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Probabilistic programming has become a standard practice to model stochastic events and learn about the behavior of nature in different scientific contexts, ranging from Genetics and Ecology to Linguistics and Psychology. However, domain…

Programming Languages · Computer Science 2025-07-10 Guilherme Espada , Alcides Fonseca

A classical approach to studying Markov decision processes (MDPs) is to view them as state transformers. However, MDPs can also be viewed as distribution transformers, where an MDP under a strategy generates a sequence of probability…

Logic in Computer Science · Computer Science 2025-07-08 S. Akshay , Ouldouz Neysari , Đorđe Žikelić

This paper considers large families of Markov chains (MCs) that are defined over a set of parameters with finite discrete domains. Such families occur in software product lines, planning under partial observability, and sketching of…

Logic in Computer Science · Computer Science 2019-03-27 Milan Ceska , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen

We consider qualitative strategy synthesis for the formalism called consumption Markov decision processes. This formalism can model dynamics of an agents that operates under resource constraints in a stochastic environment. The presented…

Artificial Intelligence · Computer Science 2021-05-06 František Blahoudek , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

The control of dynamical systems under temporal logic specifications among uncontrollable dynamic agents is challenging due to the agents' a-priori unknown behavior. Existing works have considered the problem where either all agents are…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Xinyi Yu , Yiqi Zhao , Xiang Yin , Lars Lindemann

This paper presents a novel distributed model predictive control (MPC) formulation without terminal cost and a corresponding distributed synthesis approach for distributed linear discrete-time systems with coupled constraints. The proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Xiaoyu Liu , Dimos V. Dimarogonas , Changxin Liu , Azita Dabiri , Bart De Schutter

Markov decision processes (MDPs) are a popular model for decision-making in the presence of uncertainty. The conventional view of MDPs in verification treats them as state transformers with probabilities defined over sequences of states and…

Formal Languages and Automata Theory · Computer Science 2025-07-25 Yun Chen Tsai , Kittiphon Phalakarn , S. Akshay , Ichiro Hasuo

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

Systems and Control · Computer Science 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

In this paper, we provide a compositional approach for constructing finite abstractions (a.k.a. finite Markov decision processes (MDPs)) of interconnected discrete-time stochastic switched systems. The proposed framework is based on a…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

In decision-making problems, the actions of an agent may reveal sensitive information that drives its decisions. For instance, a corporation's investment decisions may reveal its sensitive knowledge about market dynamics. To prevent this…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Parham Gohari , Matthew Hale , Ufuk Topcu

This paper proposes to use probabilistic model checking to synthesize optimal robot policies in multi-tasking autonomous systems that are subject to human-robot interaction. Given the convincing empirical evidence that human behavior can be…

Artificial Intelligence · Computer Science 2016-11-01 Sebastian Junges , Nils Jansen , Joost-Pieter Katoen , Ufuk Topcu

We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlock-freeness, as well as invariant and reachability expressions. Our technique restricts the behavior of a…

Formal Languages and Automata Theory · Computer Science 2014-08-15 Allan van Hulst , Michel Reniers , Wan Fokkink

Planning robust executions under uncertainty is a fundamental challenge for building autonomous robots. Partially Observable Markov Decision Processes (POMDPs) provide a standard framework for modeling uncertainty in many applications. In…

Robotics · Computer Science 2018-05-10 Yue Wang , Swarat Chaudhuri , Lydia E. Kavraki

Given a set of interacting components with non-deterministic variable update and given safety requirements, the goal of priority synthesis is to restrict, by means of priorities, the set of possible interactions in such a way as to…

Logic in Computer Science · Computer Science 2012-01-30 Chih-Hong Cheng , Saddek Bensalem , Rongjie Yan , Harald Ruess , Christian Buckl , Alois Knoll

We study the detection problem for a finite set of Markov decision processes (MDPs) where the MDPs have the same state and action spaces but possibly different probabilistic transition functions. Any one of these MDPs could be the model for…

Optimization and Control · Mathematics 2021-12-24 Xiaoming Duan , Yagiz Savas , Rui Yan , Zhe Xu , Ufuk Topcu

The combination of policy search and deep neural networks holds the promise of automating a variety of decision-making tasks. Model Predictive Control (MPC) provides robust solutions to robot control tasks by making use of a dynamical model…

Robotics · Computer Science 2021-05-11 Yunlong Song , Davide Scaramuzza

Successfully synthesizing controllers for complex dynamical systems and specifications often requires leveraging domain knowledge as well as making difficult computational or mathematical tradeoffs. This paper presents a flexible and…

Systems and Control · Computer Science 2019-05-24 Eric S. Kim , Murat Arcak , Sanjit A. Seshia

Markov decision processes (MDP) are finite-state systems with both strategic and probabilistic choices. After fixing a strategy, an MDP produces a sequence of probability distributions over states. The sequence is eventually synchronizing…

Computer Science and Game Theory · Computer Science 2013-11-01 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

Given a set of interacting components with non-deterministic variable update and given safety requirements, the goal of priority synthesis is to restrict, by means of priorities, the set of possible interactions in such a way as to…

Systems and Control · Computer Science 2012-11-28 Chih-Hong Cheng , Rongjie Yan , Saddek Bensalem , Harald Ruess

The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

Machine Learning · Computer Science 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie