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Computational analysis of time-course data with an underlying causal structure is needed in a variety of domains, including neural spike trains, stock price movements, and gene expression levels. However, it can be challenging to determine…

Artificial Intelligence · Computer Science 2012-05-14 Samantha Kleinberg , Bud Mishra

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

This paper presents a novel framework for decentralized monitoring of Linear Temporal Logic (LTL), under the situation where processes are synchronous, uniform (i.e. all processes are peers), and the formula is represented as a tableau. The…

Logic in Computer Science · Computer Science 2018-08-28 Omar Al-Bataineh , David Rosenblum

The verification of asynchronous software components poses significant challenges due to the way components interleave and exchange input/output data concurrently. Compositional strategies aim to address this by separating the task of…

Logic in Computer Science · Computer Science 2026-03-11 Alberto Bombardelli , Stefano Tonetta

This article examines the interpretation of the LTL temporal operators over finite and infinite sequences. This is used as the basis for deriving a sound and complete axiomatization for Caret, a recent temporal logic for reasoning about…

Logic in Computer Science · Computer Science 2007-05-23 Riccardo Pucella

DatalogMTL is an extension of Datalog with operators from metric temporal logic which has received significant attention in recent years. It is a highly expressive knowledge representation language that is well-suited for applications in…

Artificial Intelligence · Computer Science 2022-01-13 Dingmin Wang , Pan Hu , Przemysław Andrzej Wałęga , Bernardo Cuenca Grau

Synthetic tabular data are increasingly being used to replace real data, serving as an effective solution that simultaneously protects privacy and addresses data scarcity. However, in addition to preserving global statistical properties,…

Machine Learning · Computer Science 2026-05-19 Yunbo Long , Liming Xu , Alexandra Brintrup

Temporal Equilibrium Logic (TEL) is a promising framework that extends the knowledge representation and reasoning capabilities of Answer Set Programming with temporal operators in the style of LTL. To our knowledge it is the first…

Logic in Computer Science · Computer Science 2015-03-03 Laura Bozzelli , David Pearce

We investigate the satisfaction of specifications in Prompt Linear Temporal Logic (Prompt-LTL) by concurrent systems. Prompt-LTL is an extension of LTL that allows to specify parametric bounds on the satisfaction of eventualities, thus…

Logic in Computer Science · Computer Science 2019-11-18 Swen Jacobs , Mouhammad Sakr , Martin Zimmermann

We propose a novel framework for ontology-based access to temporal log data using a datalog extension datalogMTL of a Horn fragment of the metric temporal logic MTL. We show that datalogMTL is ExpSpace-complete even with punctual intervals,…

Logic in Computer Science · Computer Science 2018-08-17 Sebastian Brandt , Elem Güzel Kalaycı , Vladislav Ryzhikov , Guohui Xiao , Michael Zakharyaschev

Hyperproperties are properties of computational systems that require more than one trace to evaluate, e.g., many information-flow security and concurrency requirements. Where a trace property defines a set of traces, a hyperproperty defines…

Logic in Computer Science · Computer Science 2021-04-30 Jan Baumeister , Norine Coenen , Borzoo Bonakdarpour , Bernd Finkbeiner , Cesar Sanchez

This paper investigates the problem of inferring knowledge from data so that the inferred knowledge is interpretable and informative to humans who have prior knowledge. Given a dataset as a collection of system trajectories, we infer…

Logic in Computer Science · Computer Science 2018-11-22 Zhe Xu , Melkior Ornik , A. Agung Julius , Ufuk Topcu

We study two fundamental questions in neuro-symbolic computing: can deep learning tackle challenging problems in logics end-to-end, and can neural networks learn the semantics of logics. In this work we focus on linear-time temporal logic…

Logic in Computer Science · Computer Science 2021-02-19 Christopher Hahn , Frederik Schmitt , Jens U. Kreber , Markus N. Rabe , Bernd Finkbeiner

Monitoring continuous data for meaningful signals increasingly demands long-horizon, stateful reasoning over unstructured streams. However, today's LLM frameworks remain stateless and one-shot, and traditional Complex Event Processing (CEP)…

Databases · Computer Science 2026-04-07 Shu Chen , Junhan Liu , Deepti Raghavan , Ugur Cetintemel

We present an approach for verifying systems at runtime. Our approach targets distributed systems whose components communicate with monitors over unreliable channels, where messages can be delayed, reordered, or even lost. Furthermore, our…

Logic in Computer Science · Computer Science 2019-09-26 David Basin , Felix Klaedtke , Eugen Zalinescu

Temporal reasoning over tabular data presents substantial challenges for large language models (LLMs), as evidenced by recent research. In this study, we conduct a comprehensive analysis of temporal datasets to pinpoint the specific…

Computation and Language · Computer Science 2024-07-24 Irwin Deng , Kushagra Dixit , Vivek Gupta , Dan Roth

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

Logic in Computer Science · Computer Science 2007-05-23 Alexei Lisitsa , Igor Potapov

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 2019-09-19 Daniel Neider , Alexander Weinert , Martin Zimmermann

We show that metric temporal logic can be viewed as linear time-invariant filtering, by interpreting addition, multiplication, and their neutral elements, over the (max,min,0,1) idempotent dioid. Moreover, by interpreting these operators…

Logic in Computer Science · Computer Science 2016-02-10 Alena Rodionova , Ezio Bartocci , Dejan Nickovic , Radu Grosu
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