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The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

计算机科学中的逻辑 · 计算机科学 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

Probabilistic pushdown automata (pPDA) are a standard model for discrete probabilistic programs with procedures and recursion. In pPDA, many quantitative properties are characterized as least fixpoints of polynomial equation systems. In…

形式语言与自动机理论 · 计算机科学 2023-02-28 Tobias Winkler , Joost-Pieter Katoen

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…

系统与控制 · 电气工程与系统科学 2025-07-29 Arash Bahari Kordabad , Rupak Majumdar , Harshit Jitendra Motwani , Sadegh Soudjani

Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested "stack of stacks" structure. These systems may be used to model higher-order programs and are closely related to the…

计算复杂性 · 计算机科学 2015-07-01 Matthew Hague , C. -H. Luke Ong

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. We characterize such automata in terms of graphs…

形式语言与自动机理论 · 计算机科学 2022-01-14 Evgeniya A. Bondar , David Casas , Mikhail V. Volkov

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

形式语言与自动机理论 · 计算机科学 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We give a new proof of the decidability of reachability in alternating pushdown systems, showing that it is a simple consequence of a cut-elimination theorem for some natural-deduction style inference systems. Then, we show how this result…

计算机科学中的逻辑 · 计算机科学 2014-10-31 Gilles Dowek , Ying Jiang

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear…

最优化与控制 · 数学 2012-04-17 Zbigniew Bartosiewicz

We consider the reachability problem for timed automata having diagonal constraints (like x - y < 5) as guards in transitions. The best algorithms for timed automata proceed by enumerating reachable sets of its configurations, stored in the…

计算机科学中的逻辑 · 计算机科学 2018-06-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

Automata operating on strings of nested brackets, known as input-driven pushdown automata, and as visibly pushdown automata, have been studied since the 1980s. They were extended to the case of infinite strings by Alur and Madhusudan…

形式语言与自动机理论 · 计算机科学 2020-12-08 Alexander Okhotin , Victor L. Selivanov

Scheduling on related machines ($Q||C_{\max}$) is one of the most important problems in the field of Algorithmic Mechanism Design. Each machine is controlled by a selfish agent and her valuation can be expressed via a single parameter, her…

计算机科学与博弈论 · 计算机科学 2009-07-20 George Christodoulou , Annamaria Kovacs

This paper offers a natural stochastic semantics of Networks of Priced Timed Automata (NPTA) based on races between components. The semantics provides the basis for satisfaction of probabilistic Weighted CTL properties (PWCTL),…

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

系统与控制 · 电气工程与系统科学 2025-05-07 Chelsea Sidrane , Jana Tumova

Motivation: Models of discrete concurrent systems often lead to huge and complex state transition graphs that represent their dynamics. This makes difficult to analyse dynamical properties. In particular, for logical models of biological…

离散数学 · 计算机科学 2014-11-14 Nuno D. Mendes , Pedro T. Monteiro , Jorge Carneiro , Elisabeth Remy , Claudine Chaouiya

We generalize the concept of synchronizing words for finite automata, which map all states of the automata to the same state, to deterministic visibly push-down automata. Here, a synchronizing word w does not only map all states to the same…

形式语言与自动机理论 · 计算机科学 2020-07-20 Henning Fernau , Petra Wolf

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…

形式语言与自动机理论 · 计算机科学 2009-05-11 Giovanni Pighizzini

It is well known that for a regular tree language it is decidable whether or not it can be recognized by a deterministic top-down tree automaton (DTA). However, the computational complexity of this problem has not been studied. We show that…

形式语言与自动机理论 · 计算机科学 2021-07-08 Peter Leupold , Sebastian Maneth

Visibly pushdown automata are input-driven pushdown automata that recognize some non-regular context-free languages while preserving the nice closure and decidability properties of finite automata. Visibly pushdown automata with multiple…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Benedikt Bollig

Reachability analysis evaluates system safety, by identifying the set of states a system may evolve within over a finite time horizon. In contrast to model-based reachability analysis, data-driven reachability analysis estimates reachable…

系统与控制 · 电气工程与系统科学 2026-04-06 Elizabeth Dietrich , Hanna Krasowski , Murat Arcak

We consider the problem of approximating the probability mass of the set of timed paths under a continuous-time Markov chain (CTMC) that are accepted by a deterministic timed automaton (DTA). As opposed to several existing works on this…

系统与控制 · 计算机科学 2013-02-04 Hongfei Fu