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We develop a denotational semantics of Linear Logic with least and greatest fixed points in coherence spaces (where both fixed points are interpreted in the same way) and in coherence spaces with totality (where they have different…

Logic in Computer Science · Computer Science 2019-06-14 Thomas Ehrhard , Farzad Jafar-Rahmani

Mathematical problem solving is a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence and a gateway to applications in education, science, and engineering where reliable symbolic reasoning is essential.…

Artificial Intelligence · Computer Science 2026-02-10 Aditya Basarkar , Benyamin Tabarsi , Tiffany Barnes , Dongkuan Xu

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

Reasoning has become a defining capability of modern foundation models, yet its development in the audio modality remains limited. Audio poses challenges that are distinct from those of text and vision. It is continuous, temporally dense,…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-21 Zhihan Guo , Wenqian Cui , Guan-Ting Lin , Daxin Tan , Jingyao Li , Qiyong Zheng , Dingdong Wang , Jing Xiong , Han Shi , Jiaya Jia , Irwin King

Recent advances in reasoning with large language models (LLMs) have demonstrated strong performance on complex mathematical tasks, including combinatorial optimization. Techniques such as Chain-of-Thought and In-Context Learning have…

Artificial Intelligence · Computer Science 2025-09-17 Marylou Fauchard , Florian Carichon , Margarida Carvalho , Golnoosh Farnadi

Epistemic logic programs constitute an extension of the stable models semantics to deal with new constructs called subjective literals. Informally speaking, a subjective literal allows checking whether some regular literal is true in all…

Artificial Intelligence · Computer Science 2021-07-01 Pedro Cabalar , Jorge Fandinno , Luis Fariñas del Cerro

Recent pre-trained language models (PLMs) equipped with foundation reasoning skills have shown remarkable performance on downstream complex tasks. However, the significant structure reasoning skill has been rarely studied, which involves…

Computation and Language · Computer Science 2023-07-18 Siyuan Wang , Zhongyu Wei , Jiarong Xu , Taishan Li , Zhihao Fan

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

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

Large Language Models (LLMs) prompted to generate chain-of-thought (CoT) exhibit impressive reasoning capabilities. Recent attempts at prompt decomposition toward solving complex, multi-step reasoning problems depend on the ability of the…

Computation and Language · Computer Science 2024-02-28 Gurusha Juneja , Subhabrata Dutta , Soumen Chakrabarti , Sunny Manchanda , Tanmoy Chakraborty

Large Language Models (LLMs) are increasingly applied to automate software engineering tasks, including the generation of UML class diagrams from natural language descriptions. While prior work demonstrates that LLMs can produce…

Software Engineering · Computer Science 2026-04-07 Rabia Iftikhar , Andreas Rausch

In this position paper, we propose a reasoning framework that can model the reasoning process underlying natural language inferences. The framework is based on the semantic tableau method, a well-studied proof system in formal logic. Like…

Computation and Language · Computer Science 2025-02-10 Lasha Abzianidze

Input languages of answer set solvers are based on the mathematically simple concept of a stable model. But many useful constructs available in these languages, including local variables, conditional literals, and aggregates, cannot be…

Artificial Intelligence · Computer Science 2013-12-24 Amelia Harrison , Vladimir Lifschitz , Fangkai Yang

This paper describes a simpler way for programmers to reason about the correctness of their code. The study of semantics of logic programs has shown strong links between the model theoretic semantics (truth and falsity of atoms in the…

Logic in Computer Science · Computer Science 2014-11-17 Lee Naish

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Recent advances in Multi-Modal Large Language Models (MLLMs) have enabled unified processing of language, vision, and structured inputs, opening the door to complex tasks such as logical deduction, spatial reasoning, and scientific…

Artificial Intelligence · Computer Science 2025-07-03 Guiyao Tie , Xueyang Zhou , Tianhe Gu , Ruihang Zhang , Chaoran Hu , Sizhe Zhang , Mengqu Sun , Yan Zhang , Pan Zhou , Lichao Sun

In recent research on non-monotonic logic programming, repeatedly strong equivalence of logic programs P and Q has been considered, which holds if the programs P union R and Q union R have the same answer sets for any other program R. This…

Artificial Intelligence · Computer Science 2007-05-23 Thomas Eiter , Michael Fink , Stefan Woltran

Answer Set Programming (ASP) is a logic-based knowledge representation framework, supporting---among other reasoning modes---the central task of query answering. In the propositional case, query answering amounts to computing cautious…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Matti Järvisalo , Marco Maratea , Alessandro Previti

Large language models (LLMs) are a promising venue for natural language understanding and generation. However, current LLMs are far from reliable: they are prone to generating non-factual information and, more crucially, to contradicting…

Computation and Language · Computer Science 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

We propose integration of reasoning into speech large language models (speechLLMs) for the end-to-end slot-filling task. Inspired by the recent development of reasoning LLMs, we use a chain-of-thought framework to decompose the slot-filling…

Computation and Language · Computer Science 2026-02-04 Kadri Hacioglu , Manjunath K E , Andreas Stolcke