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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

We introduce a temporal logic to reason on global applications in an asynchronous setting. First, we define the Distributed States Logic (DSL), a modal logic for localities that embeds the local theories of each component into a theory of…

Logic in Computer Science · Computer Science 2016-08-31 Carlo Montangero , Laura Semini

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

This paper presents Non-Axiomatic Term Logic (NATL) as a theoretical computational framework of humanlike symbolic reasoning in artificial intelligence. NATL unites a discrete syntactic system inspired from Aristotle's term logic and a…

Artificial Intelligence · Computer Science 2022-11-23 Kotaro Funakoshi

The emergence of Large Language Models (LLMs) has transformed information access, with current LLMs also powering deep research systems that can generate comprehensive report-style answers, through planned iterative search, retrieval, and…

Computation and Language · Computer Science 2025-06-18 Bruno Martins , Piotr Szymański , Piotr Gramacki

Large language models (LLMs) have showcased remarkable reasoning capabilities, yet they remain susceptible to errors, particularly in temporal reasoning tasks involving complex temporal logic. Existing research has explored LLM performance…

Computation and Language · Computer Science 2024-06-14 Bahare Fatemi , Mehran Kazemi , Anton Tsitsulin , Karishma Malkan , Jinyeong Yim , John Palowitch , Sungyong Seo , Jonathan Halcrow , Bryan Perozzi

Datalog is one of the best-known rule-based languages, and extensions of it are used in a wide context of applications. An important Datalog extension is Disjunctive Datalog, which significantly increases the expressivity of the basic…

Artificial Intelligence · Computer Science 2012-10-09 Mario Alviano , Wolfgang Faber , Nicola Leone , Marco Manna

Temporal Reasoning (TR) is a critical ability for LLMs to understand and reason over temporal information and relationships between events. To study the TR ability in LLMs, prior works provide different ways for evaluating various aspects…

Computation and Language · Computer Science 2026-01-06 Weizhi Tang , Kwabena Nuamah , Vaishak Belle

Traditional time series analysis has long relied on pattern recognition, trained on static and well-established benchmarks. However, in real-world settings -- where policies shift, human behavior adapts, and unexpected events unfold --…

Artificial Intelligence · Computer Science 2025-10-16 Xinlei Wang , Mingtian Tan , Jing Qiu , Junhua Zhao , Jinjin Gu

Temporal tabular question answering presents a significant challenge for Large Language Models (LLMs), requiring robust reasoning over structured data, which is a task where traditional prompting methods often fall short. These methods face…

Computation and Language · Computer Science 2025-06-09 Atharv Kulkarni , Kushagra Dixit , Vivek Srikumar , Dan Roth , Vivek Gupta

In this note we consider the problem of introducing variables in temporal logic programs under the formalism of "Temporal Equilibrium Logic" (TEL), an extension of Answer Set Programming (ASP) for dealing with linear-time modal operators.…

Artificial Intelligence · Computer Science 2016-09-20 Felicidad Aguado , Pedro Cabalar , Martín Diéguez , Gilberto Pérez , Concepción Vidal

We aim at improving reasoning on inconsistent and uncertain data. We focus on knowledge-graph data, extended with time intervals to specify their validity, as regularly found in historical sciences. We propose principles on semantics for…

Artificial Intelligence · Computer Science 2022-11-30 Victor David , Raphaël Fournier-S'niehotta , Nicolas Travers

This book introduces a temporal type theory, the first of its kind as far as we know. It is based on a standard core, and as such it can be formalized in a proof assistant such as Coq or Lean by adding a number of axioms. Well-known…

Category Theory · Mathematics 2017-12-27 Patrick Schultz , David I. Spivak

With the increasing capabilities of Large Language Models (LLMs), parallel reasoning has emerged as a new inference paradigm that enhances reasoning robustness by concurrently exploring multiple lines of thought before converging on a final…

Computation and Language · Computer Science 2025-10-15 Ziqi Wang , Boye Niu , Zipeng Gao , Zhi Zheng , Tong Xu , Linghui Meng , Zhongli Li , Jing Liu , Yilong Chen , Chen Zhu , Hua Wu , Haifeng Wang , Enhong Chen

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

Large language models have demonstrated strong reasoning capabilities in general knowledge question answering. However, their ability to handle temporal information remains limited. To address this limitation, existing approaches often…

Computation and Language · Computer Science 2026-04-28 Yimin Deng , Yejing Wang , Zhenxi Lin , Zichuan Fu , Guoshuai Zhao , Derong Xu , Yefeng Zheng , Xiangyu Zhao , Xian Wu , Li Zhu , Xueming Qian

Temporal reasoning is pivotal for Large Language Models (LLMs) to comprehend the real world. However, existing works neglect the real-world challenges for temporal reasoning: (1) intensive temporal information, (2) fast-changing event…

Artificial Intelligence · Computer Science 2025-10-09 Shaohang Wei , Wei Li , Feifan Song , Wen Luo , Tianyi Zhuang , Haochen Tan , Zhijiang Guo , Houfeng Wang

Over the past thirty years, there has been considerable progress in the design of natural language interfaces to databases. Most of this work has concerned snapshot databases, in which there are only limited facilities for manipulating…

cmp-lg · Computer Science 2008-02-03 I. Androutsopoulos , G. D. Ritchie , P. Thanisch

Time-series reasoning remains a significant challenge in multimodal large language models (MLLMs) due to the dynamic temporal patterns, ambiguous semantics, and lack of temporal priors. In this work, we introduce TimeMaster, a reinforcement…

Machine Learning · Computer Science 2025-06-17 Junru Zhang , Lang Feng , Xu Guo , Yuhan Wu , Yabo Dong , Duanqing Xu

Large Language Models (LLMs) have emerged as powerful tools for generating coherent text, understanding context, and performing reasoning tasks. However, they struggle with temporal reasoning, which requires processing time-related…

Machine Learning · Computer Science 2025-06-02 Adrián Bazaga , Rexhina Blloshmi , Bill Byrne , Adrià de Gispert