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We consider piecewise-deterministic optimal control problems in which the environment randomly switches among several deterministic modes, and the goal is to optimize the expected cost up to the termination while taking the likelihood of…

Optimization and Control · Mathematics 2015-12-31 Zhengdi Shen , Alexander Vladimirsky

Stochastic automata are a formal compositional model for concurrent stochastic timed systems, with general distributions and non-deterministic choices. Measures of interest are defined over schedulers that resolve the nondeterminism. In…

Logic in Computer Science · Computer Science 2017-10-17 Pedro R. D'Argenio , Marcus Gerhold , Arnd Hartmanns , Sean Sedwards

We propose a mathematical framework for synthesizing motion plans for multi-agent systems that fulfill complex, high-level and formal local specifications in the presence of inter-agent communication. The proposed synthesis framework…

Systems and Control · Computer Science 2017-06-01 Zhiyu Liu , Jin Dai , Bo Wu , Hai Lin

We study the synthesis of policies for multi-agent systems to implement spatial-temporal tasks. We formalize the problem as a factored Markov decision process subject to so-called graph temporal logic specifications. The transition function…

Multiagent Systems · Computer Science 2020-01-27 Murat Cubuktepe , Zhe Xu , Ufuk Topcu

We introduce the problem Synchronized Planarity. Roughly speaking, its input is a loop-free multi-graph together with synchronization constraints that, e.g., match pairs of vertices of equal degree by providing a bijection between their…

Data Structures and Algorithms · Computer Science 2021-07-23 Thomas Bläsius , Simon D. Fink , Ignaz Rutter

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

Optimization and Control · Mathematics 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

In this paper, we introduce a lightweight dynamic epistemic logical framework for automated planning under initial uncertainty. We reduce plan verification and conformant planning to model checking problems of our logic. We show that the…

Artificial Intelligence · Computer Science 2016-06-27 Quan Yu , Yanjun Li , Yanjing Wang

Planning and reasoning about actions and processes, in addition to reasoning about propositions, are important issues in recent logical and computer science studies. The widespread use of actions in everyday life such as IoT, semantic web…

Artificial Intelligence · Computer Science 2024-01-23 Alireza Shahbazi , Seyyed Ahmad Mirsanei , Malikeh Haj Khan Mirzaye Sarraf , Behrouz Minaei Bidgoli

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

The ability to plan with temporal abstractions is central to intelligent decision-making. Rather than reasoning over primitive actions, we study agents that compose pre-trained policies as temporally extended actions, enabling solutions to…

Machine Learning · Computer Science 2026-02-24 Jesse Farebrother , Matteo Pirotta , Andrea Tirinzoni , Marc G. Bellemare , Alessandro Lazaric , Ahmed Touati

In domains ranging from computer vision to natural language processing, machine learning models have been shown to exhibit stark disparities, often performing worse for members of traditionally underserved groups. One factor contributing to…

Machine Learning · Computer Science 2022-02-04 William Cai , Ro Encarnacion , Bobbie Chern , Sam Corbett-Davies , Miranda Bogen , Stevie Bergman , Sharad Goel

We investigate planning in time-critical domains represented as Markov Decision Processes, showing that search based techniques can be a very powerful method for finding close to optimal plans. To reduce the computational cost of planning…

Artificial Intelligence · Computer Science 2013-02-28 Richard Dearden , Craig Boutilier

In this paper, a method to synthesize controllers using finite time convergence control barrier functions guided by linear temporal logic specifications for continuous time multi-agent dynamical systems is proposed. Finite time convergence…

Systems and Control · Computer Science 2018-08-08 Mohit Srinivasan , Samuel Coogan , Magnus Egerstedt

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

Robotics · Computer Science 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

Formal design of embedded and cyber-physical systems relies on mathematical modeling. In this paper, we consider the model class of hybrid automata whose dynamics are defined by affine differential equations. Given a set of time-series…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Miriam García Soto , Thomas A. Henzinger , Christian Schilling

An asymptotically optimal sampling-based planner employs sampling to solve robot motion planning problems and returns paths with a cost that converges to the optimal solution cost, as the number of samples approaches infinity. This…

Robotics · Computer Science 2022-01-07 Kostas E. Bekris , Rahul Shome

In this paper, we focus on the synthesis of secure timed systems which are modelled as timed automata. The security property that the system must satisfy is a non-interference property. Intuitively, non-interference ensures the absence of…

Logic in Computer Science · Computer Science 2012-07-23 Gilles Benattar , Franck Cassez , Didier Lime , Olivier H. Roux

Temporal planning often involves numeric effects that are directly proportional to their action's duration. These include continuous effects, where a numeric variable is subjected to a rate of change while the action is being executed, and…

Artificial Intelligence · Computer Science 2022-02-01 Josef Bajada , Maria Fox , Derek Long

The treatment of exogenous events in planning is practically important in many real-world domains where the preconditions of certain plan actions are affected by such events. In this paper we focus on planning in temporal domains with…

Artificial Intelligence · Computer Science 2011-10-13 A. Gerevini , A. Saetti , I. Serina

We present time-constrained automata (TCA), a model for hard real-time computation in which agents behaviors are modeled by automata and constrained by time intervals. TCA actions can have multiple start time and deadlines, can be…

Logic in Computer Science · Computer Science 2010-10-28 Matthieu Lemerre , Vincent David , Christophe Aussaguès , Guy Vidal-Naquet