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This essay considers ways that recent uses of computers in mathematics challenge contemporary views on the nature of mathematical understanding. It also puts these challenges in a historical perspective and offers speculation as to a…

History and Overview · Mathematics 2023-11-01 Jeremy Avigad

Large Language Models (LLMs), which bridge the gap between human language understanding and complex problem-solving, achieve state-of-the-art performance on several NLP tasks, particularly in few-shot and zero-shot settings. Despite the…

Cryptography and Security · Computer Science 2025-01-07 Shuai Zhao , Meihuizi Jia , Zhongliang Guo , Leilei Gan , Xiaoyu Xu , Xiaobao Wu , Jie Fu , Yichao Feng , Fengjun Pan , Luu Anh Tuan

In this paper, we present Demystify, a general tool for creating human-interpretable step-by-step explanations of how to solve a wide range of pen and paper puzzles from a high-level logical description. Demystify is based on Minimal…

Artificial Intelligence · Computer Science 2023-01-27 Joan Espasa , Ian P. Gent , Ruth Hoffmann , Christopher Jefferson , Alice M. Lynch , András Salamon , Matthew J. McIlree

Abductive reasoning - the search for plausible explanations - has long been central to human inquiry, from forensics to medicine and scientific discovery. Yet formal approaches in AI have largely reduced abduction to eliminative search:…

Artificial Intelligence · Computer Science 2025-12-23 Remo Pareschi

Our project aims at helping and supporting stakeholders in refugee status adjudications, such as lawyers, judges, governing bodies, and claimants, in order to make better decisions through data-driven intelligence and increase the…

Computation and Language · Computer Science 2023-09-22 Claire Barale

We currently witness the spectacular success of artificial intelligence in both science and public life. However, the development of a rigorous mathematical foundation is still at an early stage. In this survey article, which is based on an…

Machine Learning · Computer Science 2022-03-18 Gitta Kutyniok

Several open problems in algebraic logic are solved.

Logic · Mathematics 2013-04-05 Tarek Sayed Ahmed

A sliding puzzle is a combination puzzle where a player slide pieces along certain routes on a board to reach a certain end-configuration. In this paper, we propose a novel measurement of complexity of massive sliding puzzles with…

Computational Complexity · Computer Science 2020-12-16 Ruo Ando , Yoshiyasu Takefuji

Large Language Models (LLMs) have shown remarkable proficiency in language understanding and have been successfully applied to a variety of real-world tasks through task-specific fine-tuning or prompt engineering. Despite these…

Computation and Language · Computer Science 2024-11-08 Yinghao Li , Haorui Wang , Chao Zhang

Logic-based abduction finds important applications in artificial intelligence and related areas. One application example is in finding explanations for observed phenomena. Propositional abduction is a restriction of abduction to the…

Artificial Intelligence · Computer Science 2016-04-29 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

We present results of the prisoner's dilemma game on complex networks that have population change. We introduce a death process with minimum requirements and show that it induces a highly cooperative society. We also study the effects of…

Physics and Society · Physics 2018-11-08 Wonhee Jeong , Unjong Yu

In this paper, I put forward that in many instances, thinking mechanisms are equivalent to artificial intelligence modules programmed into the human mind.

Artificial Intelligence · Computer Science 2013-11-05 Michael Swan Laufer

Across languages, numeral systems vary widely in how they construct and combine numbers. While humans consistently learn to navigate this diversity, large language models (LLMs) struggle with linguistic-mathematical puzzles involving…

Computation and Language · Computer Science 2025-10-16 Antara Raaghavi Bhattacharya , Isabel Papadimitriou , Kathryn Davidson , David Alvarez-Melis

This paper explores the evolving dynamics of cybersecurity in the age of advanced AI, from the perspective of the introduced Human Layer Kill Chain framework. As traditional attack models like Lockheed Martin's Cyber Kill Chain become…

Cryptography and Security · Computer Science 2025-06-02 Vasilis Katos , Emily Rosenorn-Lanng , Jane Henriksen-Bulmer , Ala Yankouskaya

We hypothesize that curiosity is a mechanism found by evolution that encourages meaningful exploration early in an agent's life in order to expose it to experiences that enable it to obtain high rewards over the course of its lifetime. We…

Machine Learning · Computer Science 2020-03-12 Ferran Alet , Martin F. Schneider , Tomas Lozano-Perez , Leslie Pack Kaelbling

Thirty original and collected problems, puzzles, and paradoxes in mathematics and physics are explained in this paper, taught by the author to the elementary and high school teachers at the University of New Mexico - Gallup in 1997-8 and…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

We introduce and summarise results from the recent paper 'Biased random walk on the trace of biased random walk on the trace of ...', which was written jointly with M. P. Holmes (University of Melbourne). We also present additional…

Probability · Mathematics 2020-03-17 David A. Croydon

During natural disasters and conflicts, information about what happened is often confusing, messy, and distributed across many sources. We would like to be able to automatically identify relevant information and assemble it into coherent…

Computation and Language · Computer Science 2018-11-01 Su Wang , Eric Holgate , Greg Durrett , Katrin Erk

Crossword puzzles are popular word games that require not only a large vocabulary, but also a broad knowledge of topics. Answering each clue is a natural language task on its own as many clues contain nuances, puns, or counter-intuitive…

This study introduces "Haunted House" a novel text-based game designed to compare the performance of humans and large language models (LLMs) in model-based reasoning. Players must escape from a house containing nine rooms in a 3x3 grid…

Human-Computer Interaction · Computer Science 2025-03-24 Brett Puppart , Paul-Henry Paltmann , Jaan Aru
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