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Related papers: Reachability in Continuous Pushdown VASS

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Parametric timed automata (PTA) are an extension of timed automata in which clocks can be compared against parameters. The reachability problem asks for the existence of an assignment of the parameters to the non-negative integers such that…

Formal Languages and Automata Theory · Computer Science 2020-11-17 Stefan Göller , Mathieu Hilaire

Forward reachability analysis is the predominant approach for verifying reach-avoid properties in neural feedback systems (dynamical systems controlled by neural networks). This dominance stems from the limited scalability of existing…

Artificial Intelligence · Computer Science 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Variational Bayes (VB) is rapidly becoming a popular tool for Bayesian inference in statistical modeling. However, the existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes the use of VB in many…

Methodology · Statistics 2016-08-05 Minh-Ngoc Tran , David J. Nott , Robert Kohn

One of the most important problems in hybrid systems is the {\em reachability problem}. The reachability problem has been shown to be undecidable even for a subclass of {\em linear} hybrid systems. In view of this, the main focus in the…

Logic in Computer Science · Computer Science 2009-09-29 D. Ravi , R. K. Shyamasundar

Visibly pushdown automata (VPA), introduced by Alur and Madhusuan in 2004, is a subclass of pushdown automata whose stack behavior is completely determined by the input symbol according to a fixed partition of the input alphabet. Since its…

Formal Languages and Automata Theory · Computer Science 2009-11-18 Nguyen Van Tang

We propose a solution to a time-varying variant of Markov Decision Processes which can be used to address decision-theoretic planning problems for autonomous systems operating in unstructured outdoor environments. We explore the time…

Robotics · Computer Science 2019-05-28 Junhong Xu , Kai Yin , Lantao Liu

Almost sure reachability refers to the property of a stochastic system whereby, from any initial condition, the system state reaches a given target set with probability one. In this paper, we study the problem of certifying almost sure…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Arash Bahari Kordabad , Rupak Majumdar , Harshit Jitendra Motwani , Sadegh Soudjani

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

This paper studies the informativity problem for reachability and null-controllability of constrained systems. To be precise, we will focus on an unknown linear systems with convex conic constraints from which we measure data consisting of…

Optimization and Control · Mathematics 2021-05-03 Jaap Eising , M. Kanat Camlibel

We study the pattern frequency vector for runs in probabilistic Vector Addition Systems with States (pVASS). Intuitively, each configuration of a given pVASS is assigned one of finitely many patterns, and every run can thus be seen as an…

Logic in Computer Science · Computer Science 2015-06-22 Tomas Brazdil , Stefan Kiefer , Antonin Kucera , Petr Novotny

This paper concerns the problem of reachability of a given state for a multiagent control system in $\mathbb{R}^d$. In such a system, at every time each agent can choose his/her velocity which depends both on his/her position and on the…

Optimization and Control · Mathematics 2026-01-01 Giulia Cavagnari , Marc Quincampoix

Computing reachability probabilities is at the heart of probabilistic model checking. All model checkers compute these probabilities in an iterative fashion using value iteration. This technique approximates a fixed point from below by…

Logic in Computer Science · Computer Science 2018-04-16 Tim Quatmann , Joost-Pieter Katoen

Unordered data Petri nets (UDPN) are an extension of classical Petri nets with tokens that carry data from an infinite domain and where transitions may check equality and disequality of tokens. UDPN are well-structured, so the coverability…

Formal Languages and Automata Theory · Computer Science 2019-02-18 Utkarsh Gupta , Preey Shah , S. Akshay , Piotr Hofman

In this paper we propose novel optimization-based methods for verifying reach-avoid (or, eventuality) properties of continuous-time systems modelled by ordinary differential equations. Given a system, an initial set, a safe set and a target…

Optimization and Control · Mathematics 2022-08-18 Bai Xue , Naijun Zhan , Martin Fränzle , Ji Wang , Wanwei Liu

Over the last 25 years, a lot of work has been done on seeking for decidable non-regular extensions of Propositional Dynamic Logic (PDL). Only recently, an expressive extension of PDL, allowing visibly pushdown automata (VPAs) as a…

Logic in Computer Science · Computer Science 2007-07-18 Stefan Göller , Dirk Nowotka

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

In PLDI'20, Lee et al. introduced the \emph{promising } semantics PS 2.0 of the C++ concurrency that captures most of the common program transformations while satisfying the DRF guarantee. The reachability problem for finite-state programs…

Programming Languages · Computer Science 2020-10-19 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Adwait Godbole , Shankaranarayanan Krishna , Viktor Vafeiadis

We consider the reachability relation of pushdown systems whose pushdown holds a Mazurkiewicz trace instead of just a word as in classical systems. Under two natural conditions on the transition structure of such systems, we prove that the…

Formal Languages and Automata Theory · Computer Science 2025-02-18 Chris Köcher , Dietrich Kuske

In real world applications, uncertain parameters are the rule rather than the exception. We present a reachability algorithm for linear systems with uncertain parameters and inputs using set propagation of polynomial zonotopes. In contrast…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Yushen Huang , Ertai Luo , Stanley Bak , Yifan Sun

Deep neural networks can be trained to be efficient and effective controllers for dynamical systems; however, the mechanics of deep neural networks are complex and difficult to guarantee. This work presents a general approach for providing…

Systems and Control · Computer Science 2019-06-05 Kyle D. Julian , Mykel J. Kochenderfer