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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

Petri games are a multi-player game model for the automatic synthesis of distributed systems, where the players are represented as tokens on a Petri net and are grouped into environment players and system players. As long as the players…

Logic in Computer Science · Computer Science 2023-10-03 Paul Hannibal

When designing correct-by-construction controllers for autonomous collectives, three key challenges are the task specification, the modelling, and its use at practical scale. In this paper, we focus on a simple yet useful abstraction for…

Multiagent Systems · Computer Science 2024-11-22 Till Schnittka , Mario Gleirscher

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

Formal Languages and Automata Theory · Computer Science 2016-01-08 Daniel Neider , Ufuk Topcu

Most approaches to the synthesis of reactive systems study the problem in terms of a two-player game with complete observation. In many applications, however, the system's environment consists of several distinct entities, and the system…

Logic in Computer Science · Computer Science 2018-09-11 Bernd Finkbeiner , Paul Gölz

In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek an appropriate (e.g., winning or optimal) strategy for the…

Logic in Computer Science · Computer Science 2025-09-05 Mickael Randour

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

The satisfiability problem for branching-time temporal logics like CTL*, CTL and CTL+ has important applications in program specification and verification. Their computational complexities are known: CTL* and CTL+ are complete for doubly…

Logic in Computer Science · Computer Science 2015-07-01 Oliver Friedmann , Martin Lange , Markus Latte

Given a Markov decision process (MDP) and a linear-time ($\omega$-regular or LTL) specification, the controller synthesis problem aims to compute the optimal policy that satisfies the specification. More recently, problems that reason over…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Alvaro Velasquez , Ismail Alkhouri , Andre Beckus , Ashutosh Trivedi , George Atia

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin

This paper studies the rational synthesis problem for multi-player games played on graphs when rational players are following subgame perfect equilibria. In these games, one player, the system, declares his strategy upfront, and the other…

Computer Science and Game Theory · Computer Science 2025-07-16 Véronique Bruyère , Jean-François Raskin , Alexis Reynouard , Marie Van Den Bogaard

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state…

Optimization and Control · Mathematics 2022-06-07 Lauren Conger , Shih-Hao Tseng

Two-player zero-sum games are a well-established model for synthesising controllers that optimise some performance criterion. In such games one player represents the controller, while the other describes the (adversarial) environment, and…

Computer Science and Game Theory · Computer Science 2010-06-04 Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

Temporal logic based synthesis approaches are often used to find trajectories that are correct-by-construction for tasks in systems with complex behavior. Some examples of such tasks include synchronization for multi-agent hybrid systems,…

Logic in Computer Science · Computer Science 2017-09-22 Sumanth Dathathri , Richard M. Murray

We introduce transductive program synthesis, a new formulation of the program synthesis task that explicitly leverages test inputs during synthesis. While prior approaches to program synthesis--whether based on natural language descriptions…

Artificial Intelligence · Computer Science 2025-10-22 Kang-il Lee , Jahyun Koo , Seunghyun Yoon , Minbeom Kim , Hyukhun Koh , Dongryeol Lee , Kyomin Jung

Formal control of cyber-physical systems allows for synthesis of control strategies from rich specifications such as temporal logics. However, the classes of systems that the formal approaches can be applied to is limited due to the…

Logic in Computer Science · Computer Science 2019-09-04 Irmak Saglam , Ebru Aydin Gol

We investigate the problem of synthesizing switching controllers for stabilizing continuous-time plants. First, we introduce a class of control Lyapunov functions (CLFs) for switched systems along with a switching strategy that yields a…

Systems and Control · Computer Science 2015-09-18 Hadi Ravanbakhsh , Sriram Sankaranarayanan

Pre-trained Large Language Models (LLMs) are beginning to dominate the discourse around automatic code generation with natural language specifications. In contrast, the best-performing synthesizers in the domain of formal synthesis with…

Artificial Intelligence · Computer Science 2024-05-28 Yixuan Li , Julian Parsert , Elizabeth Polgreen