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The successes of reinforcement learning in recent years are underpinned by the characterization of suitable reward functions. However, in settings where such rewards are non-intuitive, difficult to define, or otherwise error-prone in their…

Formal Languages and Automata Theory · Computer Science 2023-03-02 Mohammad Afzal , Sankalp Gambhir , Ashutosh Gupta , Krishna S , Ashutosh Trivedi , Alvaro Velasquez

Learning dynamical systems properties from data provides important insights that help us understand such systems and mitigate undesired outcomes. In this work, we propose a framework for learning spatio-temporal (ST) properties as formal…

Machine Learning · Computer Science 2022-11-08 Suhail Alsalehi , Erfan Aasi , Ron Weiss , Calin Belta

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

Learning robot control policies from demonstrations is a powerful paradigm, yet real-world data is often suboptimal, noisy, or otherwise imperfect, posing significant challenges for imitation and reinforcement learning. In this work, we…

Machine Learning · Computer Science 2026-04-07 Aniruddh G. Puranic , Sebastian Schirmer , John S. Baras , Calin Belta

We train hierarchical Transformers on the task of synthesizing hardware circuits directly out of high-level logical specifications in linear-time temporal logic (LTL). The LTL synthesis problem is a well-known algorithmic challenge with a…

Machine Learning · Computer Science 2021-07-27 Frederik Schmitt , Christopher Hahn , Markus N. Rabe , Bernd Finkbeiner

This paper explores continuous-time control synthesis for target-driven navigation to satisfy complex high-level tasks expressed as linear temporal logic (LTL). We propose a model-free framework using deep reinforcement learning (DRL) where…

Robotics · Computer Science 2023-03-17 Mingyu Cai , Makai Mann , Zachary Serlin , Kevin Leahy , Cristian-Ioan Vasile

Reinforcement Learning (RL) is a widely employed machine learning architecture that has been applied to a variety of control problems. However, applications in safety-critical domains require a systematic and formal approach to specifying…

Machine Learning · Computer Science 2023-06-07 Hosein Hasanbeig , Daniel Kroening , Alessandro Abate

Automaton based approaches have enabled robots to perform various complex tasks. However, most existing automaton based algorithms highly rely on the manually customized representation of states for the considered task, limiting its…

Robotics · Computer Science 2023-07-18 Hao Zhang , Hao Wang , Zhen Kan

We develop an algorithm for the motion and task planning of a system comprised of multiple robots and unactuated objects under tasks expressed as Linear Temporal Logic (LTL) constraints. The robots and objects evolve subject to uncertain…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Christos K. Verginis , Yiannis Kantaros , Dimos V. Dimarogonas

Linear temporal logic (LTL) is widely used in industrial verification. LTL formulae can be learned from traces. Scaling LTL formula learning is an open problem. We implement the first GPU-based LTL learner using a novel form of enumerative…

Programming Languages · Computer Science 2024-03-29 Mojtaba Valizadeh , Nathanaël Fijalkow , Martin Berger

Signal Temporal Logic (STL) offers a concise yet expressive framework for specifying and reasoning about spatio-temporal behaviors of robotic systems. Attractively, STL admits the notion of robustness, the degree to which an input signal…

Robotics · Computer Science 2025-09-16 Parv Kapoor , Kazuki Mizuta , Eunsuk Kang , Karen Leung

Robotics foundation models have demonstrated strong capabilities in executing natural language instructions across diverse tasks and environments. However, they remain largely data-driven and lack formal guarantees on safety and…

Robotics · Computer Science 2026-03-19 Sadık Bera Yüksel , Derya Aksaray

Learning linear temporal logic (LTL) formulas from examples labeled as positive or negative has found applications in inferring descriptions of system behavior. We summarize two methods to learn LTL formulas from examples in two different…

Logic in Computer Science · Computer Science 2022-12-05 Jean-Raphaël Gaglione , Rajarshi Roy , Nasim Baharisangari , Daniel Neider , Zhe Xu , Ufuk Topcu

Differentiable logics (DL) have recently been proposed as a method of training neural networks to satisfy logical specifications. A DL consists of a syntax in which specifications are stated and an interpretation function that translates…

Logic in Computer Science · Computer Science 2023-10-06 Natalia Ślusarz , Ekaterina Komendantskaya , Matthew L. Daggitt , Robert Stewart , Kathrin Stark

We propose an approach to formally specifying the behavioral properties of systems that rely on a perception model for interactions with the physical world. The key idea is to introduce embeddings -- mathematical representations of a…

Artificial Intelligence · Computer Science 2025-03-07 Parv Kapoor , Abigail Hammer , Ashish Kapoor , Karen Leung , Eunsuk Kang

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

Machine Learning · Computer Science 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

We provide a dynamic programming algorithm for the monitoring of a fragment of Timed Propositional Temporal Logic (TPTL) specifications. This fragment of TPTL, which is more expressive than Metric Temporal Logic, is characterized by…

Logic in Computer Science · Computer Science 2016-12-12 Adel Dokhanchi , Bardh Hoxha , Cumhur Erkan Tuncali , Georgios Fainekos

We study the problem of learning linear temporal logic (LTL) formulas from examples, as a first step towards expressing a property separating positive and negative instances in a way that is comprehensible for humans. In this paper we…

Machine Learning · Computer Science 2023-12-29 Corto Mascle , Nathanaël Fijalkow , Guillaume Lagarde

Virtually all verification and synthesis techniques assume that the formal specifications are readily available, functionally correct, and fully match the engineer's understanding of the given system. However, this assumption is often…

Formal Languages and Automata Theory · Computer Science 2022-06-15 Simon Lutz , Daniel Neider , Rajarshi Roy

Demonstration-guided reinforcement learning (RL) is a promising approach for learning complex behaviors by leveraging both reward feedback and a set of target task demonstrations. Prior approaches for demonstration-guided RL treat every new…

Machine Learning · Computer Science 2021-07-22 Karl Pertsch , Youngwoon Lee , Yue Wu , Joseph J. Lim