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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 2023-06-22 Michele Chiari , Dino Mandrioli , Matteo Pradella

Temporal logics stands for a widely adopted family of formalisms for the verification of computational devices, enriching propositional logics by operators predicating on the step-wise behaviour of a system. Its quantified extensions allow…

Logic in Computer Science · Computer Science 2022-01-05 Fabio Gadducci , Davide Trotta

We propose an extension of Strategy Logic (SL), in which one can both reason about strategizing under imperfect information and about players' knowledge. One original aspect of our approach is that we do not force strategies to be uniform,…

Logic in Computer Science · Computer Science 2019-08-08 Sophia Knight , Bastien Maubert

While large language models (LLMs) have demonstrated remarkable reasoning capabilities, they are not without their flaws and inaccuracies. Recent studies have introduced various methods to mitigate these limitations. Temporal reasoning…

Computation and Language · Computer Science 2024-10-10 Siheng Xiong , Ali Payani , Ramana Kompella , Faramarz Fekri

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

Temporal reasoning is fundamental to human cognition and is crucial for various real-world applications. While recent advances in Large Language Models have demonstrated promising capabilities in temporal reasoning, existing benchmarks…

Computation and Language · Computer Science 2025-02-25 Zhenglin Wang , Jialong Wu , Pengfei LI , Yong Jiang , Deyu Zhou

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

We develop game-theoretic semantics (GTS) for the fragment ATL+ of the full Alternating-time Temporal Logic ATL*, essentially extending a recently introduced GTS for ATL. We first show that the new game-theoretic semantics is equivalent to…

Logic · Mathematics 2019-06-17 Valentin Goranko , Antti Kuusisto , Raine Rönnholm

We introduce a hybrid spatiotemporal logic for automotive safety applications (HSTL), focused on highway driving. Spatiotemporal logic features specifications about vehicles throughout space and time, while hybrid logic enables precise…

Logic in Computer Science · Computer Science 2026-03-30 Radu-Florin Tulcan , Rose Bohrer , Yoàv Montacute , Kevin Zhou , Yusuke Kawamoto , Ichiro Hasuo

Large language models (LLMs) excel in many tasks but struggle to accurately quantify uncertainty in their generated responses. This limitation makes it challenging to detect misinformation and ensure reliable decision-making. Existing…

Computation and Language · Computer Science 2025-06-04 Boxuan Zhang , Ruqi Zhang

DatalogMTL is an extension of Datalog with metric temporal operators that has found an increasing number of applications in recent years. Reasoning in DatalogMTL is, however, of high computational complexity, which makes reasoning in modern…

Logic in Computer Science · Computer Science 2025-06-11 Dingmin Wang , Przemysław A. Wałęga , Pan Hu , Bernardo Cuenca Grau

Dynamic Topological Logic ($\mathcal{DTL}$) is a combination of $\mathcal{S}${\em 4}, under its topological interpretation, and the temporal logic $\mathcal{LTL}$ interpreted over the natural numbers. $\mathcal{DTL}$ is used to reason about…

Logic · Mathematics 2016-11-22 David Fernández-Duque

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

Primal logic arose in access control; it has a remarkably efficient (linear time) decision procedure for its entailment problem. But primal logic is a general logic of information. In the realm of arbitrary items of information (infons),…

Logic in Computer Science · Computer Science 2023-07-14 Yuri Gurevich , Andreas Blass

This paper addresses the problem of learning optimal policies for satisfying signal temporal logic (STL) specifications by agents with unknown stochastic dynamics. The system is modeled as a Markov decision process, in which the states…

Systems and Control · Computer Science 2016-09-26 Derya Aksaray , Austin Jones , Zhaodan Kong , Mac Schwager , Calin Belta

In multi-agent system design, a crucial aspect is to ensure robustness, meaning that for a coalition of agents A, small violations of adversarial assumptions only lead to small violations of A's goals. In this paper we introduce a logical…

Logic in Computer Science · Computer Science 2023-07-21 Aniello Murano , Daniel Neider , Martin Zimmermann

Metric temporal logic (MTL) and timed propositional temporal logic (TPTL) are quantitative extensions of linear temporal logic, which are prominent and widely used in the verification of real-timed systems. It was recently shown that the…

Logic in Computer Science · Computer Science 2023-06-22 Shiguang Feng , Markus Lohrey , Karin Quaas

Verifying quantum systems has attracted a lot of interest in the last decades.In this paper, we study the quantitative model-checking of quantum continuous-time Markov chains (quantum CTMCs). The branching-time properties of quantum CTMCs…

Logic in Computer Science · Computer Science 2025-11-19 Ming Xu , Jingyi Mei , Ji Guan , Yuxin Deng , Nengkun Yu

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

Hypertrace logic is a sorted first-order logic with separate sorts for time and execution traces. Its formulas specify hyperproperties, which are properties relating multiple traces. In this work, we extend hypertrace logic by introducing…

Logic in Computer Science · Computer Science 2025-10-15 Marek Chalupa , Thomas A. Henzinger , Ana Oliveira da Costa