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Probabilistic Computation Tree Logic (PCTL) is frequently used to formally specify control objectives such as probabilistic reachability and safety. In this work, we focus on model checking PCTL specifications statistically on Markov…

Machine Learning · Computer Science 2020-04-23 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

Autonomous robots typically incorporate complex sensors in their decision-making and control loops. These sensors, such as cameras and Lidars, have imperfections in their sensing and are influenced by environmental conditions. In this…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Guy Scher , Sadra Sadraddini , Russ Tedrake , Hadas Kress-Gazit

The development of mechanistic models of biological systems is a central part of Systems Biology. One major task in developing these models is the inference of the correct model parameters. Due to the size of most realistic models and their…

Quantitative Methods · Quantitative Biology 2016-06-28 Jan Mikelson , Mustafa Khammash

This paper addresses the control synthesis of heterogeneous stochastic linear multi-agent systems with real-time allocation of signal temporal logic (STL) specifications. Based on previous work, we decompose specifications into…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Maico H. W. Engelaar , Zengjie Zhang , Eleftherios E. Vlahakis , Dimos V. Dimarogonas , Mircea Lazar , Sofie Haesaert

Program verification on concurrent programs is a big challenge due to general undecidable results. Petri nets and its extensions are used in most works. However, existing verifiers based on Petri nets are difficult to be complete and…

Logic in Computer Science · Computer Science 2021-10-26 Ying Zhao , Jinhao Tan , Guoqiang Li

Model checking is a proven approach for checking whether the behavior model of a safety-critical system fulfills safety properties that are stated as LTL formulas.We propose rules for generating such LTL formulas automatically based on the…

Software Engineering · Computer Science 2024-04-08 Jette Petzold , Reinhard von Hanxleden

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

Statistical Model Checking (SMC) is a trade-off between testing and formal verification. The core idea of the approach is to conduct some simulations of the system and verify if they satisfy some given property. In this paper we show that…

Software Engineering · Computer Science 2011-11-03 Peter Bulychev , Alexandre David , Kim Guldstrand Larsen , Marius Mikučionis , Axel Legay

Lossy channel systems (LCSs) are systems of finite state automata that communicate via unreliable unbounded fifo channels. In order to circumvent the undecidability of model checking for nondeterministic LCSs, probabilistic models have been…

Logic in Computer Science · Computer Science 2012-03-19 Christel Baier , Nathalie Bertrand , Philippe Schnoebelen

In this paper we investigate a potential use of fluid approximation techniques in the context of stochastic model checking of CSL formulae. We focus on properties describing the behaviour of a single agent in a (large) population of agents,…

Logic in Computer Science · Computer Science 2013-01-22 Luca Bortolussi , Jane Hillston

Stochastic simulation algorithms such as likelihood weighting often give fast, accurate approximations to posterior probabilities in probabilistic networks, and are the methods of choice for very large networks. Unfortunately, the special…

Artificial Intelligence · Computer Science 2016-11-26 Keiji Kanazawa , Daphne Koller , Stuart Russell

Stochasticity is a key characteristic of intracellular processes such as gene regulation and chemical signalling. Therefore, characterising stochastic effects in biochemical systems is essential to understand the complex dynamics of living…

Molecular Networks · Quantitative Biology 2019-03-04 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Inferring parameters of models of biochemical kinetics from single-cell data remains challenging because of the uncertainty arising from the intractability of the likelihood function of stochastic reaction networks. Such uncertainty falls…

Quantitative Methods · Quantitative Biology 2025-01-14 Zekai Li , Mauricio Barahona , Philipp Thomas

In scheduling problems, deterministic task durations are often assumed. This usually does not capture reality and may lead to schedules that are not robust to (small) changes to these task lengths. The use of stochastic task durations…

Optimization and Control · Mathematics 2026-05-25 Philip de Bruin , Bram Elderhorst , Marjan van den Akker , Han Hoogeveen

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

The state explosion problem and the exponentially computational complexity restrict the further applications of LTL model checking. To this end, this study tries to seek an acceptable approximate solution for LTL model checking by…

Logic in Computer Science · Computer Science 2019-02-19 Weijun Zhu , Jianwei Wang , Yongwen Fan

We present a scalable methodology to verify stochastic hybrid systems. Using the Mori-Zwanzig reduction method, we construct a finite state Markov chain reduction of a given stochastic hybrid system and prove that this reduced Markov chain…

Optimization and Control · Mathematics 2020-09-17 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

Models of biological systems often have many unknown parameters that must be determined in order for model behavior to match experimental observations. Commonly-used methods for parameter estimation that return point estimates of the…

Quantitative Methods · Quantitative Biology 2018-01-31 Sanjana Gupta , Liam Hainsworth , Justin S. Hogg , Robin E. C. Lee , James R. Faeder

Stochastic cyber-physical systems (CPS) permeate critical infrastructure, from autonomous vehicles to medical devices. Yet, tools for runtime verification of such systems capturing the probabilistic dynamics in stochastic systems remain…

Logic in Computer Science · Computer Science 2026-05-22 Paapa Kwesi Quansah , Ernest Bonnah

Model checking probabilistic CTL properties of Markov decision processes with convex uncertainties has been recently investigated by Puggelli et al. Such model checking algorithms typically suffer from the state space explosion. In this…

Logic in Computer Science · Computer Science 2016-08-02 Vahid Hashemi , Holger Hermanns , Andrea Turrini