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We propose LeanLTL, a unifying framework for linear temporal logics in Lean 4. LeanLTL supports reasoning about traces that represent either infinite or finite linear time. The library allows traditional LTL syntax to be combined with…

Logic in Computer Science · Computer Science 2025-07-03 Eric Vin , Kyle A. Miller , Daniel J. Fremont

Conformance checking is a set of process mining functions that compare process instances with a given process model. It identifies deviations between the process instances' actual behaviour ("as-is") and its modelled behaviour ("to-be").…

Software Engineering · Computer Science 2020-07-22 Sebastian Dunzer , Matthias Stierle , Martin Matzner , Stephan Baier

Networks are difficult to configure correctly, and tricky to debug. These problems are accentuated by temporal and stateful behavior. Static verification, while useful, is ineffectual for detecting behavioral deviations induced by hardware…

Networking and Internet Architecture · Computer Science 2016-07-18 Tim Nelson , Nicholas DeMarinis , Timothy Adam Hoff , Rodrigo Fonseca , Shriram Krishnamurthi

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

HyperLTL, the extension of Linear Temporal Logic by trace quantifiers, is a uniform framework for expressing information flow policies by relating multiple traces of a security-critical system. HyperLTL has been successfully applied to…

Logic in Computer Science · Computer Science 2019-12-17 Corto Mascle , Martin Zimmermann

We present a hierarchical framework for analysing propositional linear-time temporal logic (PTL) to obtain standard results such as a small model property, decision procedures and axiomatic completeness. Both finite time and infinite time…

Logic in Computer Science · Computer Science 2007-05-23 Ben Moszkowski

The analysis of complex dynamic systems is a core research topic in formal methods and AI, and combined modelling of systems with data has gained increasing importance in applications such as business process management. In addition,…

Logic in Computer Science · Computer Science 2022-05-19 Paolo Felli , Marco Montali , Sarah Winkler

Motion planning of an autonomous system with high-level specifications has wide applications. However, research of formal languages involving timed temporal logic is still under investigation. Furthermore, many existing results rely on a…

Robotics · Computer Science 2022-02-15 Zhiliang Li , Mingyu Cai , Shaoping Xiao , Zhen Kan

Linear-time temporal logic on finite traces (LTLf) is rapidly becoming a de-facto standard to produce specifications in many application domains (e.g., planning, business process management, run-time monitoring, reactive synthesis). Several…

Logic in Computer Science · Computer Science 2024-06-19 Marco Roveri , Claudio Di Ciccio , Chiara Di Francescomarino , Chiara Ghidini

In modern IT systems and computer networks, real-time and offline event log analysis is a crucial part of cyber security monitoring. In particular, event log analysis techniques are essential for the timely detection of cyber attacks and…

Cryptography and Security · Computer Science 2025-04-15 Risto Vaarandi , Hayretdin Bahsi

This paper presents a novel framework for inferring timed temporal logic properties from data. The dataset comprises pairs of finite-time system traces and corresponding labels, denoting whether the traces demonstrate specific desired…

Machine Learning · Computer Science 2024-08-15 Kaier Liang , Gustavo A. Cardona , Disha Kamale , Cristian-Ioan Vasile

Empirical evaluation of state-of-the-art natural-language (NL) to temporal-logic (TL) translation systems reveals near-perfect performance on existing benchmarks. However, current studies measure only the accuracy of the translation of NL…

Systems and Control · Electrical Eng. & Systems 2025-12-19 William H English , Chase Walker , Dominic Simon , Sumit Kumar Jha , Rickard Ewetz

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

This paper presents a command-line tool, called Entropia, that implements a family of conformance checking measures for process mining founded on the notion of entropy from information theory. The measures allow quantifying classical…

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

The capability to store data about business processes execution in so-called Event Logs has brought to the diffusion of tools for the analysis of process executions and for the assessment of the goodness of a process model. Nonetheless,…

Verification is crucial for effective mathematical reasoning. We present a new temporal consistency method where verifiers iteratively refine their judgments based on the previous assessment. Unlike one-round verification or multi-model…

Computation and Language · Computer Science 2025-12-01 Jiacheng Guo , Yue Wu , Jiahao Qiu , Kaixuan Huang , Xinzhe Juan , Ling Yang , Mengdi Wang

In this paper we present an algorithm for performing runtime verification of a bounded temporal logic over timed runs. The algorithm consists of three elements. First, the bounded temporal formula to be verified is translated into a monadic…

Logic in Computer Science · Computer Science 2007-06-01 Henrik Reif Andersen , Kaare J. Kristoffersen

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in different environments. Significant insights can be gained by mining temporal patterns from these time series. Unlike traditional…

Databases · Computer Science 2021-11-18 Van Long Ho , Nguyen Ho , Torben Bach Pedersen
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