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Unlike the standard Reinforcement Learning (RL) model, many real-world tasks are non-Markovian, whose rewards are predicated on state history rather than solely on the current state. Solving a non-Markovian task, frequently applied in…

机器学习 · 计算机科学 2023-10-19 Ruixuan Miao , Xu Lu , Cong Tian , Bin Yu , Zhenhua Duan

In Markov Decision Processes (MDPs), the reward obtained in a state depends on the properties of the last state and action. This state dependency makes it difficult to reward more interesting long-term behaviors, such as always closing a…

人工智能 · 计算机科学 2017-06-27 Ronen Brafman , Giuseppe De Giacomo , Fabio Patrizi

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

机器学习 · 计算机科学 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

The successes of reinforcement learning in recent years are underpinned by the characterization of suitable reward functions. However, in settings where such rewards are non-intuitive, difficult to define, or otherwise error-prone in their…

形式语言与自动机理论 · 计算机科学 2023-03-02 Mohammad Afzal , Sankalp Gambhir , Ashutosh Gupta , Krishna S , Ashutosh Trivedi , Alvaro Velasquez

In this paper, we propose a model-free reinforcement learning method to synthesize control policies for motion planning problems with continuous states and actions. The robot is modelled as a labeled discrete-time Markov decision process…

人工智能 · 计算机科学 2020-10-01 Chuanzheng Wang , Yinan Li , Stephen L. Smith , Jun Liu

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…

机器学习 · 计算机科学 2024-12-18 Ruixuan Miao , Xu Lu , Cong Tian , Bin Yu , Zhenhua Duan

There is a surge of interest in using formal languages such as Linear Temporal Logic (LTL) to precisely and succinctly specify complex tasks and derive reward functions for Reinforcement Learning (RL). However, existing methods often assign…

机器人学 · 计算机科学 2025-05-20 Minjae Kwon , Ingy ElSayed-Aly , Lu Feng

Ensuring that reinforcement learning (RL) controllers satisfy safety and reliability constraints in real-world settings remains challenging: state-avoidance and constrained Markov decision processes often fail to capture trajectory-level…

机器学习 · 计算机科学 2026-04-06 Alper Kamil Bozkurt , Calin Belta , Ming C. Lin

We propose a new task-specification language for Markov decision processes that is designed to be an improvement over reward functions by being environment independent. The language is a variant of Linear Temporal Logic (LTL) that is…

人工智能 · 计算机科学 2017-04-17 Michael L. Littman , Ufuk Topcu , Jie Fu , Charles Isbell , Min Wen , James MacGlashan

We study Linear Temporal Logic Modulo Theories over Finite Traces (LTLfMT), a recently introduced extension of LTL over finite traces (LTLf) where propositions are replaced by first-order formulas and where first-order variables referring…

人工智能 · 计算机科学 2023-08-01 Luca Geatti , Alessandro Gianola , Nicola Gigante , Sarah Winkler

We present a method to find an optimal policy with respect to a reward function for a discounted Markov decision process under general linear temporal logic (LTL) specifications. Previous work has either focused on maximizing a cumulative…

系统与控制 · 电气工程与系统科学 2021-03-24 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

This paper studies Linear Temporal Logic over Finite Traces (LTLf) where proposition letters are replaced with first-order formulas interpreted over arbitrary theories, in the spirit of Satisfiability Modulo Theories. The resulting logic,…

计算机科学中的逻辑 · 计算机科学 2022-05-25 Luca Geatti , Alessandro Gianola , Nicola Gigante

Most algorithms in reinforcement learning (RL) require that the objective is formalised with a Markovian reward function. However, it is well-known that certain tasks cannot be expressed by means of an objective in the Markov rewards…

机器学习 · 计算机科学 2024-02-20 Rohan Subramani , Marcus Williams , Max Heitmann , Halfdan Holm , Charlie Griffin , Joar Skalse

Continuously learning new tasks using high-level ideas or knowledge is a key capability of humans. In this paper, we propose Lifelong reinforcement learning with Sequential linear temporal logic formulas and Reward Machines (LSRM), which…

人工智能 · 计算机科学 2021-11-19 Xuejing Zheng , Chao Yu , Chen Chen , Jianye Hao , Hankz Hankui Zhuo

We present a reinforcement learning (RL) framework to synthesize a control policy from a given linear temporal logic (LTL) specification in an unknown stochastic environment that can be modeled as a Markov Decision Process (MDP).…

机器人学 · 计算机科学 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

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…

形式语言与自动机理论 · 计算机科学 2022-05-31 Rajeev Alur , Suguman Bansal , Osbert Bastani , Kishor Jothimurugan

Reinforcement Learning from Human Feedback (RLHF) plays a crucial role in aligning large language models (LLMs) with human values and preferences. However, the quality and stability of the trained reward model largely determine the final…

机器学习 · 计算机科学 2025-12-17 Chunjin Jian , Xinhua Zhu

Reward engineering is an important aspect of reinforcement learning. Whether or not the user's intentions can be correctly encapsulated in the reward function can significantly impact the learning outcome. Current methods rely on manually…

人工智能 · 计算机科学 2017-09-28 Xiao Li , Yao Ma , Calin Belta

Linear Temporal Logic (LTL) is widely used to specify high-level objectives for system policies, and it is highly desirable for autonomous systems to learn the optimal policy with respect to such specifications. However, learning the…

机器学习 · 计算机科学 2023-10-26 Daqian Shao , Marta Kwiatkowska

This paper studies the control synthesis of motion planning subject to uncertainties. The uncertainties are considered in robot motions and environment properties, giving rise to the probabilistic labeled Markov decision process (PL-MDP). A…

机器人学 · 计算机科学 2023-01-31 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan
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