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In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variety of first-order temporal logic that is both powerful enough for…

Logic in Computer Science · Computer Science 2007-05-23 Clare Dixon , Michael Fisher , Boris Konev , Alexei Lisitsa

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek

Classical algorithms of evaluation of temporal CTL formulas are constructed "bottom-up". A formula must be evaluated completely to give the result. In the paper, a new concept of "top-down" evaluation of temporal QsCTL (CTL with state…

Software Engineering · Computer Science 2017-03-29 Wiktor B. Daszczuk

System development is not a linear, one-shot process. It proceeds through refinements and revisions. To support assurance that the system satisfies its requirements, it is desirable that continuous verification can be performed after each…

Logic in Computer Science · Computer Science 2018-11-28 Claudio Menghi , Alessandro Maria Rizzi , Anna Bernasconi

Most autonomous robotic agents use logic inference to keep themselves to safe and permitted behaviour. Given a set of rules, it is important that the robot is able to establish the consistency between its rules, its perception-based…

Robotics · Computer Science 2016-11-11 Hongyang Qu , Sandor M. Veres

We introduce a machine learning approach to model checking temporal logic, with application to formal hardware verification. Model checking answers the question of whether every execution of a given system satisfies a desired temporal logic…

Logic in Computer Science · Computer Science 2024-11-01 Mirco Giacobbe , Daniel Kroening , Abhinandan Pal , Michael Tautschnig

This informal contribution presents an ongoing line of research that is pursuing a new approach to the construction of sound proofs for the formal verification and control of complex stochastic models of dynamical systems, of reactive…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Alessandro Abate

In this paper bounded model checking of asynchronous concurrent systems is introduced as a promising application area for answer set programming. As the model of asynchronous systems a generalisation of communicating automata, 1-safe Petri…

Logic in Computer Science · Computer Science 2007-05-23 Keijo Heljanko , Ilkka Niemelä

Runtime verification encompasses several lightweight techniques for checking whether a system's current execution satisfies a given specification. We focus on runtime verification for Linear Temporal Logic (LTL). Previous work describes…

Logic in Computer Science · Computer Science 2025-08-12 Javier Esparza , Vincent Fischer

Interval Temporal Logic (ITL) is an established temporal formalism for reasoning about time periods. For over 25 years, it has been applied in a number of ways and several ITL variants, axiom systems and tools have been investigated. We…

Logic in Computer Science · Computer Science 2015-07-01 Ben Moszkowski

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

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 propose a verified approach to the formal verification of timed properties using model-checking techniques. We focus on properties expressed using real-time specification patterns, which can be viewed as a subset of timed temporal logics…

Logic in Computer Science · Computer Science 2013-02-01 Nouha Abid , Silvano Dal Zilio , Didier Le Botlan

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

This paper presents the first model-checking algorithm for an expressive modal mu-calculus over timed automata, $L^{\mathit{rel}, \mathit{af}}_{\nu,\mu}$, and reports performance results for an implementation. This mu-calculus contains…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Peter Fontana , Rance Cleaveland

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

We introduce a model-checking tool intended specially for the analysis of quantum information protocols. The tool incorporates an efficient representation of a certain class of quantum circuits, namely those expressible in the so-called…

Quantum Physics · Physics 2008-04-21 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

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

Computation Tree Logic (CTL) and its extensions CTL* and CTL+ are widely used in automated verification as a basis for common model checking tools. But while they can express many properties of interest like reachability, even simple…

Logic in Computer Science · Computer Science 2019-10-28 Jens Oliver Gutsfeld , Markus Müller-Olm , Christian Dielitz