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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

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

Magic sets are a Datalog to Datalog rewriting technique to optimize query answering. The rewritten program focuses on a portion of the stable model(s) of the input program which is sufficient to answer the given query. However, the…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Nicola Leone , Pierfrancesco Veltri , Jessica Zangari

In the wake of the recent resurgence of the Datalog language of databases, together with its extensions for ontological reasoning settings, this work aims to bridge the gap between the theoretical studies of DatalogMTL (Datalog extended…

Databases · Computer Science 2025-06-11 Luigi Bellomarini , Livia Blasi , Markus Nissl , Emanuel Sallinger

DatalogMTL extends the classical Datalog language with metric temporal logic (MTL), enabling expressive reasoning over temporal data. While existing reasoning approaches, such as materialisation based and automata based methods, offer…

Artificial Intelligence · Computer Science 2026-02-05 Kaiyue Zhao , Dingqi Chen , Shaoyu Wang , Pan Hu

DatalogMTL is an extension of Datalog with metric temporal operators that has found applications in temporal ontology-based data access and query answering, as well as in stream reasoning. Practical algorithms for DatalogMTL are reliant on…

Databases · Computer Science 2022-09-28 Dingmin Wang , Przemysław Andrzej Wałęga , Bernardo Cuenca Grau

We introduce negation under the stable model semantics in DatalogMTL - a temporal extension of Datalog with metric temporal operators. As a result, we obtain a rule language which combines the power of answer set programming with the…

Logic in Computer Science · Computer Science 2023-06-14 Przemysław A. Wałęga , David J. Tena Cucala , Bernardo Cuenca Grau , Egor V. Kostylev

The reasoning capability of large language models (LLMs), defined as their ability to analyze, infer, and make decisions based on input information, is essential for building intelligent task-oriented dialogue systems. However, existing…

Computation and Language · Computer Science 2026-03-02 Yu Zhu , Kai Yang

Large Language Models (LLMs) have made significant progress in assisting users to query databases in natural language. While LLM-based techniques provide state-of-the-art results on many standard benchmarks, their performance significantly…

Artificial Intelligence · Computer Science 2024-07-09 Nina Narodytska , Shay Vargaftik

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

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Mathematical reasoning has long been a key benchmark for evaluating large language models. Although substantial progress has been made on math word problems, the need for reasoning over tabular data in real-world applications has been…

Artificial Intelligence · Computer Science 2026-04-20 Shi-Yu Tian , Zhi Zhou , Wei Dong , Kun-Yang Yu , Ming Yang , Zi-Jian Cheng , Lan-Zhe Guo , Yu-Feng Li

Reasoning over OWL 2 is a very expensive task in general, and therefore the W3C identified tractable profiles exhibiting good computational properties. Ontological reasoning for many fragments of OWL 2 can be reduced to the evaluation of…

Artificial Intelligence · Computer Science 2020-03-24 Mario Alviano , Marco Manna

Recent advances in large language models (LLMs) have enabled near-human performance on software coding benchmarks, but their effectiveness in RTL code generation remains limited due to the scarcity of high-quality training data. While prior…

Hardware Architecture · Computer Science 2025-07-17 Chenhui Deng , Yun-Da Tsai , Guan-Ting Liu , Zhongzhi Yu , Haoxing Ren

Recent years have seen increasing popularity of logic-based reasoning systems, with research and industrial interest as well as many flourishing applications in the area of Knowledge Graphs. Despite that, one can observe a substantial lack…

Databases · Computer Science 2021-03-16 Teodoro Baldazzi , Luigi Bellomarini , Emanuel Sallinger , Paolo Atzeni

Satisfiability modulo theories (SMT) solving has become a critical part of many static analyses, including symbolic execution, refinement type checking, and model checking. We propose Formulog, a domain-specific language that makes it…

Programming Languages · Computer Science 2020-10-19 Aaron Bembenek , Michael Greenberg , Stephen Chong

The temporal aspect is a significant dimension of our reality. We notice the challenge that large language models (LLMs) face when engaging in temporal reasoning. Our preliminary experiments show that methods involving the generation of…

Computation and Language · Computer Science 2024-11-05 Xingxuan Li , Liying Cheng , Qingyu Tan , Hwee Tou Ng , Shafiq Joty , Lidong Bing

Ability to count number of occurrences of events within a specified time interval is very useful in specification of resource bounded real time computation. In this paper, we study an extension of Metric Temporal Logic ($\mathsf{MTL}$) with…

Logic in Computer Science · Computer Science 2015-12-31 Khushraj Madnani , Shankara Narayanan Krishna , Paritosh Pandya

The reasoning capabilities of large language models (LLMs) have significantly advanced their performance by enabling in-depth understanding of diverse tasks. With growing interest in applying LLMs to the time series domain, this has proven…

Artificial Intelligence · Computer Science 2025-06-03 Jiahui Zhou , Dan Li , Lin Li , Zhuomin Chen , Shunyu Wu , Haozheng Ye , Jian Lou , Costas J. Spanos

Reasoning is a fundamental capability of large language models (LLMs), enabling them to comprehend, analyze, and solve complex problems. In this paper, we introduce TextGames, an innovative benchmark specifically crafted to assess LLMs…

Computation and Language · Computer Science 2025-02-26 Frederikus Hudi , Genta Indra Winata , Ruochen Zhang , Alham Fikri Aji
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