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Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

Hyperproperties are properties that describe the correctness of a system as a relation between multiple executions. Hyperproperties generalize trace properties and include information-flow security requirements, like noninterference, as…

Logic in Computer Science · Computer Science 2020-10-14 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

Fidelity is one of the most widely used quantities in quantum information that measure the distance of quantum states through a noisy channel. In this paper, we introduce a quantum analogy of computation tree logic (CTL) called QCTL, which…

Logic in Computer Science · Computer Science 2023-10-20 Ming Xu , Jianling Fu , Jingyi Mei , Yuxin Deng

Property Specification Language (PSL) is a form of temporal logic that has been mainly used in discrete domains (e.g. formal hardware verification). In this paper, we show that by merging machine learning techniques with PSL monitors, we…

Machine Learning · Computer Science 2022-05-30 Kevin Smith , Hai Lin , Praveen Tiwari , Marjorie Sayer , Claudionor Coelho

Temporal logics are extensively used for the specification of on-going behaviours of reactive systems. Two significant developments in this area are the extension of traditional temporal logics with modalities that enable the specification…

Logic in Computer Science · Computer Science 2019-05-29 Patricia Bouyer , Orna Kupferman , Nicolas Markey , Bastien Maubert , Aniello Murano , Giuseppe Perelli

Many complex scenarios require the coordination of agents possessing unique points of view and distinct semantic commitments. In response, standpoint logic (SL) was introduced in the context of knowledge integration, allowing one to reason…

Artificial Intelligence · Computer Science 2023-04-28 Nicola Gigante , Lucia {Gomez Alvarez} , Tim S. Lyon

In the last years, the adoption of active systems has increased in many fields of computer science, such as databases, sensor networks, and software engineering. These systems are able to automatically react to events, by collecting…

Logic in Computer Science · Computer Science 2012-03-29 Achille Frigeri , Liliana Pasquale , Paola Spoletini

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

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

In this paper, we introduce LLMCHECKER, a model-checking-based verification method to verify the probabilistic computation tree logic (PCTL) properties of an LLM text generation process. We empirically show that only a limited number of…

Artificial Intelligence · Computer Science 2025-09-24 Dennis Gross , Helge Spieker , Arnaud Gotlieb

Qualitative formal verification, that seeks boolean answers about the behavior of a system, is often insufficient for practical purposes. Observing quantitative information is of interest, e.g. for the proper calibration of a battery or a…

Logic in Computer Science · Computer Science 2015-06-19 Maximilien Colange , Dimitri Racordon , Didier Buchs

Characterisations theorems serve as important tools in model theory and can be used to assess and compare the expressive power of temporal languages used for the specification and verification of properties in formal methods. While complete…

Logic in Computer Science · Computer Science 2024-04-30 Massimo Benerecetti , Laura Bozzelli , Fabio Mogavero , Adriano Peron

We introduce a similarity function on formulae of signal temporal logic (STL). It comes in the form of a kernel function, well known in machine learning as a conceptually and computationally efficient tool. The corresponding kernel trick…

Logic in Computer Science · Computer Science 2022-01-26 Luca Bortolussi , Giuseppe Maria Gallo , Jan Křetínský , Laura Nenzi

Safety-critical infrastructures must operate in a safe and reliable way. Fault tree analysis is a widespread method used for risk assessment of these systems: fault trees (FTs) are required by, e.g., the Federal Aviation Administration and…

Logic in Computer Science · Computer Science 2025-08-05 Stefano M. Nicoletti , Milan Lopuhaä-Zwakenberg , E. Moritz Hahn , Mariëlle Stoelinga

To express temporal properties of dense-time real-valued signals, the Signal Temporal Logic (STL) has been defined by Maler et al. The work presented a monitoring algorithm deciding the satisfiability of STL formulae on finite discrete…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Petr Dluhoš , Luboš Brim , David Šafránek

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

Probabilistic automata (PAs) have been successfully applied in formal verification of concurrent and stochastic systems. Efficient model checking algorithms have been studied, where the most often used logics for expressing properties are…

Logic in Computer Science · Computer Science 2015-07-01 Lei Song , Lijun Zhang , Jens Chr. Godskesen , Flemming Nielson

Probabilistic systems are an important theme in AI domain. As the specification language, the logic PCTL is now the default logic for reasoning about probabilistic properties. In this paper, we present a natural and succinct probabilistic…

Logic in Computer Science · Computer Science 2015-05-11 Wanwei Liu , Lei Song , Ji Wang , Lijun Zhang
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