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In this paper we introduce a class of Linear Temporal Logic (LTL) specifications for which the problem of synthesizing controllers can be solved in polynomial time. The new class of specifications is an LTL fragment that we term Mode-Target…

Optimization and Control · Mathematics 2016-12-20 Ayca Balkan , Moshe Vardi , Paulo Tabuada

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma

We consider turn-based stochastic two-player games with a combination of a parity condition that must hold surely, that is in all possible outcomes, and of a parity condition that must hold almost-surely, that is with probability 1. The…

Computer Science and Game Theory · Computer Science 2026-01-08 Laurent Doyen , Shibashis Guha

Controller synthesis, including reset controller, feedback controller, and switching logic controller, provides an essential mechanism to guarantee the correctness and reliability of hybrid systems in a correct-by-construction manner.…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Jiang Liu , Han Su , Yunjun Bai , Bin Gu , Bai Xue , Mengfei Yang , Naijun Zhan

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

In the formal approach to reactive controller synthesis, a symbolic controller for a possibly hybrid system is obtained by algorithmically computing a winning strategy in a two-player game. Such game-solving algorithms scale poorly as the…

Systems and Control · Computer Science 2016-02-16 Anne-Kathrin Schmuck , Rupak Majumdar

We consider the synthesis problem on timed automata with B\"uchi objectives, where delay choices made by a controller are subjected to small perturbations. Usually, the controller needs to avoid punctual guards, such as testing the equality…

Computer Science and Game Theory · Computer Science 2024-04-30 Benoît Barbot , Damien Busatto-Gaston , Catalin Dima , Youssouf Oualhadj

Games of timing aim to determine the optimal defense against a strategic attacker who has the technical capability to breach a system in a stealthy fashion. Key questions arising are when the attack takes place, and when a defensive move…

Cryptography and Security · Computer Science 2017-06-08 Sadegh Farhang , Jens Grossklags

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

This paper tackles the problem of generating safe exit controllers for continuous-time systems described by stochastic differential equations (SDEs). The primary aim is to develop controllers that maximize the lower bounds of the exit…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Bai Xue

For decades, two-player (antagonistic) games on graphs have been a framework of choice for many important problems in theoretical computer science. A notorious one is controller synthesis, which can be rephrased through the game-theoretic…

Computer Science and Game Theory · Computer Science 2023-06-22 Patricia Bouyer , Stéphane Le Roux , Youssouf Oualhadj , Mickael Randour , Pierre Vandenhove

We consider 2-player games played on a finite state space for infinite rounds. The games are concurrent: in each round, the two players choose their moves simultaneously; the current state and the moves determine the successor. We consider…

Computer Science and Game Theory · Computer Science 2013-06-21 Krishnendu Chatterjee

We introduce quantatitive timed refinement and timed simulation (directed) metrics, incorporating zenoness check s, for timed systems. These metrics assign positive real numbers between zero and infinity which quantify the \emph{timing…

Systems and Control · Computer Science 2015-03-19 Krishnendu Chatterjee , Vinayak S. Prabhu

This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

Stochastic games are a natural model for the synthesis of controllers confronted to adversarial and/or random actions. In particular, $\omega$-regular games of infinite length can represent reactive systems which are not expected to reach a…

Computer Science and Game Theory · Computer Science 2009-02-17 Florian Horn

We present a controller synthesis algorithm for reach-avoid problems for piecewise linear discrete-time systems. Our algorithm relies on SMT solvers and in this paper we focus on piecewise constant control strategies. Our algorithm…

Systems and Control · Computer Science 2015-09-16 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir E. Dullerud , Swarat Chaudhuri

This work introduces efficient symbolic algorithms for quantitative reactive synthesis. We consider resource-constrained robotic manipulators that need to interact with a human to achieve a complex task expressed in linear temporal logic.…

Robotics · Computer Science 2023-08-09 Karan Muvvala , Morteza Lahijanian

Recently, Dallal, Neider, and Tabuada studied a generalization of the classical game-theoretic model used in program synthesis, which additionally accounts for unmodeled intermittent disturbances. In this extended framework, one is…

Computer Science and Game Theory · Computer Science 2019-09-25 Daniel Neider , Alexander Weinert , Martin Zimmermann

We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths…

Adaptation and Self-Organizing Systems · Physics 2015-05-12 James Burridge , Yu Gao , Yong Mao

Two-player games on graphs provide the mathematical foundation for the study of reactive systems. In the quantitative framework, an objective assigns a value to every play, and the goal of player 1 is to minimize the value of the objective.…

Logic in Computer Science · Computer Science 2014-04-30 Yaron Velner