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Related papers: Certifying Emptiness of Timed B\"uchi Automata

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We consider temporal logic verification of (possibly nonlinear) dynamical systems evolving over continuous state spaces. Our approach combines automata-based verification and the use of so-called barrier certificates. Automata-based…

Formal Languages and Automata Theory · Computer Science 2014-03-17 Tichakorn Wongpiromsarn , Ufuk Topcu , Andrew Lamperski

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André

On the one hand, ordered completion is a fundamental technique in equational theorem proving that is employed by automated tools. On the other hand, their complexity makes such tools inherently error prone. As a remedy to this situation we…

Logic in Computer Science · Computer Science 2018-05-28 Christian Sternagel , Sarah Winkler

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

We introduce a technology to formally verify that a software system satisfies a temporal specification of functional correctness, without revealing the system itself. Our method combines a deductive approach to model checking to obtain a…

Cryptography and Security · Computer Science 2026-05-04 Pascal Berrang , Mirco Giacobbe , Jacob Swales , Xiao Yang

We re-investigate the problem of LTL model-checking for finite-state systems. Typical solutions, like in Spin, work on the fly, reducing the problem to Buechi emptiness. This can be done in linear time, and a variety of algorithms with this…

Logic in Computer Science · Computer Science 2009-10-21 Andreas Gaiser , Stefan Schwoon

Model-based testing (MBT) derives test suites from a behavioural specification of the system under test. In practice, engineers favour simple models, such as labelled transition systems (LTSs). However, to deal with quiescence - the absence…

Formal Languages and Automata Theory · Computer Science 2025-07-25 Laura Brandán Briones , Marcus Gerhold , Petra van den Bos , Mariëlle Stoelinga

A key challenge in abstraction-based verification and control under complex specifications such as Linear Temporal Logic (LTL) is that abstract models retain significantly less information than their original systems. This issue is…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Sasinee Pruekprasert , Clovis Eberhart

Runtime verification is checking whether a system execution satisfies or violates a given correctness property. A procedure that automatically, and typically on the fly, verifies conformance of the system's behavior to the specified…

Software Engineering · Computer Science 2013-03-06 Mikhail Chupilko , Alexander Kamkin

Timed automata and register automata are well-known models of computation over timed and data words respectively. The former has clocks that allow to test the lapse of time between two events, whilst the latter includes registers that can…

Formal Languages and Automata Theory · Computer Science 2019-02-20 Diego Figueira , Piotr Hofman , Sławomir Lasota

In this paper we study monitoring of real-time systems with respect to properties expressed either in Metric Interval Temporal Logic or as Timed B\"uchi Automata. We offer efficient symbolic online monitoring algorithms in a number of…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Thomas Møller Grosen , Sean Kauffman , Kim Guldstrand Larsen , Martin Zimmermann

We present novel algorithms solving the satisfiability problem and the model checking problem for Visibly Linear Dynamic Logic (VLDL) in asymptotically optimal time via a reduction to the emptiness problem for tree automata with B\"uchi…

Logic in Computer Science · Computer Science 2017-08-03 Alexander Weinert

In this paper, we focus on modelling the timing aspects of binary programs running on architectures featuring caches and pipelines. The objective is to obtain a timed automaton model to compute tight bounds for the worst-case execution time…

Formal Languages and Automata Theory · Computer Science 2015-11-16 Franck Cassez , Pablo González de Aledo Marugán

Monitoring is an important part of the verification toolbox, in particular in situations where exhaustive verification using, e.g., model-checking is infeasible. The goal of online monitoring is to determine the satisfaction or violation of…

Formal Languages and Automata Theory · Computer Science 2025-10-02 Thomas M. Grosen , Sean Kauffman , Kim G. Larsen , Martin Zimmermann

We consider the problem of the verification of an LTL specification $\varphi$ on a system $S$ given some prior knowledge $K$, an LTL formula that $S$ is known to satisfy. The automata-theoretic approach to LTL model checking is implemented…

Formal Languages and Automata Theory · Computer Science 2025-03-31 Alexandre Duret-Lutz , Denis Poitrenaud , Yann Thierry-Mieg

We present Kofola, an efficient tool for complementation and inclusion checking of B\"uchi automata, two central tasks in automata-theoretic verification with applications in model checking, monitoring, and theorem proving. Kofola…

Logic in Computer Science · Computer Science 2026-05-18 Ondrej Alexaj , Vojtěch Havlena , Lukáš Holík , Ondřej Lengál , Yong Li , Nicolas Mazzocchi

The emergence of the Industrial Internet results in an increasing number of complicated temporal interdependencies between automation systems and the processes to be controlled. There is a need for verification methods that scale better…

Software Engineering · Computer Science 2017-04-26 Eero Siivola , Seppo Sierla , Hannu Niemistö , Tommi Karhela , Valeriy Vyatkin

The model-checking problem for hybrid systems is a well known challenge in the scientific community. Most of the existing approaches and tools are limited to safety properties only, or operates by transforming the hybrid system to be…

Logic in Computer Science · Computer Science 2013-08-27 Davide Bresolin

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or…

Logic in Computer Science · Computer Science 2016-09-15 Benjamin Aminof , Sasha Rubin , Francesco Spegni , Florian Zuleger