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The satisfiability problem for branching-time temporal logics like CTL*, CTL and CTL+ has important applications in program specification and verification. Their computational complexities are known: CTL* and CTL+ are complete for doubly…

Logic in Computer Science · Computer Science 2015-07-01 Oliver Friedmann , Martin Lange , Markus Latte

The satisfiability problem of the branching time logic CTL is studied in terms of computational complexity. Tight upper and lower bounds are provided for each temporal operator fragment. In parallel, the minimal model size is studied with a…

Logic in Computer Science · Computer Science 2017-02-27 Martin Lück

This manuscript presents verification cases that are developed to study the electrothermal instability (ETI). Specific verification cases are included to ensure that the unit physics components necessary to model the ETI are accurate,…

Plasma Physics · Physics 2021-03-10 R. L. Masti , C. L. Ellison , J. R. King , P. H. Stoltz , B. Srinivasan

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-counter automata. This problem is known to be undecidable in…

Logic in Computer Science · Computer Science 2023-06-22 Antonia Lechner , Richard Mayr , Joël Ouaknine , Amaury Pouly , James Worrell

Declarative Distributed Systems (DDSs) are distributed systems grounded in logic programming. Although DDS model-checking is undecidable in general, we detect decidable cases by tweaking the data-source bounds, the message expressiveness,…

Logic in Computer Science · Computer Science 2023-08-22 Francesco Di Cosmo

In many situations, the measurements of a studied phenomenon are provided sequentially, and the prediction of its class needs to be made as early as possible so as not to incur too high a time penalty, but not too early and risk paying the…

Machine Learning · Computer Science 2025-11-18 Aurélien Renault , Alexis Bondu , Antoine Cornuéjols , Vincent Lemaire

Model-checking is one of the most powerful techniques for verifying systems and programs, which since the pioneering results by Knapik et al., Ong, and Kobayashi, is known to be applicable to functional programs with higher-order types…

Logic in Computer Science · Computer Science 2023-09-01 Ugo Dal Lago , Alexis Ghyselen

Hyperproperties are properties of systems that relate different executions traces, with many applications from security to symmetry, consistency models of concurrency, etc. In recent years, different linear-time logics for specifying…

Logic in Computer Science · Computer Science 2022-07-08 Laura Bozzelli , Adriano Peron , Cesar Sanchez

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

We show that the model-checking problem is decidable for a fragment of the epistemic \mu-calculus. The fragment allows free variables within the scope of epistemic modalities in a restricted form that avoids constructing formulas embodying…

Logic in Computer Science · Computer Science 2012-07-17 Rodica Bozianu , Cătălin Dima , Constantin Enea

In order to deal with the systematic verification with uncertain infromation in possibility theory, Li and Li \cite{li12} introduced model checking of linear-time properties in which the uncertainty is modeled by possibility measures. Xue,…

Logic in Computer Science · Computer Science 2014-01-21 Yongming Li , Yali Li , Zhanyou Ma

In a seminal paper from 1985, Sistla and Clarke showed that the model-checking problem for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of temporal operators used. If, in contrast, the set of…

Logic in Computer Science · Computer Science 2016-09-08 Michael Bauland , Martin Mundhenk , Thomas Schneider , Henning Schnoor , Ilka Schnoor , Heribert Vollmer

We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together…

Logic in Computer Science · Computer Science 2010-12-20 Janardan Misra , Suman Roy

We study the guarded negation fragment of transitive closure logic (GNTC). We show that the satisfiability problem for GNTC is 2ExpTime-complete, by establishing the following reductions: (i) a polynomial-time reduction from the…

Logic in Computer Science · Computer Science 2026-05-20 Diego Figueira , Santiago Figueira , Yoshiki Nakamura

We present a logic that extends CTL (Computation Tree Logic) with operators that express synchronization properties. A property is synchronized in a system if it holds in all paths of a certain length. The new logic is obtained by using the…

Logic in Computer Science · Computer Science 2016-05-25 Krishnendu Chatterjee , Laurent Doyen

Multi-Agent Systems (MAS) are notoriously complex and hard to verify. In fact, it is not trivial to model a MAS, and even when a model is built, it is not always possible to verify, in a formal way, that it is actually behaving as we…

Logic in Computer Science · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

We present a variant of ATL with distributed knowledge operators based on a synchronous and perfect recall semantics. The coalition modalities in this logic are based on partial observation of the full history, and incorporate a form of…

Logic in Computer Science · Computer Science 2010-08-11 Cătălin Dima , Constantin Enea , Dimitar Guelev

The high availability and scalability of weakly-consistent systems attracts system designers. Yet, writing correct application code for this type of systems is difficult; even how to specify the intended behavior of such systems is still an…

Logic in Computer Science · Computer Science 2017-04-19 Mathias Weber , Annette Bieniusa , Arnd Poetzsch-Heffter

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl
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