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Related papers: Metrics for Signal Temporal Logic Formulae

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In this work, we develop an approach to anomaly detection and prevention problem using Signal Temporal Logic (STL). This approach consists of two steps: detection of the causes of the anomalities as STL formulas and prevention of the…

Formal Languages and Automata Theory · Computer Science 2020-03-24 Irmak Saglam , Ebru Aydin Gol

A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals…

Logic in Computer Science · Computer Science 2022-08-30 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) extend Linear Temporal Logic (LTL) for real-time constraints, with MTL using time-bounded modalities and TPTL employing freeze quantifiers. Satisfiability for both is…

Logic in Computer Science · Computer Science 2024-11-04 Shankara Narayanan Krishna , Khushraj Madnani , Agnipratim Nag , Paritosh Pandya

Modeling dynamical biological systems is key for understanding, predicting, and controlling complex biological behaviors. Traditional methods for identifying governing equations, such as ordinary differential equations (ODEs), typically…

Molecular Networks · Quantitative Biology 2024-12-23 Hanna Krasowski , Eric Palanques-Tost , Calin Belta , Murat Arcak

We propose the Robustness Temporal Logic (RobTL), a novel temporal logic for the specification and analysis of distances between the behaviours of Cyber-Physical Systems (CPSs) over a finite time horizon. Differently from classical temporal…

Logic in Computer Science · Computer Science 2022-12-22 Valentina Castiglioni , Michele Loreti , Simone Tini

Seamlessly integrating rules in Learning-from-Demonstrations (LfD) policies is a critical requirement to enable the real-world deployment of AI agents. Recently, Signal Temporal Logic (STL) has been shown to be an effective language for…

Robotics · Computer Science 2025-03-06 Jasmine Jerry Aloor , Jay Patrikar , Parv Kapoor , Jean Oh , Sebastian Scherer

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

Signal Temporal Logic (STL) is a formal language for specifying real-time behaviors of cyber-physical systems (CPS). Automatically transforming natural language requirements into STL specifications has received growing attention. Recent…

Software Engineering · Computer Science 2026-05-05 Yue Fang , Zhi Jin , Jie An , Hongshen Chen , Xiaohong Chen , Naijun Zhan

The reliability of autonomous systems depends on their robustness, i.e., their ability to meet their objectives under uncertainty. In this paper, we study spatiotemporal robustness of temporal logic specifications evaluated over…

Artificial Intelligence · Computer Science 2026-05-19 Oliver Schön , Lars Lindemann

Linear Temporal Logic (LTL) is a widely used specification framework for linear time properties of systems. The standard approach for verifying such properties is by transforming LTL formulae to suitable $\omega$-automata and then applying…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Martin Sulzmann , Peter Thiemann

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

We reformulate the signal temporal logic (STL) synthesis problem as a maximum a-posteriori (MAP) inference problem. To this end, we introduce the notion of random STL~(RSTL), which extends deterministic STL with random predicates. This new…

Robotics · Computer Science 2021-05-14 Ki Myung Brian Lee , Chanyeol Yoo , Robert Fitch

The timed position of documents retrieved by learning to rank models can be seen as signals. Signals carry useful information such as drop or rise of documents over time or user behaviors. In this work, we propose to use the logic formalism…

Logic in Computer Science · Computer Science 2021-01-15 Tommaso Dreossi , Giorgio Ballardin , Parth Gupta , Jan Bakus , Yu-Hsiang Lin , Vamsi Salaka

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

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

We propose a measure and a metric on the sets of infinite traces generated by a set of atomic propositions. To compute these quantities, we first map properties to subsets of the real numbers and then take the Lebesgue measure of the…

Logic in Computer Science · Computer Science 2018-12-11 Íñigo Íncer Romeo , Marten Lohstroh , Antonio Iannopollo , Edward A. Lee , Alberto Sangiovanni-Vincentelli

We develop an assume-guarantee contract framework for the design of cyber-physical systems, modeled as closed-loop control systems, under probabilistic requirements. We use a variant of signal temporal logic, namely, Stochastic Signal…

Systems and Control · Computer Science 2017-07-03 Jiwei Li , Pierluigi Nuzzo , Alberto Sangiovanni-Vincentelli , Yugeng Xi , Dewei Li

We present a novel method for imitation learning for control requirements expressed using Signal Temporal Logic (STL). More concretely we focus on the problem of training a neural network to imitate a complex controller. The learning…

Robotics · Computer Science 2024-03-26 Thao Dang , Alexandre Donzé , Inzemamul Haque , Nikolaos Kekatos , Indranil Saha

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

We propose a reachability-based framework for reliable LLM-guided human-autonomy teaming (HAT) using signal temporal logic (STL). In the proposed framework, LLM is leveraged as a translator that transfers natural language commands given by…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Joonwon Choi , Kartik Anand Pant , Karthik Nune , Inseok Hwang