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Related papers: Checking Timed Bisimilarity with Virtual Clocks

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Timed automata (TA) are a well-established formalism for specifying discrete-state/continuous-time behavior of time-critical reactive systems. Concerning the fundamental analysis problem of comparing a candidate implementation against a…

Formal Languages and Automata Theory · Computer Science 2020-09-17 Lars Luthmann , Hendrik Göttmann , Isabelle Bacher , Malte Lochau

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

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

In this paper we present a unifying approach for deciding various bisimulations, simulation equivalences and preorders between two timed automata states. We propose a zone based method for deciding these relations in which we eliminate an…

Formal Languages and Automata Theory · Computer Science 2013-07-30 Shibashis Guha , Shankara Narayanan Krishna , Chinmay Narayan , S. Arun-Kumar

Model checking timed automata becomes increasingly complex with the increase in the number of clocks. Hence it is desirable that one constructs an automaton with the minimum number of clocks possible. The problem of checking whether there…

Formal Languages and Automata Theory · Computer Science 2015-05-21 Shibashis Guha , Chinmay Narayan , S. Arun-Kumar

We investigate a zone based approach for the reachability problem in timed automata. The challenge is to alleviate the size explosion of the search space when considering networks of timed automata working in parallel. In the timed setting…

Logic in Computer Science · Computer Science 2019-07-05 R. Govind , Frédéric Herbreteau , B. Srivathsan , Igor Walukiewicz

Timed B\"uchi automata provide a very expressive formalism for expressing requirements of real-time systems. Online monitoring and active testing of embedded real-time systems can then be achieved by symbolic execution of such automata on…

Formal Languages and Automata Theory · Computer Science 2025-07-30 Martin Fränzle , Thomas M. Grosen , Kim G. Larsen , Martin Zimmermann

Timed automata have been introduced by Rajeev Alur and David Dill in the early 90's. In the last decades, timed automata have become the de facto model for the verification of real-time systems. Algorithms for timed automata are based on…

Logic in Computer Science · Computer Science 2022-07-18 Patricia Bouyer , Paul Gastin , Frédéric Herbreteau , Ocan Sankur , B. Srivathsan

Weighted timed automata have been defined in the early 2000's for modelling resource-consumption or -allocation problems in real-time systems. Optimal reachability is decidable in weighted timed automata, and a symbolic forward algorithm…

Logic in Computer Science · Computer Science 2016-02-02 Patricia Bouyer , Maximilien Colange , Nicolas Markey

Event-clock automata (ECA) are a well-known semantic subclass of timed automata (TA) which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for…

Formal Languages and Automata Theory · Computer Science 2024-08-07 S Akshay , Paul Gastin , R Govind , B Srivathsan

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…

Logic in Computer Science · Computer Science 2018-06-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

The translation of Metric Interval Temporal Logic (MITL) to timed automata is a topic that has been extensively studied. A key challenge here is the conversion of future modalities into equivalent automata. Typical conversions equip the…

Formal Languages and Automata Theory · Computer Science 2025-07-08 S. Akshay , Paul Gastin , R. Govind , B. Srivathsan

Timed systems, such as timed automata, are usually analyzed using their operational semantics on timed words. The classical region abstraction for timed automata reduces them to (untimed) finite state automata with the same time-abstract…

Formal Languages and Automata Theory · Computer Science 2023-06-22 S. Akshay , Paul Gastin , Shankara Narayanan Krishna

Timed automata (TA) have been widely adopted as a suitable formalism to model time-critical systems. Furthermore, contemporary model-checking tools allow the designer to check whether a TA complies with a system specification. However, the…

Logic in Computer Science · Computer Science 2023-06-22 Jaroslav Bendík , Ahmet Sencan , Ebru Aydin Gol , Ivana Černá

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

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 consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba
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