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Dense retrievers enhance retrieval by encoding queries and documents into continuous vectors, but they often struggle with reasoning-intensive queries. Although Large Language Models (LLMs) can reformulate queries to capture complex…

Information Retrieval · Computer Science 2025-10-29 Yichi Zhang , Jun Bai , Zhixin Cai , Shuhan Qin , Zhuofan Chen , Jinghua Guan , Wenge Rong

Equational reasoning with string diagrams provides an intuitive means of proving equations between morphisms in a symmetric monoidal category. This can be extended to proofs of infinite families of equations using a simple graphical syntax…

Category Theory · Mathematics 2015-05-05 Aleks Kissinger , David Quick

Large Language Models (LLMs) have exhibited impressive generation capabilities, but they suffer from hallucinations when solely relying on their internal knowledge, especially when answering questions that require less commonly known…

Computation and Language · Computer Science 2023-11-01 Wenting Zhao , Ye Liu , Tong Niu , Yao Wan , Philip S. Yu , Shafiq Joty , Yingbo Zhou , Semih Yavuz

Many vision and language tasks require commonsense reasoning beyond data-driven image and natural language processing. Here we adopt Visual Question Answering (VQA) as an example task, where a system is expected to answer a question in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Somak Aditya , Yezhou Yang , Chitta Baral

An important aspect of artificial intelligence (AI) is the ability to reason in a step-by-step "algorithmic" manner that can be inspected and verified for its correctness. This is especially important in the domain of question answering…

Artificial Intelligence · Computer Science 2021-11-08 Kwabena Nuamah

Recent advancements in transformer-based models have initiated research interests in investigating their ability to learn to perform reasoning tasks. However, most of the contexts used for this purpose are in practice very simple: generated…

Computation and Language · Computer Science 2024-04-29 Angelos Poulis , Eleni Tsalapati , Manolis Koubarakis

Recently, the description logic LE-ALC was introduced for reasoning in the semantic environment of the enriched formal contexts, and a tableaux algorithm was developed for checking the consistency of ABoxes in this logic. In this paper, we…

Logic in Computer Science · Computer Science 2025-06-09 Krishna Manoorkar , Ruoding Wang

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

The recently introduced series of description logics under the common moniker DL-Lite has attracted attention of the description logic and semantic web communities due to the low computational complexity of inference, on the one hand, and…

Logic in Computer Science · Computer Science 2014-01-16 Alessandro Artale , Diego Calvanese , Roman Kontchakov , Michael Zakharyaschev

Existing tasks fall short in evaluating reasoning ability of Large Language Models (LLMs) in an interactive, unknown environment. This deficiency leads to the isolated assessment of deductive, inductive, and abductive reasoning, neglecting…

Artificial Intelligence · Computer Science 2026-05-07 Congchi Yin , Tianyi Wu , Yankai Shu , Alex Gu , Yunhan Wang , Jun Shao , Xun Jiang , Piji Li

We study the problem of finite ontology mediated query answering (FOMQA), the variant of OMQA where the represented world is assumed to be finite, and thus only finite models of the ontology are considered. We adopt the most typical setting…

Artificial Intelligence · Computer Science 2018-08-10 Tomasz Gogacz , Yazmin Ibáñez-García , Filip Murlak

Large Language Models (LLMs), despite their success in question answering, exhibit limitations in complex multi-hop question answering (MQA) tasks that necessitate non-linear, structured reasoning. This limitation stems from their inability…

Computation and Language · Computer Science 2025-09-25 Haonan Bian , Yutao Qi , Rui Yang , Yuanxi Che , Jiaqian Wang , Heming Xia , Ranran Zhen

Hierarchical text classification (HTC) assigns documents to multiple levels of a pre-defined taxonomy. Automated patent subject classification represents one of the hardest HTC scenarios because of domain knowledge difficulty and a huge…

Computation and Language · Computer Science 2025-10-09 Lekang Jiang , Wenjun Sun , Stephan Goetz

Recent advancements in Chain-of-Thought prompting have facilitated significant breakthroughs for Large Language Models (LLMs) in complex reasoning tasks. Current research enhances the reasoning performance of LLMs by sampling multiple…

Computation and Language · Computer Science 2024-05-22 Zhangyue Yin , Qiushi Sun , Qipeng Guo , Zhiyuan Zeng , Xiaonan Li , Tianxiang Sun , Cheng Chang , Qinyuan Cheng , Ding Wang , Xiaofeng Mou , Xipeng Qiu , XuanJing Huang

Reasoning in the Semantic Web (SW) commonly uses Description Logics (DL) via OWL2 DL ontologies, or SWRL for variables and Horn clauses. The Rule Interchange Format (RIF) offers more expressive rules but is defined outside RDF and rarely…

Databases · Computer Science 2025-08-19 Dörthe Arndt , William Van Woensel , Dominik Tomaszuk

Ontology-based query answering (OBQA) augments classical query answering in databases by domain knowledge encoded in an ontology. Systems for OBQA use the ontological knowledge to infer new information that is not explicitly given in the…

Logic in Computer Science · Computer Science 2020-03-24 Stefan Borgwardt , Veronika Thost

Most modern formalisms used in Databases and Artificial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the…

Artificial Intelligence · Computer Science 2009-09-25 G. DeGiacomo , M. Lenzerini

When answering a question, humans utilize the information available across different modalities to synthesize a consistent and complete chain of thought (CoT). This process is normally a black box in the case of deep learning models like…

Computation and Language · Computer Science 2022-10-18 Pan Lu , Swaroop Mishra , Tony Xia , Liang Qiu , Kai-Wei Chang , Song-Chun Zhu , Oyvind Tafjord , Peter Clark , Ashwin Kalyan

Ontology-mediated query answering (OMQA) is a promising approach to data access and integration that has been actively studied in the knowledge representation and database communities for more than a decade. The vast majority of work on…

Logic in Computer Science · Computer Science 2020-09-22 Meghyn Bienvenu , Quentin Manière , Michaël Thomazo

The KLM approach to defeasible reasoning introduces a weakened form of implication into classical logic. This allows one to incorporate exceptions to general rules into a logical system, and for old conclusions to be withdrawn upon learning…

Artificial Intelligence · Computer Science 2024-10-08 Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph