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This paper presents an algorithmic framework for control synthesis of continuous dynamical systems subject to signal temporal logic (STL) specifications. We propose a novel algorithm to obtain a time-partitioned finite automaton from an STL…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Qi Heng Ho , Roland B. Ilyes , Zachary N. Sunberg , Morteza Lahijanian

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

Reactive synthesis builds a system from a specification given as a temporal logic formula. Traditionally, reactive synthesis is defined for systems with Boolean input and output variables. Recently, new theories and techniques have been…

Logic in Computer Science · Computer Science 2021-08-03 Benedikt Maderbacher , Roderick Bloem

We extend previous work on symbolic self-triggered control for non-deterministic continuous-time nonlinear systems without stability assumptions to a larger class of specifications. Our goal is to synthesise a controller for two objectives:…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

In the mid 80s, Lichtenstein, Pnueli, and Zuck showed that every formula of Past LTL (the extension of Linear Temporal Logic with past operators) is equivalent to a conjunction of formulas of the form $\mathbf{G}\mathbf{F} \varphi \vee…

Logic in Computer Science · Computer Science 2023-04-20 Javier Esparza , Ruben Rubio , Salomon Sickert

Automata over infinite words, also known as omega-automata, play a key role in the verification and synthesis of reactive systems. The spectrum of omega-automata is defined by two characteristics: the acceptance condition (e.g. B\"uchi or…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

Linear temporal logic was introduced in order to reason about reactive systems. It is often considered with respect to infinite words, to specify the behaviour of long-running systems. One can consider more general models for linear time,…

Logic in Computer Science · Computer Science 2011-01-11 Julien Cristau

This paper studies the control synthesis of motion planning subject to uncertainties. The uncertainties are considered in robot motions and environment properties, giving rise to the probabilistic labeled Markov decision process (PL-MDP). A…

Robotics · Computer Science 2023-01-31 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

We propose to synthesize a control policy for a Markov decision process (MDP) such that the resulting traces of the MDP satisfy a linear temporal logic (LTL) property. We construct a product MDP that incorporates a deterministic Rabin…

Systems and Control · Computer Science 2014-09-22 Dorsa Sadigh , Eric S. Kim , Samuel Coogan , S. Shankar Sastry , Sanjit A. Seshia

Synthesizing a reactive system from specifications given in linear temporal logic (LTL) is a classical problem, finding its applications in safety-critical systems design. We present our tool SemML, which won this year's LTL realizability…

Artificial Intelligence · Computer Science 2025-04-18 Jan Kretinsky , Tobias Meggendorfer , Maximilian Prokop , Ashkan Zarkhah

This paper studies the online control synthesis problem for uncertain discrete-time systems subject to signal temporal logic (STL) specifications. Different from existing techniques, this work proposes an approach based on STL, reachability…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Pian Yu , Yulong Gao , Frank J. Jiang , Karl H. Johansson , Dimos V. Dimarogonas

We present a reinforcement learning (RL) framework to synthesize a control policy from a given linear temporal logic (LTL) specification in an unknown stochastic environment that can be modeled as a Markov Decision Process (MDP).…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

We introduce a tableau decision method for deciding realizability of specifications expressed in a safety fragment of LTL that includes bounded future temporal operators. Tableau decision procedures for temporal and modal logics have been…

Logic in Computer Science · Computer Science 2022-06-06 Montserrat Hermo , Paqui Lucio , César Sánchez

Chains of co-Buechi automata (COCOA) have recently been introduced as a new canonical representation of omega-regular languages. The co-Buechi automata in a chain assign to each omega-word its natural color, which depends only on the…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Rüdiger Ehlers , Ayrat Khalimov

The majority of existing Linear Temporal Logic (LTL) planning methods rely on the construction of a discrete product automaton, that combines a discrete abstraction of robot mobility and a B$\ddot{\text{u}}$chi automaton that captures the…

Robotics · Computer Science 2021-03-24 Xusheng Luo , Yiannis Kantaros , Michael M. Zavlanos

We study the problem of synthesizing control strategies for Linear Temporal Logic (LTL) objectives in unknown environments. We model this problem as a turn-based zero-sum stochastic game between the controller and the environment, where the…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael Zavlanos , Miroslav Pajic

The classical LTL synthesis problem is purely qualitative: the given LTL specification is realized or not by a reactive system. LTL is not expressive enough to formalize the correctness of reactive systems with respect to some quantitative…

Logic in Computer Science · Computer Science 2013-01-10 Aaron Bohy , Véronique Bruyère , Emmanuel Filiot , Jean-François Raskin

Linear Temporal Logic (LTL) provides a rigorous framework for specifying long-horizon robotic tasks, yet existing approaches face a trade-off: model-based synthesis relies on accurate labeled transition systems, whereas learning-based…

Robotics · Computer Science 2026-05-13 Ruijia Liu , Ancheng Hou , Xiang Yin

In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to every other agent in the network and possibly a human…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Hans Riess , Yiannis Kantaros , George Pappas , Robert Ghrist