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Past research into robotic planning with temporal logic specifications, notably Linear Temporal Logic (LTL), was largely based on a single formula for individual or groups of robots. But with increasing task complexity, LTL formulas…

Robotics · Computer Science 2024-05-27 Xusheng Luo , Shaojun Xu , Ruixuan Liu , Changliu Liu

Research in robotic planning with temporal logic specifications, such as Linear Temporal Logic (LTL), has relied on single formulas. However, as task complexity increases, LTL formulas become lengthy, making them difficult to interpret and…

Robotics · Computer Science 2025-06-06 Xusheng Luo , Changliu Liu

A key component of model-based reinforcement learning (RL) is a dynamics model that predicts the outcomes of actions. Errors in this predictive model can degrade the performance of model-based controllers, and complex Markov decision…

Machine Learning · Computer Science 2023-06-06 Seohong Park , Sergey Levine

Real-world agentic tasks, unlike synchronous Markov Decision Processes (MDPs), often involve non-blocking actions with variable latencies, creating a fundamental \textit{Temporal Gap} between action initiation and completion. Existing…

Artificial Intelligence · Computer Science 2025-12-19 Yifei She , Ping Zhang , He Liu , Yanmin Jia , Yang Jing , Zijun Liu , Peng Sun , Xiangbin Li , Xiaohe Hu

Reactive synthesis algorithms allow automatic construction of policies to control an environment modeled as a Markov Decision Process (MDP) that are optimal with respect to high-level temporal logic specifications. However, they assume that…

Formal Languages and Automata Theory · Computer Science 2022-05-31 Rajeev Alur , Suguman Bansal , Osbert Bastani , Kishor Jothimurugan

In hierarchical planning for Markov decision processes (MDPs), temporal abstraction allows planning with macro-actions that take place at different time scale in form of sequential composition. In this paper, we propose a novel approach to…

Optimization and Control · Mathematics 2019-07-24 Xuan Liu , Jie Fu

We propose to synthesize a control policy for a Markov decision process (MDP) such that the resulting traces of the MDP satisfy a linear temporal logic (LTL) property. We construct a product MDP that incorporates a deterministic Rabin…

Systems and Control · Computer Science 2014-09-22 Dorsa Sadigh , Eric S. Kim , Samuel Coogan , S. Shankar Sastry , Sanjit A. Seshia

In environments like offices, the duration of a robot's navigation between two locations may vary over time. For instance, reaching a kitchen may take more time during lunchtime since the corridors are crowded with people heading the same…

Robotics · Computer Science 2024-03-07 Alexis Linard , Anna Gautier , Daniel Duberg , Jana Tumova

We investigate the use of temporally abstract actions, or macro-actions, in the solution of Markov decision processes. Unlike current models that combine both primitive actions and macro-actions and leave the state space unchanged, we…

Artificial Intelligence · Computer Science 2013-02-01 Milos Hauskrecht , Nicolas Meuleau , Leslie Pack Kaelbling , Thomas L. Dean , Craig Boutilier

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

We present a general framework for applying machine-learning algorithms to the verification of Markov decision processes (MDPs). The primary goal of these techniques is to improve performance by avoiding an exhaustive exploration of the…

Control applications often feature tasks with similar, but not identical, dynamics. We introduce the Hidden Parameter Markov Decision Process (HiP-MDP), a framework that parametrizes a family of related dynamical systems with a…

Machine Learning · Computer Science 2013-08-19 Finale Doshi-Velez , George Konidaris

Contextual Markov Decision Processes (CMDPs) offer a framework for sequential decision-making under external signals, but existing methods often fail to generalize in high-dimensional or unstructured contexts, resulting in excessive…

Artificial Intelligence · Computer Science 2025-10-06 Peidong Liu , Junjiang Lin , Shaowen Wang , Yao Xu , Haiqing Li , Xuhao Xie , Siyi Wu , Hao Li

Approximate linear programming (ALP) and its variants have been widely applied to Markov Decision Processes (MDPs) with a large number of states. A serious limitation of ALP is that it has an intractable number of constraints, as a result…

Systems and Control · Computer Science 2017-04-11 Chandrashekar Lakshminarayanan , Shalabh Bhatnagar , Csaba Szepesvari

In symbolic planning systems, the knowledge on the domain is commonly provided by an expert. Recently, an automatic abstraction procedure has been proposed in the literature to create a Planning Domain Definition Language (PDDL)…

Artificial Intelligence · Computer Science 2019-07-22 Angelo Oddi , Riccardo Rasconi , Emilio Cartoni , Gabriele Sartor , Gianluca Baldassarre , Vieri Giuliano Santucci

A decision process in which rewards depend on history rather than merely on the current state is called a decision process with non-Markovian rewards (NMRDP). In decision-theoretic planning, where many desirable behaviours are more…

Artificial Intelligence · Computer Science 2011-09-13 C. Gretton , F. Kabanza , D. Price , J. Slaney , S. Thiebaux

In this paper, we develop a method to automatically generate a control policy for a dynamical system modeled as a Markov Decision Process (MDP). The control specification is given as a Linear Temporal Logic (LTL) formula over a set of…

Robotics · Computer Science 2011-03-24 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

To realize autonomous collaborative robots, it is important to increase the trust that users have in them. Toward this goal, this paper proposes an algorithm which endows an autonomous agent with the ability to explain the transition from…

Artificial Intelligence · Computer Science 2021-05-07 Tatsuya Sakai , Kazuki Miyazawa , Takato Horii , Takayuki Nagai

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

The commonly used Reinforcement Learning (RL) model, MDPs (Markov Decision Processes), has a basic premise that rewards depend on the current state and action only. However, many real-world tasks are non-Markovian, which has long-term…

Machine Learning · Computer Science 2024-12-18 Ruixuan Miao , Xu Lu , Cong Tian , Bin Yu , Zhenhua Duan