical tasks for cyber-physical systems, but writing STL formulas directly is difficult for non-expert users. Natural language (NL) provides a convenient interface,…

Computation and Language · Computer Science 2026-03-31 Kosei Fushimi , Kazunobu Serizawa , Junya Ikemoto , Kazumune Hashimoto

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 investigate how formal temporal logic specifications can enhance the safety and robustness of reinforcement learning (RL) control in aerospace applications. Using the open source AeroBench F-16 simulation benchmark, we train a Proximal…

Machine Learning · Computer Science 2026-02-24 Hani Beirami , M M Manjurul Islam

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) is a powerful tool for describing complex behaviors for dynamical systems. Among many approaches, the control problem for systems under STL task constraints is well suited for learning-based solutions, because…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Peter Varnai , Dimos V. Dimarogonas

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

We introduce a metric that can quantify the temporal relaxation of Signal Temporal Logic (STL) specifications and facilitate resilient control synthesis in the face of infeasibilities. The proposed metric quantifies a cumulative notion of…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Ali Tevfik Buyukkocak , Derya Aksaray