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Program transformations are widely used in synthesis, optimization, and maintenance of software. Correctness of program transformations depends on preservation of some important properties of the input program. By regarding programs as…

Logic in Computer Science · Computer Science 2012-09-25 Aditya Kanade , Amitabha Sanyal , Uday P. Khedker

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

This paper investigates the online monitoring problem for cyber-physical systems under signal temporal logic (STL) specifications. The objective is to design an online monitor that evaluates system correctness at runtime based on partial…

Optimization and Control · Mathematics 2025-05-27 Tao Han , Shaoyuan Li , Xiang Yin

This paper considers the problem of controller synthesis of signal temporal logic (STL) specifications for large-scale multi-agent systems, where the agents are dynamically coupled and subject to collaborative tasks. A compositional…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Siyuan Liu , Adnane Saoud , Dimos V. Dimarogonas

In real-time and safety-critical cyber-physical systems (CPSs), control synthesis must guarantee that generated policies meet stringent timing and correctness requirements under uncertain and dynamic conditions. Signal temporal logic (STL)…

Artificial Intelligence · Computer Science 2025-10-10 Xiaochen Tang , Zhenya Zhang , Miaomiao Zhang , Jie An

Runtime monitoring is commonly used to detect the violation of desired properties in safety critical cyber-physical systems by observing its executions. Bauer et al. introduced an influential framework for monitoring Linear Temporal Logic…

Formal Languages and Automata Theory · Computer Science 2022-09-13 Corto Mascle , Daniel Neider , Maximilian Schwenger , Paulo Tabuada , Alexander Weinert , Martin Zimmermann

Cyber-physical systems often encompass complex concurrent behavior with timing constraints and probabilistic failures on demand. The analysis whether such systems with probabilistic timed behavior ad-here to a given specification is…

Software Engineering · Computer Science 2021-06-17 Sven Schneider , Maria Maximova , Holger Giese

We propose a mathematical framework for synthesizing motion plans for multi-agent systems that fulfill complex, high-level and formal local specifications in the presence of inter-agent communication. The proposed synthesis framework…

Systems and Control · Computer Science 2017-06-01 Zhiyu Liu , Jin Dai , Bo Wu , Hai Lin

Real-world robotic systems must comply with safety requirements in the presence of uncertainty. To define and measure requirement adherence, Signal Temporal Logic (STL) offers a mathematically rigorous and expressive language. However,…

Logic in Computer Science · Computer Science 2025-11-04 Elizabeth Dietrich , Hanna Krasowski , Emir Cem Gezer , Roger Skjetne , Asgeir Johan Sørensen , Murat Arcak

Signal Temporal Logic (STL) is a powerful framework for describing the complex temporal and logical behaviour of the dynamical system. Numerous studies have attempted to employ reinforcement learning to learn a controller that enforces STL…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Naman Saxena , Gorantla Sandeep , Pushpak Jagtap

This paper presents a technique, named STLCG, to compute the quantitative semantics of Signal Temporal Logic (STL) formulas using computation graphs. STLCG provides a platform which enables the incorporation of logical specifications into…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Karen Leung , Nikos Aréchiga , Marco Pavone

One of the advantages of adopting a Model Based Development (MBD) process is that it enables testing and verification at early stages of development. However, it is often desirable to not only verify/falsify certain formal system…

Logic in Computer Science · Computer Science 2017-02-07 Bardh Hoxha , Adel Dokhanchi , Georgios Fainekos

Motivated by the recent interest in risk-aware control, we study a continuous-time control synthesis problem to bound the risk that a stochastic linear system violates a given specification. We use risk signal temporal logic as a…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Sleiman Safaoui , Lars Lindemann , Iman Shames , Tyler H. Summers

Time series classification is a task of paramount importance, as this kind of data often arises in safety-critical applications. However, it is typically tackled with black-box deep learning methods, making it hard for humans to understand…

Machine Learning · Computer Science 2025-08-28 Irene Ferfoglia , Simone Silvetti , Gaia Saveri , Laura Nenzi , Luca Bortolussi

The control synthesis of a dynamic system subject to a signal temporal logic (STL) specification is commonly formulated as a mixed-integer linear/convex programming (MILP/MICP) problem. Solving such a problem is computationally expensive…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Zengjie Zhang , Sofie Haesaert

Many complex cyber-physical systems can be modeled as heterogeneous components interacting with each other in real-time. We assume that the correctness of each component can be specified as a requirement satisfied by the output signals…

Machine Learning · Computer Science 2020-05-19 Sara Mohammadinejad , Jyotirmoy V. Deshmukh , Aniruddh G. Puranic

In this paper, we propose a sampling-based motion planning algorithm that finds an infinite path satisfying a Linear Temporal Logic (LTL) formula over a set of properties satisfied by some regions in a given environment. The algorithm has…

Robotics · Computer Science 2013-07-30 Cristian Ioan Vasile , Calin Belta

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

In this paper, we define a novel census signal temporal logic (CensusSTL) that focuses on the number of agents in different subsets of a group that complete a certain task specified by the signal temporal logic (STL). CensusSTL consists of…

Artificial Intelligence · Computer Science 2016-10-19 Zhe Xu , Agung Julius

We present a hierarchical framework for analysing propositional linear-time temporal logic (PTL) to obtain standard results such as a small model property, decision procedures and axiomatic completeness. Both finite time and infinite time…

Logic in Computer Science · Computer Science 2007-05-23 Ben Moszkowski