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An important problem that arises during the execution of service-based applications concerns the ability to determine whether a running service can be substituted with one with a different interface, for example if the former is no longer…

Logic in Computer Science · Computer Science 2010-04-19 Marcello M. Bersani , Luca Cavallaro , Achille Frigeri , Matteo Pradella , Matteo Rossi

Quantified CTL (QCTL) is a well-studied temporal logic that extends CTL with quantification over atomic propositions. It has recently come to the fore as a powerful intermediary framework to study logics for strategic reasoning. We extend…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano

We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL itself was proposed as an extension of Linear Temporal Logic (LTL) that…

Logic in Computer Science · Computer Science 2015-12-08 Peter Faymonville , Martin Zimmermann

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 consider G\"odel temporal logic ($\sf GTL$), a variant of linear temporal logic based on G\"odel--Dummett propositional logic. In recent work, we have shown this logic to enjoy natural semantics both as a fuzzy logic and as a…

Logic in Computer Science · Computer Science 2022-12-05 Juan Pablo Aguilera , Martín Diéguez , David Fernández-Duque , Brett McLean

Metric Temporal Logic $\mathsf{MTL}[\until_I,\since_I]$ is one of the most studied real time logics. It exhibits considerable diversity in expressiveness and decidability properties based on the permitted set of modalities and the nature of…

Logic in Computer Science · Computer Science 2014-04-29 Khushraj Madnani , Shankara Narayanan Krishna , Paritosh Pandya

We introduce an expressive probabilistic temporal epistemic logic PTEL suitable to reason about uncertain knowledge of a non-rigid set of agents that can be changed during time. We define semantics for PTEL as Kripke models with epistemic…

Logic · Mathematics 2021-05-27 Zoran Ognjanović , Angelina Ilić Stepić , Aleksandar Perović

Signal Temporal Logic (STL) is a widely adopted specification language in cyber-physical systems for expressing critical temporal requirements, such as safety conditions and response time. However, STL's expressivity is not sufficient to…

Logic in Computer Science · Computer Science 2025-04-15 Hongkai Chen , Zeyu Zhang , Shouvik Roy , Ezio Bartocci , Scott A. Smolka , Scott D. Stoller , Shan Lin

We propose a local model-checking proof system for a fragment of CTL. The rules of the proof system are motivated by the well-known fixed-point characterisation of CTL based on unfolding of the temporal operators. To guarantee termination…

Logic in Computer Science · Computer Science 2023-09-12 Georg Friedrich Schuppe , Dilian Gurov

We propose enhancing the use of propositions for denoting decisions and strategies as established in temporal languages such as CTL*, if interpreted on concurrent game models. The enhancement enables specifying varying coalition structure.…

Logic in Computer Science · Computer Science 2020-11-10 Dimitar P. Guelev

Hyperproperties generalize trace properties by expressing relations between multiple computations. Hyperpropertes include policies from information-flow security, like observational determinism or non-interference, and many other system…

Logic in Computer Science · Computer Science 2021-07-27 Bernd Finkbeiner

We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

Logic in Computer Science · Computer Science 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

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

Distributed systems are critical to reliable and scalable computing; however, they are complicated in nature and prone to bugs. To modularly manage this complexity, network middleware has been traditionally built in layered stacks of…

Programming Languages · Computer Science 2020-04-06 Jeremiah Griffin , Mohsen Lesani , Narges Shadab , Xizhe Yin

A continuous-time Markov chain (CTMC) execution is a continuous class of probability distributions over states. This paper proposes a probabilistic linear-time temporal logic, namely continuous-time linear logic (CLL), to reason about the…

Logic in Computer Science · Computer Science 2022-04-15 Ji Guan , Nengkun Yu

Temporal logics are widely used by the Formal Methods and AI communities. Linear Temporal Logic is a popular temporal logic and is valued for its ease of use as well as its balance between expressiveness and complexity. LTL is equivalent in…

Logic in Computer Science · Computer Science 2025-07-16 Kevin W. Smith , Moshe Y. Vardi

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

The problem of model checking procedural programs has fostered much research towards the definition of temporal logics for reasoning on context-free structures. The most notable of such results are temporal logics on Nested Words, such as…

Logic in Computer Science · Computer Science 2020-11-03 Michele Chiari , Dino Mandrioli , Matteo Pradella

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent extensions of Linear Temporal Logic to specify properties about data languages. In this paper, we consider the class of data languages of non-monotonic…

Logic in Computer Science · Computer Science 2014-05-23 Claudia Carapelle , Shiguang Feng , Oliver Fernández Gil , Karin Quaas

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones