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200 papers

Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking…

Logic · Mathematics 2015-06-11 Maokang Luo , Wei He

In recent years, Large Language Models (LLMs) have become fundamental to a broad spectrum of artificial intelligence applications. As the use of LLMs expands, precisely estimating the uncertainty in their predictions has become crucial.…

Artificial Intelligence · Computer Science 2024-10-29 Mohammad Beigi , Sijia Wang , Ying Shen , Zihao Lin , Adithya Kulkarni , Jianfeng He , Feng Chen , Ming Jin , Jin-Hee Cho , Dawei Zhou , Chang-Tien Lu , Lifu Huang

Logic reasoning in natural language has been recognized as an important measure of human intelligence for Large Language Models (LLMs). Popular benchmarks may entangle multiple reasoning skills and thus provide unfaithful evaluations on the…

Computation and Language · Computer Science 2025-09-29 Tsz Ting Chung , Lemao Liu , Mo Yu , Dit-Yan Yeung

Modeling plausible student misconceptions is critical for AI in education. In this work, we examine how large language models (LLMs) reason about misconceptions when generating multiple-choice distractors, a task that requires modeling…

Computation and Language · Computer Science 2026-03-17 Yanick Zengaffinen , Andreas Opedal , Donya Rooein , Kv Aditya Srivatsa , Shashank Sonkar , Mrinmaya Sachan

Although Large Language Models (LLMs) have demonstrated impressive formal reasoning abilities, they often break down when problems require complex proof planning. One promising approach for improving LLM reasoning abilities involves…

Artificial Intelligence · Computer Science 2026-01-27 Joseph Cotnareanu , Didier Chetelat , Yingxue Zhang , Mark Coates

This paper focuses on designing expert systems to support decision making in complex, uncertain environments. In this context, our research indicates that strictly probabilistic representations, which enable the use of decision-theoretic…

Artificial Intelligence · Computer Science 2013-04-15 Samuel Holtzman , John S. Breese

While the recently introduced Tree of Thoughts (ToT) has heralded advancements in allowing Large Language Models (LLMs) to reason through foresight and backtracking for global decision-making, it has overlooked the inherent local…

Computation and Language · Computer Science 2023-09-15 Shentong Mo , Miao Xin

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

The integration of reasoning and computation services across system and language boundaries is a challenging problem of computer science. In this paper, we use integration for the scenario where we have two systems that we integrate by…

Logic in Computer Science · Computer Science 2011-09-20 Florian Rabe , Michael Kohlhase , Claudio Sacerdoti Coen

Large Language Models (LLMs) have redefined complex task automation with exceptional generalization capabilities. Despite these advancements, state-of-the-art methods rely on single-strategy prompting, missing the synergy of diverse…

Artificial Intelligence · Computer Science 2026-02-13 Nikhil Verma , Manasa Bharadwaj , Wonjun Jang , Harmanpreet Singh , Yixiao Wang , Homa Fashandi , Chul Lee

The concept of movable evidence masses that flow from supersets to subsets as specified by experts represents a suitable framework for reasoning under uncertainty. The mass flow is controlled by specialization matrices. New evidence is…

Artificial Intelligence · Computer Science 2013-03-26 Rudolf Kruse , Detlef Nauck , Frank Klawonn

Diffusion large language models (dLLMs) have emerged as a new architecture following auto regressive models. Their denoising process offers a powerful generative advantage, but they present significant challenges in learning and…

Machine Learning · Computer Science 2025-09-24 Ranfei Chen , Ming Chen

Pre-trained large language models (LMs) struggle to perform logical reasoning reliably despite advances in scale and compositionality. In this work, we tackle this challenge through the lens of symbolic programming. We propose DSR-LM, a…

Artificial Intelligence · Computer Science 2023-05-09 Hanlin Zhang , Jiani Huang , Ziyang Li , Mayur Naik , Eric Xing

The intricate hierarchical structure of syntax is fundamental to the intricate and systematic nature of human language. This study investigates the premise that language models, specifically their attention distributions, can encapsulate…

Computation and Language · Computer Science 2023-12-27 Buvarp Gohsh , Woods Ali , Anders Michael

The ability to reason under uncertainty and with incomplete information is a fundamental requirement of decision support technology. In this paper we argue that the concentration on theoretical techniques for the evaluation and selection of…

Artificial Intelligence · Computer Science 2013-03-26 John Fox , Paul J. Krause

Distractor generation (DG) remains a labor-intensive task that still significantly depends on domain experts. The task focuses on generating plausible yet incorrect options, known as distractors, for multiple-choice questions. A reliable…

Computation and Language · Computer Science 2026-04-21 Elaf Alhazmi , Quan Z. Sheng , Wei Emma Zhang

Large language models (LLMs) have proven to be highly effective for solving complex reasoning tasks. Surprisingly, their capabilities can often be improved by iterating on previously generated solutions. In this context, a reasoning plan…

Artificial Intelligence · Computer Science 2025-12-05 MohammadHossein Bateni , Vincent Cohen-Addad , Yuzhou Gu , Silvio Lattanzi , Simon Meierhans , Christopher Mohri

Tree of Thoughts (ToT) enhances Large Language Model (LLM) reasoning by structuring problem-solving as a spanning tree. However, recent methods focus on search accuracy while overlooking computational efficiency. The challenges of…

Artificial Intelligence · Computer Science 2025-02-28 Yifu Ding , Wentao Jiang , Shunyu Liu , Yongcheng Jing , Jinyang Guo , Yingjie Wang , Jing Zhang , Zengmao Wang , Ziwei Liu , Bo Du , Xianglong Liu , Dacheng Tao

We develop a mathematical and interpretative foundation for the enterprise of decision-theoretic statistical causality (DT), which is a straightforward way of representing and addressing causal questions. DT reframes causal inference as…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid

Chain-of-Thought (CoT) reasoning has emerged as a powerful tool for enhancing the problem-solving capabilities of large language models (LLMs). However, the theoretical foundations of learning from CoT data remain underdeveloped, and…

Artificial Intelligence · Computer Science 2025-07-29 Shai Shalev-Shwartz , Amnon Shashua
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