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Logical frameworks and meta-languages form a common substrate for representing, implementing and reasoning about a wide variety of deductive systems of interest in logic and computer science. Their design, implementation and their use in…

Logic in Computer Science · Computer Science 2021-07-16 Elaine Pimentel , Enrico Tassi

While pre-trained language models achieve impressive performance on various NLP benchmarks, they still struggle with tasks that require numerical reasoning. Recent advances in improving numerical reasoning are mostly achieved using very…

Computation and Language · Computer Science 2023-05-30 Jasivan Alex Sivakumar , Nafise Sadat Moosavi

Recent breakthroughs in large language models (LLMs), particularly in reasoning capabilities, have propelled Retrieval-Augmented Generation (RAG) to unprecedented levels. By synergizing retrieval mechanisms with advanced reasoning, LLMs can…

Information Retrieval · Computer Science 2025-04-25 Yunfan Gao , Yun Xiong , Yijie Zhong , Yuxi Bi , Ming Xue , Haofen Wang

The paper studies sequential reasoning over graph-structured data, which stands as a fundamental task in various trending fields like automated math problem solving and neural graph algorithm learning, attracting a lot of research interest.…

Artificial Intelligence · Computer Science 2024-12-13 Shuo Shi , Chao Peng , Chenyang Xu , Zhengfeng Yang

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

Artificial Intelligence · Computer Science 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

Large language models (LLMs) are increasingly deployed in settings where reasoning, such as multi-step problem solving and chain-of-thought, is essential. Yet, current evaluation practices overwhelmingly report single-run accuracy while…

Artificial Intelligence · Computer Science 2025-12-09 Nearchos Potamitis , Lars Klein , Akhil Arora

Logical rules are a popular knowledge representation language in many domains, representing background knowledge and encoding information that can be derived from given facts in a compact form. However, rule formulation is a complex process…

Artificial Intelligence · Computer Science 2020-02-13 Cristina Cornelio , Veronika Thost

Large Language Models (LLMs) are increasingly used for boosting organizational efficiency and automating tasks. While not originally designed for complex cognitive processes, recent efforts have further extended to employ LLMs in activities…

Artificial Intelligence · Computer Science 2024-08-13 Fabiana Fournier , Lior Limonad , Inna Skarbovsky

Large Language Models (LLMs) have transformed how people interact with artificial intelligence (AI) systems, achieving state-of-the-art results in various tasks, including scientific discovery and hypothesis generation. However, the lack of…

Computation and Language · Computer Science 2024-11-06 Sikun Guo , Amir Hassan Shariatmadari , Guangzhi Xiong , Albert Huang , Eric Xie , Stefan Bekiranov , Aidong Zhang

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

Datalog+/- is a Datalog-based language family enhanced with existential quantification in rule heads, equalities and negative constraints. Query answering over databases with respect to a Datalog+/- theory is generally undecidable, however…

Databases · Computer Science 2014-05-21 Michael Morak

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

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

Evaluating competing systems in a comparable way, i.e., benchmarking them, is an undeniable pillar of the scientific method. However, system performance is often summarized via a small number of metrics. The analysis of the evaluation…

Machine Learning · Computer Science 2025-10-24 Quannian Zhang , Michael Röder , Nikit Srivastava , N'Dah Jean Kouagou , Axel-Cyrille Ngonga Ngomo

Large Language Models (LLMs) have revolutionized natural language processing, yet they struggle with inconsistent reasoning, particularly in novel domains and complex logical sequences. This research introduces Proof of Thought, a framework…

Artificial Intelligence · Computer Science 2024-10-24 Debargha Ganguly , Srinivasan Iyengar , Vipin Chaudhary , Shivkumar Kalyanaraman

In recent years, the input context sizes of large language models (LLMs) have increased dramatically. However, existing evaluation methods have not kept pace, failing to comprehensively assess the efficiency of models in handling long…

Computation and Language · Computer Science 2024-11-07 Yuri Kuratov , Aydar Bulatov , Petr Anokhin , Ivan Rodkin , Dmitry Sorokin , Artyom Sorokin , Mikhail Burtsev

The profusion of knowledge encoded in large language models (LLMs) and their ability to apply this knowledge zero-shot in a range of settings makes them promising candidates for use in decision-making. However, they are currently limited by…

Computation and Language · Computer Science 2026-05-08 Gabriel Freedman , Adam Dejl , Deniz Gorur , Xiang Yin , Antonio Rago , Francesca Toni

We introduce kLog, a novel approach to statistical relational learning. Unlike standard approaches, kLog does not represent a probability distribution directly. It is rather a language to perform kernel-based learning on expressive logical…

Artificial Intelligence · Computer Science 2014-10-17 Paolo Frasconi , Fabrizio Costa , Luc De Raedt , Kurt De Grave

In AI and law, systems that are designed for decision support should be explainable when pursuing justice. In order for these systems to be fair and responsible, they should make correct decisions and make them using a sound and transparent…

Artificial Intelligence · Computer Science 2021-05-17 Cor Steging , Silja Renooij , Bart Verheij

This paper presents the DLV system, which is widely considered the state-of-the-art implementation of disjunctive logic programming, and addresses several aspects. As for problem solving, we provide a formal definition of its kernel…

Artificial Intelligence · Computer Science 2008-02-21 Nicola Leone , Gerald Pfeifer , Wolfgang Faber , Thomas Eiter , Georg Gottlob , Simona Perri , Francesco Scarcello
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