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Temporal synthesis attempts to construct reactive programs that satisfy a given declarative (LTL) formula. Practitioners have found it challenging to work exclusively with declarative specifications, and have found languages that combine…

Logic in Computer Science · Computer Science 2021-07-05 Shaun Azzopardi , Nir Piterman , Gerardo Schneider

This paper deals with the control synthesis problem for a continuous nonlinear dynamical system under a Linear Temporal Logic (LTL) formula. The proposed solution is a top-down hierarchical decomposition of the control problem involving…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Dimos V. Dimarogonas

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

Artificial Intelligence · Computer Science 2020-01-01 Alberto Camacho , Sheila A. McIlraith

Signal Temporal Logic (STL) has gained popularity in recent years as a specification language for cyber-physical systems, especially in robotics. Beyond being expressive and easy to understand, STL is appealing because the synthesis…

Robotics · Computer Science 2020-11-17 Vince Kurtz , Hai Lin

We present a new approach for the design of a synthetic biological circuit whose behaviour is specified in terms of signal temporal logic (STL) formulae. We first show how to characterise with STL formulae the input/output behaviour of…

Logic in Computer Science · Computer Science 2013-06-20 Ezio Bartocci , Luca Bortolussi , Laura Nenzi

This study considers the control problem with signal temporal logic (STL) specifications. Prior works have adopted smoothing techniques to address this problem within a feasible time frame and solve the problem by applying sequential…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Yoshinari Takayama , Kazumune Hashimoto , Toshiyuki Ohtsuka

We study the problem of controlling multi-agent systems under a set of signal temporal logic tasks. Signal temporal logic is a formalism that is used to express time and space constraints for dynamical systems. Recent methods to solve the…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Lars Lindemann , Dimos V. Dimarogonas

Continuous-time control of multiple quadrotors in constrained environments under signal temporal logic (STL) specifications is critical due to their nonlinear dynamics, safety constraints, and the requirement to ensure continuous-time…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yating Yuan , Yu Liu

We investigate the task and motion planning problem for dynamical systems under signal temporal logic (STL) specifications. Existing works on STL control synthesis mainly focus on generating plans that satisfy properties over a single…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Jianing Zhao , Bowen Ye , Xinyi Yu , Rupak Majumdar , Xiang Yin

This paper presents a method for synthesizing a reactive program which coordinates the actions of a group of other reactive programs, so that the combined system satisfies a temporal specification of its desired long-term behavior.…

Programming Languages · Computer Science 2019-11-12 Suguman Bansal , Kedar S. Namjoshi , Yaniv Sa'ar

We present the Temporal Logic Synthesis Format (TLSF), a high-level format to describe synthesis problems via Linear Temporal Logic (LTL). The format builds upon standard LTL, but additionally allows to use high-level constructs, such as…

Logic in Computer Science · Computer Science 2016-11-24 Swen Jacobs , Felix Klein , Sebastian Schirmer

This paper proposes a new highly scalable and asymptotically optimal control synthesis algorithm from linear temporal logic specifications, called $\text{STyLuS}^{*}$ for large-Scale optimal Temporal Logic Synthesis, that is designed to…

Robotics · Computer Science 2020-04-09 Yiannis Kantaros , Michael M. Zavlanos

Reactive synthesis is a key technique for the design of correct-by-construction systems and has been thoroughly investigated in the last decades. It consists in the synthesis of a controller that reacts to environment's inputs satisfying a…

Formal Languages and Automata Theory · Computer Science 2020-08-13 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

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

Executing a Golog program on an actual robot typically requires additional steps to account for hardware or software details of the robot platform, which can be formulated as constraints on the program. Such constraints are often temporal,…

Artificial Intelligence · Computer Science 2021-02-23 Till Hofmann , Gerhard Lakemeyer

There is an increasing demand for controller design techniques capable of addressing the complex requirements of todays embedded applications. This demand has sparked the interest in symbolic control where lower complexity models of control…

Optimization and Control · Mathematics 2015-03-14 Manuel Mazo , Paulo Tabuada

In this paper, we consider a control synthesis problem for a class of polynomial dynamical systems subject to bounded disturbances and with input constraints. More precisely, we aim at synthesizing at the same time a controller and an…

Optimization and Control · Mathematics 2011-07-11 Mohamed Amin Ben Sassi , Antoine Girard

Biological and advanced cyberphysical control systems often have limited, sparse, uncertain, and distributed communication and computing in addition to sensing and actuation. Fortunately, the corresponding plants and performance…

Systems and Control · Electrical Eng. & Systems 2019-07-08 Yuh-Shyang Wang , Nikolai Matni , John C. Doyle

In this paper, we investigate the control synthesis problem for Signal Temporal Logic (STL) specifications in the presence of uncontrollable agents. Existing works mainly address this problem in a robust control setting by assuming the…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Bohan Cui , Xinyi Yu , Alessandro Giua , Xiang Yin

We present the Temporal Logic Synthesis Format (TLSF), a high-level format to describe synthesis problems via Linear Temporal Logic (LTL). The format builds upon standard LTL, but additionally allows to use high level constructs, such as…

Logic in Computer Science · Computer Science 2016-01-21 Swen Jacobs , Felix Klein