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A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

Quantum Physics · Physics 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

With the increasing importance of distributed systems as a computing paradigm, a systematic approach to their design is needed. Although the area of formal verification has made enormous advances towards this goal, the resulting…

Logic in Computer Science · Computer Science 2014-07-22 Adrià Gascón , Ashish Tiwari

Many problems in quantum information theory can be formulated as optimizations over the sequential outcomes of dynamical systems subject to unpredictable external influences. Such problems include many-body entanglement detection through…

Quantum Physics · Physics 2024-06-07 Mirjam Weilenmann , Costantino Budroni , Miguel Navascues

We present a controller synthesis algorithm for a discrete time reach-avoid problem in the presence of adversaries. Our model of the adversary captures typical malicious attacks envisioned on cyber-physical systems such as sensor spoofing,…

Systems and Control · Computer Science 2015-01-21 Zhenqi Huang , Yu Wang , Sayan Mitra , Geir Dullerud

Objective: To obtain explainable guarantees in the online synthesis of optimal controllers for high-integrity cyber-physical systems, we re-investigate the use of exhaustive search as an alternative to reinforcement learning. Approach: We…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Mario Gleirscher , Philip Hönnecke

Strategy synthesis typically follows an all-or-nothing paradigm, returning unrealisable whenever a specification cannot be guaranteed in an uncertain environment. In this paper, we introduce optimal LTLf synthesis, where the goal is to…

Artificial Intelligence · Computer Science 2026-05-28 Yujian Cao , Sven Schewe , Qiyi Tang , Shufang Zhu

This paper considers the problem of finding strategies that satisfy a mixture of sure and threshold objectives in Markov decision processes. We focus on a single $\omega$-regular objective expressed as parity that must be surely met while…

Computer Science and Game Theory · Computer Science 2024-08-05 Raphaël Berthon , Joost-Pieter Katoen , Tobias Winkler

The planning problem for the mean field game implies the one tries to transfer the system of infinitely many identical rational agents from the given distribution to the final one using the choice of the terminal payoff. It can be…

Optimization and Control · Mathematics 2022-11-21 Yurii Averboukh , Aleksei Volkov

We consider the problems of liveness verification and liveness synthesis for recursive programs. The liveness verification problem (LVP) is to decide whether a given omega-context-free language is contained in a given omega-regular…

Formal Languages and Automata Theory · Computer Science 2017-01-12 Roland Meyer , Sebastian Muskalla , Elisabeth Neumann

Most algorithms for the synthesis of reactive systems focus on the construction of finite-state machines rather than actual programs. This often leads to badly structured, unreadable code. In this paper, we present a bounded synthesis…

Formal Languages and Automata Theory · Computer Science 2018-07-25 Carsten Gerstacker , Felix Klein , Bernd Finkbeiner

Finite mixture models are an important tool in the statistical analysis of data, for example in data clustering. The optimal parameters of a mixture model are usually computed by maximizing the log-likelihood functional via the…

Machine Learning · Statistics 2020-11-30 Laura Aquilanti , Simone Cacace , Fabio Camilli , Raul De Maio

Continuous linear dynamical systems are used extensively in mathematics, computer science, physics, and engineering to model the evolution of a system over time. A central technique for certifying safety properties of such systems is by…

Logic in Computer Science · Computer Science 2020-04-29 Shaull Almagor , Edon Kelmendi , Joël Ouaknine , James Worrell

We study the problem of synthesizing a controller for a robot with a surveillance objective, that is, the robot is required to maintain knowledge of the location of a moving, possibly adversarial target. We formulate this problem as a…

Robotics · Computer Science 2018-03-21 Suda Bharadwaj , Rayna Dimitrova , Ufuk Topcu

Smart contracts are small but highly error-prone programs that implement agreements between multiple parties. We present a reactive synthesis approach for the automatic construction of smart contract state machines. Towards this end, we…

Logic in Computer Science · Computer Science 2023-07-28 Bernd Finkbeiner , Jana Hofmann , Florian Kohn , Noemi Passing

Finite state machines (FSMs) are a theoretically and practically important model of computation. We propose a general, thermodynamically consistent model of FSMs and characterise the resource requirements of these machines. We model FSMs as…

Statistical Mechanics · Physics 2018-08-27 Dominique Chu , Richard Spinney

Stochastic hybrid systems have received significant attentions as a relevant modelling framework describing many systems, from engineering to the life sciences: they enable the study of numerous applications, including transportation…

Logic in Computer Science · Computer Science 2022-03-11 Abolfazl Lavaei , Sadegh Soudjani , Alessandro Abate , Majid Zamani

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied, however…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda , Shoto Aoki

Many systems are naturally modeled as Markov Decision Processes (MDPs), combining probabilities and strategic actions. Given a model of a system as an MDP and some logical specification of system behavior, the goal of synthesis is to find a…

Logic in Computer Science · Computer Science 2020-09-24 Andrew M. Wells , Morteza Lahijanian , Lydia E. Kavraki , Moshe Y. Vardi

Automated flowsheet synthesis is an important field in computer-aided process engineering. The present work demonstrates how reinforcement learning can be used for automated flowsheet synthesis without any heuristics of prior knowledge of…

Computational Engineering, Finance, and Science · Computer Science 2021-03-16 Quirin Göttl , Dominik G. Grimm , Jakob Burger

Mean field games (MFGs) offer a powerful framework for modeling large-scale multi-agent systems. This paper addresses MFGs formulated in continuous time with discrete state spaces, where agents' dynamics are governed by continuous-time…

Computer Science and Game Theory · Computer Science 2026-02-27 Yannick Eich , Christian Fabian , Kai Cui , Heinz Koeppl
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