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Parametric timed automata (PTA) are an extension of timed automata in which clocks can be compared against parameters. The reachability problem asks for the existence of an assignment of the parameters to the non-negative integers such that…

Formal Languages and Automata Theory · Computer Science 2020-11-17 Stefan Göller , Mathieu Hilaire

2.5 player parity games combine the challenges posed by 2.5 player reachability games and the qualitative analysis of parity games. These two types of problems are best approached with different types of algorithms: strategy improvement…

Logic in Computer Science · Computer Science 2016-07-07 Ernst Moritz Hahn , Sven Schewe , Andrea Turrini , Lijun Zhang

We present an on-the-fly synthesis framework for Linear Temporal Logic over finite traces (LTLf) based on top-down deterministic automata construction. Existing approaches rely on constructing a complete Deterministic Finite Automaton (DFA)…

Artificial Intelligence · Computer Science 2024-08-15 Shengping Xiao , Yongkang Li , Shufang Zhu , Jun Sun , Jianwen Li , Geguang Pu , Moshe Y. Vardi

This paper introduces two mechanisms for computing over-approximations of sets of reachable states, with the aim of ensuring termination of state-space exploration. The first mechanism consists in over-approximating the automata…

Formal Languages and Automata Theory · Computer Science 2013-11-27 Alois Dreyfus , Pierre-Cyrille Heam , Olga Kouchnarenko

We present version 2.0 of the Partial Exploration Tool (PET), a tool for verification of probabilistic systems. We extend the previous version by adding support for stochastic games, based on a recent unified framework for sound value…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Tobias Meggendorfer , Maximilian Weininger

Automated verification techniques for stochastic games allow formal reasoning about systems that feature competitive or collaborative behaviour among rational agents in uncertain or probabilistic settings. Existing tools and techniques…

Logic in Computer Science · Computer Science 2020-09-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We address cost identification in a finite-horizon linear quadratic Gaussian game. We characterize the set of cost parameters that generate a given Nash equilibrium policy. We propose a backpropagation algorithm to identify the time-varying…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Kai Ren , Maryam Kamgarpour

In the timeline-based approach to planning, originally born in the space sector, the evolution over time of a set of state variables (the timelines) is governed by a set of temporal constraints. Traditional timeline-based planning systems…

Artificial Intelligence · Computer Science 2022-09-22 Renato Acampora , Luca Geatti , Nicola Gigante , Angelo Montanari , Valentino Picotti

Individual machines in flexible production lines explicitly expose capabilities at their interfaces by means of parametric skills. Given such a set of configurable machines, a line integrator is faced with the problem of finding and tuning…

Formal Languages and Automata Theory · Computer Science 2016-05-23 Chih-Hong Cheng , Lacramioara Astefanoaei , Harald Ruess , Souha Ben Rayana , Saddek Bensalem

Parametric timed automata extend the standard timed automata with the possibility to use parameters in the clock guards. In general, if the parameters are real-valued, the problem of language emptiness of such automata is undecidable even…

Formal Languages and Automata Theory · Computer Science 2016-08-08 Nikola Beneš , Peter Bezděk , Kim G. Larsen , Jiří Srba

The window mechanism was introduced by Chatterjee et al. to reinforce mean-payoff and total-payoff objectives with time bounds in two-player turn-based games on graphs. It has since proved useful in a variety of settings, including parity…

Computer Science and Game Theory · Computer Science 2021-08-12 James C. A. Main , Mickael Randour , Jeremy Sproston

This work extends reachability analyses based on ellipsoidal techniques to Linear Time Invariant (LTI) systems subject to an integral quadratic constraint (IQC) between the past state and disturbance signals , interpreted as an input-output…

Optimization and Control · Mathematics 2020-02-14 Paul Rousse , Pierre-Loïc Garoche , Didier Henrion

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

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

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the cumulative weight while reaching a target. Used in a reactive synthesis perspective, this…

Logic in Computer Science · Computer Science 2023-06-22 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some…

Computational Complexity · Computer Science 2014-08-10 David Auger , Pierre COUCHENEY , Yann Strozecki

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players, Player Min and Player Max, by moving a token along the states of the graph to form an infinite…

Computer Science and Game Theory · Computer Science 2020-01-16 Shibashis Guha , Marcin Jurdzinski , Krishna S. , Ashutosh Trivedi

In this paper, we present a method for finding approximate Nash equilibria in a broad class of reachability games. These games are often used to formulate both collision avoidance and goal satisfaction. Our method is computationally…

Systems and Control · Electrical Eng. & Systems 2021-03-23 David Fridovich-Keil , Claire J. Tomlin

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

The term Procedural Content Generation (PCG) refers to the (semi-)automatic generation of game content by algorithmic means, and its methods are becoming increasingly popular in game-oriented research and industry. A special class of these…

Artificial Intelligence · Computer Science 2023-02-17 Vanessa Volz , Boris Naujoks , Pascal Kerschke , Tea Tusar
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