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We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show…

Logic in Computer Science · Computer Science 2017-06-28 Normann Decker , Peter Habermehl , Martin Leucker , Arnaud Sangnier , Daniel Thoma

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

It is important to find optimal solutions for structural errors in rule-based expert systems .Solutions to discovering such errors by using model checking techniques have already been proposed, but these solutions have problems such as…

Artificial Intelligence · Computer Science 2014-04-11 Einollah pira , Mohammad Reza Zand Miralvand , Fakhteh Soltani

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results…

Logic in Computer Science · Computer Science 2017-01-11 Veronique Bruyere , Jean-Francois Raskin

The CTL learning problem consists in finding for a given sample of positive and negative Kripke structures a distinguishing CTL formula that is verified by the former but not by the latter. Further constraints may bound the size and shape…

Logic in Computer Science · Computer Science 2024-04-17 Adrien Pommellet , Daniel Stan , Simon Scatton

Probabilistic Computation Tree Logic (PCTL) and Continuous Stochastic Logic (CSL) are often used to describe specifications of probabilistic properties for discrete time and continuous time, respectively. In PCTL and CSL, the possibility of…

Logic in Computer Science · Computer Science 2011-11-15 Takashi Tomita , Shigeki Hagihara , Naoki Yonezaki

Probabilistic timed automata are an extension of timed automata with discrete probability distributions. We consider model-checking algorithms for the subclasses of probabilistic timed automata which have one or two clocks. Firstly, we show…

Logic in Computer Science · Computer Science 2019-03-14 Marcin Jurdzinski , Francois Laroussinie , Jeremy Sproston

Hyperproperties enable simultaneous reasoning about multiple execution traces of a system and are useful to reason about non-interference, opacity, robustness, fairness, observational determinism, etc. We introduce hyper parametric timed…

Formal Languages and Automata Theory · Computer Science 2024-08-01 Masaki Waga , Étienne André

Tree Regular Model Checking (TRMC) is the name of a family of techniques for analyzing infinite-state systems in which states are represented by terms, and sets of states by Tree Automata (TA). The central problem in TRMC is to decide…

Formal Languages and Automata Theory · Computer Science 2012-03-09 Thomas Genet , Tristan Le Gall , Axel Legay , Valerie Murat

In this paper, we propose a novel one-pass and tree-shaped tableau method for Timed Propositional Temporal Logic and for a bounded variant of its extension with past operators. Timed Propositional Temporal Logic (TPTL) is a real-time…

Logic in Computer Science · Computer Science 2018-09-11 Luca Geatti , Nicola Gigante , Angelo Montanari , Mark Reynolds

We define extensions of CTL and TCTL with strategic operators, called Strategic CTL (SCTL) and Strategic TCTL (STCTL), respectively. For each of the above logics we give a synchronous and asynchronous semantics, i.e., STCTL is interpreted…

Logic in Computer Science · Computer Science 2023-10-20 Jaime Arias , Wojciech Jamroga , Wojciech Penczek , Laure Petrucci , Teofil Sidoruk

Possibilistic computation tree Logic (PoCTL) is one kind of branching temporal logic combined with uncertain information in possibility theory, which was introduced in order to cope with the systematic verification on systems with uncertain…

Logic in Computer Science · Computer Science 2025-10-28 Yongming Li

Expressing system specifications using Computation Tree Logic (CTL) formulas, formalising programs using Kripke structures, and then model checking the system is an established workflow in program verification and has wide applications in…

Logic in Computer Science · Computer Science 2023-12-18 Nicolas Fröhlich , Arne Meier

Quantified CTL (QCTL) extends the temporal logic CTL with quantifications over atomic propositions. This extension is known to be very expressive: QCTL allows us to express complex properties over Kripke structures (it is as expressive as…

Logic in Computer Science · Computer Science 2020-10-08 A. Hossain , F. Laroussinie

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

We study model checking algorithms for infinite families of finite-state labeled transition systems against temporal properties written in CTL*. Such families arise, for example, as models of highly configurable systems or software product…

Logic in Computer Science · Computer Science 2026-01-23 Roberto Pettinau , Christoph Matheja

Expressing program correctness often requires relating program data throughout (different branches of) an execution. Such properties can be represented using CTL+FO, a logic that allows mixing temporal and first-order quantification.…

Logic in Computer Science · Computer Science 2014-06-24 Tewodros A. Beyene , Marc Brockschmidt , Andrey Rybalchenko

We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model-checking problems for that model based on extensions of…

Logic in Computer Science · Computer Science 2015-07-01 Patricia Bouyer , Kim G. Larsen , Nicolas Markey

The two major systems of formal verification are model checking and algebraic model-based testing. Model checking is based on some form of temporal logic such as linear temporal logic (LTL) or computation tree logic (CTL). One powerful and…

Logic in Computer Science · Computer Science 2019-01-31 Stefan D. Bruda , Sunita Singh , A. F. M. Nokib Uddin , Zhiyu Zhang , Rui Zuo