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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

Real-time cybersecurity and privacy applications require reliable verification methods and system design tools to ensure their correctness. Many of these reactive real-time applications embedded in various infrastructures, such as airports,…

Logic in Computer Science · Computer Science 2025-10-08 David Cortes , Jean Leneutre , Vadim Malvone , James Ortiz

Parallel test-time scaling (TTS) is a pivotal approach for enhancing large language models (LLMs), typically by sampling multiple token-based chains-of-thought in parallel and aggregating outcomes through voting or search. Recent advances…

Computation and Language · Computer Science 2026-04-21 Runyang You , Yongqi Li , Meng Liu , Wenjie Wang , Liqiang Nie , Wenjie Li

Design and control of autonomous systems that operate in uncertain or adversarial environments can be facilitated by formal modelling and analysis. Probabilistic model checking is a technique to automatically verify, for a given temporal…

Logic in Computer Science · Computer Science 2021-11-23 Marta Kwiatkowska , Gethin Norman , David Parker

Automated verification techniques for stochastic games allow formal reasoning about systems that feature competitive or collaborative behaviour among rational agents in uncertain or probabilistic settings. Existing tools and techniques…

Logic in Computer Science · Computer Science 2020-09-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Two new logics for verification of hyperproperties are proposed. Hyperproperties characterize security policies, such as noninterference, as a property of sets of computation paths. Standard temporal logics such as LTL, CTL, and CTL* can…

Logic in Computer Science · Computer Science 2014-01-22 Michael R. Clarkson , Bernd Finkbeiner , Masoud Koleini , Kristopher K. Micinski , Markus N. Rabe , César Sánchez

In this paper, we investigate finite representations of DatalogMTL models. First, we discuss sufficient conditions for detecting programs that have finite models. Then, we study infinite models that eventually become constant and introduce…

Logic in Computer Science · Computer Science 2022-02-17 Luigi Bellomarini , Markus Nissl , Emanuel Sallinger

Rewriting logic and its implementation Maude are a natural and expressive framework for the specification of concurrent systems and logics. Its nondeterministic local transformations are described by rewriting rules, which can be controlled…

Logic in Computer Science · Computer Science 2024-01-17 Rubén Rubio , Narciso Martí-Oliet , Isabel Pita , Alberto Verdejo

Quantum games have attracted much attention in recent years due to their ability to solve decision-making dilemmas. The aim of this study is to extend previous work on quantum games by introducing a Mathematica package QEGS (Quantum…

Quantum Physics · Physics 2025-05-05 Krzysztof Grzanka , Anna Gorczyca-Goraj , Piotr Frąckiewicz , Marek Szopa

We present a new strategic logic NCHATL that allows for reasoning about norm compliance on concurrent game structures that satisfy anonymity. We represent such game structures compactly, avoiding models that have exponential size in the…

Multiagent Systems · Computer Science 2014-05-28 Truls Pedersen , Sjur Dyrkolbotn , Piotr Kaźmierczak

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

Logic in Computer Science · Computer Science 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) extend Linear Temporal Logic (LTL) for real-time constraints, with MTL using time-bounded modalities and TPTL employing freeze quantifiers. Satisfiability for both is…

Logic in Computer Science · Computer Science 2024-11-04 Shankara Narayanan Krishna , Khushraj Madnani , Agnipratim Nag , Paritosh Pandya

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

Model checking strategic abilities was successfully developed and applied since the early 2000s to ensure properties in Multi-Agent System. In this paper, we introduce the notion of capacities giving different abilities to an agent. This…

Multiagent Systems · Computer Science 2023-08-23 Gabriel Ballot , Vadim Malvone , Jean Leneutre , Youssef Laarouchi

Among the approximation methods for the verification of counter systems, one of them consists in model-checking their flat unfoldings. Unfortunately, the complexity characterization of model-checking problems for such operational models is…

Logic in Computer Science · Computer Science 2013-04-24 Stéphane Demri , Amit Kumar Dhar , Arnaud Sangnier

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

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

In logics for the strategic reasoning the main challenge is represented by their verification in contexts of imperfect information and perfect recall. In this work, we show a technique to approximate the verification of Alternating-time…

Multiagent Systems · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

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

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 MSO). Several…

Logic in Computer Science · Computer Science 2019-06-25 Akash Hossain , Francois Laroussinie