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We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

Unambiguous automata are nondeterministic automata in which every word has at most one accepting run. In this paper we give a polynomial-time algorithm for model checking discrete-time Markov chains against \omega-regular specifications…

Logic in Computer Science · Computer Science 2023-04-10 Christel Baier , Stefan Kiefer , Joachim Klein , David Müller , James Worrell

The decidability and complexity of reachability problems and model-checking for flat counter machines have been explored in detail. However, only few results are known for flat (lossy) FIFO machines, only in some particular cases (a single…

Computational Complexity · Computer Science 2023-06-22 Alain Finkel , M. Praveen

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent real-time extensions of Linear Temporal Logic (LTL). In general, the satisfiability checking problem for these extensions is undecidable when both the…

Logic in Computer Science · Computer Science 2021-09-07 Shankara Narayanan Krishna , Khushraj Madnani , Manuel Mazo , Paritosh K. Pandya

A data word is a sequence of pairs of a letter from a finite alphabet and an element from an infinite set, where the latter can only be compared for equality. Safety one-way alternating automata with one register on infinite data words are…

Logic in Computer Science · Computer Science 2010-04-12 Ranko Lazic

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton, are there words accepted with probability arbitrarily close to 1? This problem was proved undecidable recently; to…

Formal Languages and Automata Theory · Computer Science 2017-01-11 Nathanaël Fijalkow , Hugo Gimbert , Edon Kelmendi , Youssouf Oualhadj

We propose a novel algorithm for automata-based LTL model checking that interleaves the construction of the generalized B\"{u}chi automaton for the negation of the formula and the emptiness check. Our algorithm first converts the LTL…

Logic in Computer Science · Computer Science 2007-05-23 Moritz Hammer , Alexander Knapp , Stephan Merz

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

Parametric timed automata extend the standard timed automata with the possibility to use parameters in the clock guards. In general, if the parameters are real-valued, the problem of language emptiness of such automata is undecidable even…

Formal Languages and Automata Theory · Computer Science 2016-08-08 Nikola Beneš , Peter Bezděk , Kim G. Larsen , Jiří Srba

Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these…

Logic in Computer Science · Computer Science 2016-09-15 Gaëlle Fontaine , Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Loredana Sorrentino

First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

Logic in Computer Science · Computer Science 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

Model checking and automated theorem proving are two pillars of formal methods. This paper investigates model checking from an automated theorem proving perspective, aiming at combining the expressiveness of automated theorem proving and…

Logic in Computer Science · Computer Science 2017-10-03 Ying Jiang , Jian Liu , Gilles Dowek , Kailiang Ji

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

We propose a formal proof of the undecidability of the model checking problem for alternating- time temporal logic under imperfect information and perfect recall semantics. This problem was announced to be undecidable according to a…

Logic in Computer Science · Computer Science 2011-02-22 Catalin Dima , Ferucio Laurentiu Tiplea

It is well known that the verification of resource-constrained multiagent systems is undecidable in general. In many such settings, resources are private to agents. In this paper, we investigate the model checking problem for a resource…

Logic in Computer Science · Computer Science 2015-08-17 Nils Bulling , Hoang Nga Nguyen

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

Alternating timed automata on infinite words are considered. The main result is a characterization of acceptance conditions for which the emptiness problem for these automata is decidable. This result implies new decidability results for…

Logic in Computer Science · Computer Science 2015-07-01 Pawel Parys , Igor Walukiewicz

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