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Using a novel rewriting problem, we show that several natural decision problems about finite automata are undecidable (i.e., recursively unsolvable). In contrast, we also prove three related problems are decidable. We apply one result to…

Formal Languages and Automata Theory · Computer Science 2017-03-01 Jörg Endrullis , Jeffrey Shallit , Tim Smith

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 new model of a distributed game, called an ATS game, which is played on a non-deterministic asynchronous transition system -- a natural distributed finite-state device working on Mazurkiewicz traces. This new…

Formal Languages and Automata Theory · Computer Science 2024-10-18 Bharat Adsul , Nehul Jain

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

We introduce games with probabilistic uncertainty, a natural model for controller synthesis in which the controller observes the state of the system through imprecise sensors that provide correct information about the current state with a…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Martin Chmelik , Rupak Majumdar

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Anca Muscholl

Machine learning has been successful in building control policies to drive a complex system to desired states in various applications (e.g. games, robotics, etc.). To be specific, a number of parameters of policy can be automatically…

Artificial Intelligence · Computer Science 2025-03-28 Yongshuai Liu , Taeyeong Choi , Xin Liu

This paper examines two related problems that are central to developing an autonomous decision-making agent, such as a robot. Both problems require generating structured representafions from a database of unstructured declarative knowledge…

Artificial Intelligence · Computer Science 2013-04-10 Spencer Star

We show that it is decidable whether two regular languages of infinite trees are separable by a deterministic language, resp., a game language. We consider two variants of separability, depending on whether the set of priorities of the…

Formal Languages and Automata Theory · Computer Science 2021-05-05 Lorenzo Clemente , Michał Skrzypczak

We study synthesis of reactive systems interacting with environments using an infinite data domain. A popular formalism for specifying and modelling such systems is register automata and transducers. They extend finite-state automata by…

Formal Languages and Automata Theory · Computer Science 2022-06-09 Léo Exibard , Emmanuel Filiot , Ayrat Khalimov

This paper introduces a sampling-based strategy synthesis algorithm for nondeterministic hybrid systems with complex continuous dynamics under temporal and reachability constraints. We model the evolution of the hybrid system as a…

Systems and Control · Electrical Eng. & Systems 2023-12-27 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

We study finite-memory (FM) determinacy in games on finite graphs, a central question for applications in controller synthesis, as FM strategies correspond to implementable controllers. We establish general conditions under which FM…

Computer Science and Game Theory · Computer Science 2018-10-08 Stéphane Le Roux , Arno Pauly , Mickael Randour

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

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 study synthesis of reactive systems interacting with environments using an infinite data domain. A popular formalism for specifying and modelling such systems is register automata and transducers. They extend finite-state automata by…

Formal Languages and Automata Theory · Computer Science 2022-05-23 Léo Exibard , Emmanuel Filiot , Ayrat Khalimov

Reinforcement learning presents an attractive paradigm to reason about several distinct aspects of sequential decision making, such as specifying complex goals, planning future observations and actions, and critiquing their utilities.…

Machine Learning · Computer Science 2023-10-31 Siyan Zhao , Aditya Grover

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

We introduce a formalism modelling communication of distributed agents strictly in continuous-time. Within this framework, we study the problem of synthesising local strategies for individual agents such that a specified set of goal states…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-08 Holger Hermanns , Jan Krčál , Steen Vester

We establish a classification of decision problems that are to be solved by mobile agents operating in unlabeled graphs, using a deterministic protocol. The classification is with respect to the ability of a team of agents to solve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-12 Pierre Fraigniaud , Andrzej Pelc

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms, it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of…

Logic in Computer Science · Computer Science 2015-07-01 Sumit Nain , Yoad Lustig , Moshe Y Vardi