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In this work, we propose a novel framework for the logical specification of non-Markovian rewards in Markov Decision Processes (MDPs) with large state spaces. Our approach leverages Linear Temporal Logic Modulo Theories over finite traces…

Artificial Intelligence · Computer Science 2026-02-09 Pierriccardo Olivieri , Fausto Lasca , Alessandro Gianola , Matteo Papini

Reinforcement learning (RL) depends critically on the choice of reward functions used to capture the de- sired behavior and constraints of a robot. Usually, these are handcrafted by a expert designer and represent heuristics for relatively…

Artificial Intelligence · Computer Science 2017-03-03 Xiao Li , Cristian-Ioan Vasile , Calin Belta

We present a new algorithm to construct a deterministic Rabin automaton for an LTL formula $\varphi$. The automaton is the product of a master automaton and an array of slave automata, one for each $G$-subformula of $\varphi$. The slave…

Logic in Computer Science · Computer Science 2014-09-26 Javier Esparza , Jan Křetínský

The classic approaches to synthesize a reactive system from a linear temporal logic (LTL) specification first translate the given LTL formula to an equivalent omega-automaton and then compute a winning strategy for the corresponding…

Logic in Computer Science · Computer Science 2010-06-09 Andreas Morgenstern , Klaus Schneider

General purpose intelligent learning agents cycle through (complex,non-MDP) sequences of observations, actions, and rewards. On the other hand, reinforcement learning is well-developed for small finite state Markov Decision Processes…

Artificial Intelligence · Computer Science 2009-12-30 Marcus Hutter

Linear temporal logic (LTL) is a compelling framework for specifying complex, structured tasks for reinforcement learning (RL) agents. Recent work has shown that interpreting LTL instructions as finite automata, which can be seen as…

Artificial Intelligence · Computer Science 2025-12-03 Mattia Giuri , Mathias Jackermeier , Alessandro Abate

We study the synthesis of mode switching protocols for a class of discrete-time switched linear systems in which the mode jumps are governed by Markov decision processes (MDPs). We call such systems MDP-JLS for brevity. Each state of the…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Bo Wu , Murat Cubuktepe , Franck Djeumou , Zhe Xu , Ufuk Topcu

Given a Markov decision process (MDP) $M$ and a formula $\Phi$, the strategy synthesis problem asks if there exists a strategy $\sigma$ s.t. the resulting Markov chain $M[\sigma]$ satisfies $\Phi$. This problem is known to be undecidable…

Logic in Computer Science · Computer Science 2022-05-02 Benjamin Bordais , Damien Busatto-Gaston , Shibashis Guha , Jean-François Raskin

In this paper, we study the problem of transferring the available Markov Decision Process (MDP) models to learn and plan efficiently in an unknown but similar MDP. We refer to it as \textit{Model Transfer Reinforcement Learning (MTRL)}…

Machine Learning · Computer Science 2023-02-21 Hannes Eriksson , Debabrota Basu , Tommy Tram , Mina Alibeigi , Christos Dimitrakakis

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

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…

Formal Languages and Automata Theory · Computer Science 2023-03-02 Mohammad Afzal , Sankalp Gambhir , Ashutosh Gupta , Krishna S , Ashutosh Trivedi , Alvaro Velasquez

This paper addresses the problem of learning optimal policies for satisfying signal temporal logic (STL) specifications by agents with unknown stochastic dynamics. The system is modeled as a Markov decision process, in which the states…

Systems and Control · Computer Science 2016-09-26 Derya Aksaray , Austin Jones , Zhaodan Kong , Mac Schwager , Calin Belta

The linear Markov Decision Process (MDP) framework offers a principled foundation for reinforcement learning (RL) with strong theoretical guarantees and sample efficiency. However, its restrictive assumption-that both transition dynamics…

Machine Learning · Statistics 2025-06-03 Sinian Zhang , Kaicheng Zhang , Ziping Xu , Tianxi Cai , Doudou Zhou

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

A popular approach to solving a decision process with non-Markovian rewards (NMRDP) is to exploit a compact representation of the reward function to automatically translate the NMRDP into an equivalent Markov decision process (MDP) amenable…

Artificial Intelligence · Computer Science 2013-01-07 Sylvie Thiebaux , Froduald Kabanza , John Slanley

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

In this paper we introduce a class of Linear Temporal Logic (LTL) specifications for which the problem of synthesizing controllers can be solved in polynomial time. The new class of specifications is an LTL fragment that we term Mode-Target…

Optimization and Control · Mathematics 2016-12-20 Ayca Balkan , Moshe Vardi , Paulo Tabuada

A multi-task learning (MTL) system aims at solving multiple related tasks at the same time. With a fixed model capacity, the tasks would be conflicted with each other, and the system usually has to make a trade-off among learning all of…

Machine Learning · Computer Science 2021-02-16 Xi Lin , Zhiyuan Yang , Qingfu Zhang , Sam Kwong

Models of many real-life applications, such as queuing models of communication networks or computing systems, have a countably infinite state-space. Algorithmic and learning procedures that have been developed to produce optimal policies…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Saghar Adler , Vijay Subramanian