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Priced timed automata provide a natural model for quantitative analysis of real-time systems and have been successfully applied in various scheduling and planning problems. The optimal reachability problem for linearly-priced timed automata…

Formal Languages and Automata Theory · Computer Science 2016-12-16 Devendra Bhave , Shankara Narayanan Krishna , Ashutosh Trivedi

We study linear-time temporal logics interpreted over data words with multiple attributes. We restrict the atomic formulas to equalities of attribute values in successive positions and to repetitions of attribute values in the future or…

Logic in Computer Science · Computer Science 2019-03-14 Stephane Demri , Diego Figueira , M Praveen

Hybrid Rebeca is a modeling framework for asynchronous event-based cyber-physical systems (CPSs). In this work, we extend Hybrid Rebeca to allow the modeling of non-deterministic time behavior. Besides the syntactical extension, we…

Formal Languages and Automata Theory · Computer Science 2025-03-11 Fatemeh Ghassemi , Saeed Zhiany , Nesa Abbasimoghadam , Ali Hodaei , Ali Ataollahi , József Kovács , Erika Ábrahám , Marjan Sirjani

We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words…

Formal Languages and Automata Theory · Computer Science 2015-11-06 Matthew Hague , Jonathan Kochems , C. -H. Luke Ong

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

The reachability analysis of recursive programs that communicate asynchronously over reliable FIFO channels calls for restrictions to ensure decidability. Our first result characterizes communication topologies with a decidable reachability…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Heussner , Jérôme Leroux , Anca Muscholl , Grégoire Sutre

We study the finite satisfiability problem for the two-variable fragment of first-order logic extended with counting quantifiers (C2) and interpreted over linearly ordered structures. We show that the problem is undecidable in the case of…

Logic in Computer Science · Computer Science 2019-03-14 Witold Charatonik , Piotr Witkowski

We consider the master/slave parameterised reachability problem for networks of pushdown systems, where communication is via a global store using only non-atomic reads and writes. We show that the control-state reachability problem is…

Formal Languages and Automata Theory · Computer Science 2011-09-29 Matthew Hague

In a reachability-time game, players Min and Max choose moves so that the time to reach a final state in a timed automaton is minimised or maximised, respectively. Asarin and Maler showed decidability of reachability-time games on strongly…

Computational Complexity · Computer Science 2020-01-16 Marcin Jurdziński , Ashutosh Trivedi

The reachable sets of nonlinear control systems can in general only be numerically approximated, and are often very expensive to calculate. In this paper, we propose an algorithm that tracks only the boundaries of the reachable sets and…

Numerical Analysis · Mathematics 2025-02-20 Janosch Rieger , Kyria Wawryk

The simulation of deterministic pushdown automata defined over a one-letter alphabet by finite state automata is investigated from a descriptional complexity point of view. We show that each unary deterministic pushdown automaton of size s…

Formal Languages and Automata Theory · Computer Science 2009-05-11 Giovanni Pighizzini

A complete deterministic finite (semi)automaton (DFA) with a set of states $Q$ is \emph{completely reachable} if every nonempty subset of $Q$ is the image of the action of some word applied to $Q$. The concept of completely reachable…

Formal Languages and Automata Theory · Computer Science 2025-02-12 Robert Ferens , Marek Szykuła

The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be…

Optimization and Control · Mathematics 2014-06-06 Charalambos P. Kontzalis , Grigoris Kalogeropoulos

Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the necessity to adequately tune specific algorithm…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Stanley Bak , Matthias Althoff

Hybrid branching-time logics are introduced as extensions of CTL-like logics with state variables and the downarrow-binder. Following recent work in the linear framework, only logics with a single variable are considered. The expressive…

Logic in Computer Science · Computer Science 2007-08-14 Volker Weber

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our…

Logic in Computer Science · Computer Science 2023-07-04 Rodrigo Raya

The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Yasuhiko Minamide

Interrupt Timed Automata (ITA) form a subclass of stopwatch automata where reachability and some variants of timed model checking are decidable even in presence of parameters. They are well suited to model and analyze real-time operating…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Béatrice Bérard , Serge Haddad , Claudine Picaronny , Mohab Safey El Din , Mathieu Sassolas

Reachability analysis is important for studying optimal control problems and differential games, which are powerful theoretical tools for analyzing and modeling many practical problems in robotics, aircraft control, among other application…

Optimization and Control · Mathematics 2016-03-22 Mo Chen , Claire J. Tomlin

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