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In this paper, a method for learning a recurrent neural network (RNN) controller that maximizes the robustness of signal temporal logic (STL) specifications is presented. In contrast to previous methods, we consider synthesizing the RNN…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Wataru Hashimoto , Kazumune Hashimoto , Shigemasa Takai

We develop model checking algorithms for Temporal Stream Logic (TSL) and Hyper Temporal Stream Logic (HyperTSL) modulo theories. TSL extends Linear Temporal Logic (LTL) with memory cells, functions and predicates, making it a convenient and…

Logic in Computer Science · Computer Science 2023-03-28 Bernd Finkbeiner , Hadar Frenkel , Jana Hofmann , Janine Lohse

Reactive synthesis is an automated procedure to obtain a correct-by-construction reactive system from a given specification. GR(1) is a well-known fragment of linear temporal logic (LTL) where synthesis is possible using a polynomial…

Software Engineering · Computer Science 2016-02-04 Shahar Maoz , Jan Oliver Ringert

We propose a Reinforcement Learning (RL) based control design framework for handling complex tasks. The approach extends the concept of Reward Machines (RM) with Signal Temporal Logic (STL) formulas that can be used for event generation.…

Artificial Intelligence · Computer Science 2026-04-17 Ana María Gómez Ruiz , Thao Dang , Alexandre Donzé

Privacy is an important concern in various multiagent systems in which data collected from the agents are sensitive. We propose a differentially private controller synthesis approach for multi-agent systems subject to high-level…

Systems and Control · Electrical Eng. & Systems 2019-10-01 Zhe Xu , Kasra Yazdani , Matthew T. Hale , Ufuk Topcu

Reactive synthesis from high-level specifications that combine hard constraints expressed in Linear Temporal Logic LTL with soft constraints expressed by discounted-sum (DS) rewards has applications in planning and reinforcement learning.…

Artificial Intelligence · Computer Science 2022-05-24 Suguman Bansal , Lydia Kavraki , Moshe Y. Vardi , Andrew Wells

This paper presents a novel method of synthesizing a fragment of a timed discrete event system(TDES),introducing a novel linear temporal logic(LTL), called ticked LTL$_f$. The ticked LTL$_f$ is given as an extension to LTL$_f$, where the…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Takuma Kinugawa , Kazumune Hashimoto , Toshimitsu Ushio

We propose a counterexample-guided inductive synthesis framework for the formal synthesis of closed-form sampled-data controllers for nonlinear systems to meet STL specifications over finite-time trajectories. Rather than stating the STL…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Cees F. Verdier , Niklas Kochdumper , Matthias Althoff , Manuel Mazo

The idea of automatic synthesis of reactive programs starting from temporal logic (LTL) specifications is quite old, but was commonly thought to be infeasible due to the known double exponential complexity of the problem. However, new ideas…

Logic in Computer Science · Computer Science 2011-02-22 Andreas Morgenstern , Klaus Schneider

Signal Temporal Logic (STL) is a powerful language for specifying temporally structured robotic tasks. Planning executable trajectories under STL constraints remains difficult when system dynamics and environment structure are not…

Robotics · Computer Science 2026-04-21 Ruijia Liu , Ancheng Hou , Xiao Yu , Xiang Yin

Reactive synthesis is an automatic way to translate a human intention expressed in some logic into a system of some kind. This thesis has two parts, devoted to logic and to systems. In Part I, we develop two new approaches to CTL*…

Logic in Computer Science · Computer Science 2018-08-29 Ayrat Khalimov

Given a Linear Temporal Logic (LTL) formula over input and output variables, reactive synthesis requires us to design a deterministic Mealy machine that gives the values of outputs at every time step for every sequence of inputs, such that…

Logic in Computer Science · Computer Science 2024-01-23 S. Akshay , Eliyahu Basa , Supratik Chakraborty , Dror Fried

We present SySCoRe, a MATLAB toolbox that synthesizes controllers for stochastic continuous-state systems to satisfy temporal logic specifications. Starting from a system description and a co-safe temporal logic specification, SySCoRe…

Systems and Control · Electrical Eng. & Systems 2023-02-27 Birgit van Huijgevoort , Oliver Schön , Sadegh Soudjani , Sofie Haesaert

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

While most of the current synthesis algorithms only focus on correctness-by-construction, ensuring robustness has remained a challenge. Hence, in this paper, we address the robust-by-construction synthesis problem by considering the…

Logic in Computer Science · Computer Science 2024-01-23 Satya Prakash Nayak , Daniel Neider , Martin Zimmermann

The reactive synthesis problem is to find a finite-state controller that satisfies a given temporal-logic specification regardless of how its environment behaves. Developing a formal specification is a challenging and tedious task and…

Logic in Computer Science · Computer Science 2013-08-20 Rajeev Alur , Salar Moarref , Ufuk Topcu

We study the reactive synthesis problem for hyperproperties given as formulas of the temporal logic HyperLTL. Hyperproperties generalize trace properties, i.e., sets of traces, to sets of sets of traces. Typical examples are…

Logic in Computer Science · Computer Science 2019-06-03 Bernd Finkbeiner , Christopher Hahn , Philip Lukert , Marvin Stenger , Leander Tentrup

Signal Temporal Logic (STL) offers verifiable task specifications and is crucial for safety-critical control. Yet STL planning remains challenging: exact optimization-based methods are often too slow, and learning-based methods struggle to…

Artificial Intelligence · Computer Science 2026-05-05 Bowen Ye , Ancheng Hou , Junyue Huang , Ruijia Liu , Xiang Yin

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

Synthesis from linear temporal logic (LTL) specifications provides assured controllers for systems operating in stochastic and potentially adversarial environments. Automatic synthesis tools, however, require a model of the environment to…

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