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A graph is a fundamental data model to represent various entities and their complex relationships in society and nature, such as social networks, transportation networks, and financial networks. Recently, large language models (LLMs) have…

Computation and Language · Computer Science 2025-07-08 Wenbo Shang , Xin Huang

We investigate the usage of rule dependency graphs and their colorings for characterizing and computing answer sets of logic programs. This approach provides us with insights into the interplay between rules when inducing answer sets. We…

Artificial Intelligence · Computer Science 2007-05-23 Kathrin Konczak , Thomas Linke , Torsten Schaub

In document classification, graph-based models effectively capture document structure, overcoming sequence length limitations and enhancing contextual understanding. However, most existing graph document representations rely on heuristics,…

Computation and Language · Computer Science 2025-08-05 Margarita Bugueño , Gerard de Melo

Large language models (LLMs) have demonstrated remarkable success across a wide range of tasks; however, they still encounter challenges in reasoning tasks that require understanding and inferring relationships between distinct pieces of…

Computation and Language · Computer Science 2025-01-15 Haoyu Han , Yaochen Xie , Hui Liu , Xianfeng Tang , Sreyashi Nag , William Headden , Hui Liu , Yang Li , Chen Luo , Shuiwang Ji , Qi He , Jiliang Tang

{\em Algorithms with predictions} incorporate machine learning predictions into algorithm design. A plethora of recent works incorporated predictions to improve on worst-case optimal bounds for online problems. In this paper, we initiate…

Data Structures and Algorithms · Computer Science 2023-09-12 Monika Henzinger , Barna Saha , Martin P. Seybold , Christopher Ye

We present a first-order linear-time temporal logic for reasoning about the evolution of directed graphs. Its semantics is based on the counterpart paradigm, thus allowing our logic to represent the creation, duplication, merging, and…

Logic in Computer Science · Computer Science 2023-05-09 Fabio Gadducci , Andrea Laretto , Davide Trotta

In Knowledge Graphs (KGs), where the schema of the data is usually defined by particular ontologies, reasoning is a necessity to perform a range of tasks, such as retrieval of information, question answering, and the derivation of new…

Artificial Intelligence · Computer Science 2025-02-27 Anastasios Nentidis , Charilaos Akasiadis , Angelos Charalambidis , Alexander Artikis

Dynamically changing graphs are used in many applications of graph algorithms. The scope of these graphs are in graphics, communication networks and in VLSI designs where graphs are subjected to change, such as addition and deletion of…

Data Structures and Algorithms · Computer Science 2012-10-01 Megha Tyagi , Deepak Garg

Modern large language model-based reasoning systems frequently recompute similar reasoning steps across tasks, wasting computational resources, inflating inference latency, and limiting reproducibility. These inefficiencies underscore the…

Artificial Intelligence · Computer Science 2025-11-21 Yash Raj Singh

We study the task of conducting structured reasoning as generating a reasoning graph from natural language input using large language models (LLMs). Previous approaches have explored various prompting schemes, yet they suffer from error…

Computation and Language · Computer Science 2024-06-04 Inderjeet Nair , Lu Wang

Description logics are knowledge representation languages that have been designed to strike a balance between expressivity and computational tractability. Many different description logics have been developed, and numerous computational…

Logic in Computer Science · Computer Science 2018-08-14 Ronald de Haan

Large language model (LLM)-based systems are becoming increasingly popular for solving tasks by constructing executable workflows that interleave LLM calls, information retrieval, tool use, code execution, memory updates, and verification.…

Artificial Intelligence · Computer Science 2026-03-25 Ling Yue , Kushal Raj Bhandari , Ching-Yun Ko , Dhaval Patel , Shuxin Lin , Nianjun Zhou , Jianxi Gao , Pin-Yu Chen , Shaowu Pan

Graph learning plays a pivotal role and has gained significant attention in various application scenarios, from social network analysis to recommendation systems, for its effectiveness in modeling complex data relations represented by graph…

Machine Learning · Computer Science 2024-03-08 Man Wu , Xin Zheng , Qin Zhang , Xiao Shen , Xiong Luo , Xingquan Zhu , Shirui Pan

Graph simulation (using graph schemata or data guides) has been successfully proposed as a technique for adding structure to semistructured data. Design patterns for description (such as meta-classes and homomorphisms between schema…

Databases · Computer Science 2007-05-23 Christoph Koch

We consider the problems of deciding whether an input graph can be modified by removing/adding at most k vertices/edges such that the result of the modification satisfies some property definable in first-order logic. We establish a number…

Data Structures and Algorithms · Computer Science 2019-02-27 Fedor V. Fomin , Petr A. Golovach , Dimitrios M. Thilikos

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Graph data is ubiquitous in the physical world, and it has always been a challenge to efficiently model graph structures using a unified paradigm for the understanding and reasoning on various graphs. Moreover, in the era of large language…

Artificial Intelligence · Computer Science 2023-12-19 Qihang Ai , Jianwu Zhou , Haiyun Jiang , Lemao Liu , Shuming Shi

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

Machine Learning · Computer Science 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies