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This study focuses on improving the performance of lightweight Large Language Models (LLMs) in mathematical reasoning tasks. We introduce a novel method for measuring mathematical logic similarity and design an automatic screening mechanism…

计算与语言 · 计算机科学 2024-09-04 Ding Kai , Ma Zhenguo , Yan Xiaoran

Large language models (LLMs) have greatly improved their capability in performing NLP tasks. However, deeper semantic understanding, contextual coherence, and more subtle reasoning are still difficult to obtain. The paper discusses…

计算与语言 · 计算机科学 2025-12-05 Mohanakrishnan Hariharan

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

机器学习 · 计算机科学 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

Human languages employ constructions that tacitly assume specific properties of the limited range of phenomena they evolved to describe. These assumed properties are true features of that limited context, but may not be general or precise…

量子物理 · 物理学 2008-11-26 James B. Hartle

Automatically generating high-quality step-by-step solutions to math word problems has many applications in education. Recently, combining large language models (LLMs) with external tools to perform complex reasoning and calculation has…

计算与语言 · 计算机科学 2023-04-19 Joy He-Yueya , Gabriel Poesia , Rose E. Wang , Noah D. Goodman

With the advent of Large Language Models (LLMs), generating rule-based data for real-world applications has become more accessible. Due to the inherent ambiguity of natural language and the complexity of rule sets, especially in long…

计算与语言 · 计算机科学 2025-04-21 Teng Wang , Zhenqi He , Wing-Yin Yu , Xiaojin Fu , Xiongwei Han

In probabilistic logic entailments, even moderate size problems can yield linear constraint systems with so many variables that exact methods are impractical. This difficulty can be remedied in many cases of interest by introducing a three…

人工智能 · 计算机科学 2013-03-26 Paul Snow

Distributional semantics is the linguistic theory that a word's meaning can be derived from its distribution in natural language (i.e., its use). Language models are commonly viewed as an implementation of distributional semantics, as they…

计算与语言 · 计算机科学 2024-10-21 Zhang Enyan , Zewei Wang , Michael A. Lepori , Ellie Pavlick , Helena Aparicio

Logical formalisms provide a natural and concise means for specifying and reasoning about preferences. In this paper, we propose lexicographic logic, an extension of classical propositional logic that can express a variety of preferences,…

人工智能 · 计算机科学 2020-12-22 Angelos Charalambidis , Giorgos Papadimitriou , Panos Rondogiannis , Antonis Troumpoukis

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

The main goal of this master's thesis is to introduce Quantum Natural Language Processing (QNLP) in a way understandable by both the NLP engineer and the quantum computing practitioner. QNLP is a recent application of quantum computing that…

计算与语言 · 计算机科学 2022-02-25 Shervin Le Du , Senaida Hernández Santana , Giannicola Scarpa

Quantum Natural Language Processing (QNLP) deals with the design and implementation of NLP models intended to be run on quantum hardware. In this paper, we present results on the first NLP experiments conducted on Noisy Intermediate-Scale…

计算与语言 · 计算机科学 2023-05-05 Robin Lorenz , Anna Pearson , Konstantinos Meichanetzidis , Dimitri Kartsaklis , Bob Coecke

There have been a huge number of benchmarks proposed to evaluate how large language models (LLMs) behave for logic inference tasks. However, it remains an open question how to properly evaluate this ability. In this paper, we provide a…

计算与语言 · 计算机科学 2024-12-13 Shi Zong , Jimmy Lin

This paper shows how to apply memoization (caching of subgoals and associated answer substitutions) in a constraint logic programming setting. The research is is motivated by the desire to apply constraint logic programming (CLP) to…

cmp-lg · 计算机科学 2008-02-03 Mark Johnson

In recent developments, deep learning methodologies applied to Natural Language Processing (NLP) have revealed a paradox: They improve performance but demand considerable data and resources for their training. Alternatively, quantum…

计算与语言 · 计算机科学 2025-10-23 Farha Nausheen , Khandakar Ahmed , M Imad Khan , Farina Riaz

On the one hand, classical terminological knowledge representation excludes the possibility of handling uncertain concept descriptions involving, e.g., "usually true" concept properties, generalized quantifiers, or exceptions. On the other…

人工智能 · 计算机科学 2013-02-28 Jochen Heinsohn

Recent Large Language Models (LLMs) have significantly advanced natural language processing and automated decision-making. However, these models still encounter difficulties when performing complex reasoning tasks involving logical…

计算与语言 · 计算机科学 2025-06-26 Yubo Dong , Hehe Fan

The paper describes a parser for Categorial Grammar which provides fully word by word incremental interpretation. The parser does not require fragments of sentences to form constituents, and thereby avoids problems of spurious ambiguity.…

cmp-lg · 计算机科学 2016-08-31 David Milward

We study the framework of abductive logic programming extended with integrity constraints. For this framework, we introduce a new measure of the simplicity of an explanation based on its degree of \emph{arbitrariness}: the more arbitrary…

计算机科学中的逻辑 · 计算机科学 2020-02-19 Luciano Caroprese , Irina Trubitsyna , Miroslaw Truszczynski , Ester Zumpano