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Within the formal setting of the Lockean thesis, an agent belief set is defined in terms of degrees of confidence and these are described in probabilistic terms. This approach is of established interest, notwithstanding some limitations…

Artificial Intelligence · Computer Science 2025-07-09 Tommaso Flaminio , Lluis Godo , Ramón Pino Pérez , Lluis Subirana

Any act of problem-solving combines prior knowledge, local search, and a third element that is less often discussed: the extraction of information from search to update understanding. I propose a model of mathematical problem-solving as a…

History and Overview · Mathematics 2026-03-11 Asvin G

Belief integration methods are often aimed at deriving a single and consistent knowledge base that retains as much as possible of the knowledge bases to integrate. The rationale behind this approach is the minimal change principle: the…

Artificial Intelligence · Computer Science 2007-05-23 Paolo Liberatore

There are several contexts of non-monotonic reasoning where a priority between rules is established whose purpose is preventing conflicts. One formalism that has been widely employed for non-monotonic reasoning is the sceptical one known as…

Artificial Intelligence · Computer Science 2012-11-26 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Matteo Cristani

Belief revision has been studied mainly with respect to background logics that are monotonic in character. In this paper we study belief revision when the underlying logic is non-monotonic instead--an inherently interesting problem that is…

Artificial Intelligence · Computer Science 2016-04-05 Zhiqiang Zhuang , James Delgrande , Abhaya Nayak , Abdul Sattar

Belief change is a fundamental problem in AI: Agents constantly have to update their beliefs to accommodate new observations. In recent years, there has been much work on axiomatic characterizations of belief change. We claim that a better…

Artificial Intelligence · Computer Science 2007-05-23 Nir Friedman , Joseph Y. Halpern

Reproducibility is a confused terminology. In this paper, I take a fundamental view on reproducibility rooted in the scientific method. The scientific method is analysed and characterised in order to develop the terminology required to…

Machine Learning · Computer Science 2022-01-19 Odd Erik Gundersen

Writing is, by nature, a strategic, adaptive, and more importantly, an iterative process. A crucial part of writing is editing and revising the text. Previous works on text revision have focused on defining edit intention taxonomies within…

Computation and Language · Computer Science 2022-09-27 Wanyu Du , Vipul Raheja , Dhruv Kumar , Zae Myung Kim , Melissa Lopez , Dongyeop Kang

The intelligent reformulation or restructuring of a belief network can greatly increase the efficiency of inference. However, time expended for reformulation is not available for performing inference. Thus, under time pressure, there is a…

Artificial Intelligence · Computer Science 2013-04-05 John S. Breese , Eric J. Horvitz

Belief merging is an important but difficult problem in Artificial Intelligence, especially when sources of information are pervaded with uncertainty. Many merging operators have been proposed to deal with this problem in possibilistic…

Artificial Intelligence · Computer Science 2012-03-19 Guilin Qi , Jianfeng Du , Weiru Liu , David A. Bell

Many automatic theorem-provers rely on rewriting. Using theorems as rewrite rules helps to simplify the subgoals that arise during a proof. LCF is an interactive theorem-prover intended for reasoning about computation. Its implementation of…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson

The human mind is capable of extraordinary achievements, yet it often appears to work against itself. It actively defends its cherished beliefs even in the face of contradictory evidence, conveniently interprets information to conform to…

Artificial Intelligence · Computer Science 2025-09-23 David Hyland , Mahault Albarracin

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We propose a wide class of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

With the development of large language models, their ability to follow simple instructions has significantly improved. However, adhering to complex instructions remains a major challenge. Current approaches to generating complex…

Computation and Language · Computer Science 2025-02-28 Wei Liu , Yancheng He , Hui Huang , Chengwei Hu , Jiaheng Liu , Shilong Li , Wenbo Su , Bo Zheng

We introduce a novel language for reasoning about agents' cognitive attitudes of both epistemic and motivational type. We interpret it by means of a computationally grounded semantics using belief bases. Our language includes five types of…

Logic in Computer Science · Computer Science 2024-12-19 Tiago de Lima , Emiliano Lorini , Elise Perrotin , François Schwarzentruber

Can we improve machine translation (MT) with LLMs by rewriting their inputs automatically? Users commonly rely on the intuition that well-written text is easier to translate when using off-the-shelf MT systems. LLMs can rewrite text in many…

Computation and Language · Computer Science 2025-09-03 Dayeon Ki , Marine Carpuat

Language models (LMs) can perform complex reasoning either end-to-end, with hidden latent state, or compositionally, with transparent intermediate state. Composition offers benefits for interpretability and safety, but may need workflow…

Computation and Language · Computer Science 2023-01-06 Justin Reppert , Ben Rachbach , Charlie George , Luke Stebbing , Jungwon Byun , Maggie Appleton , Andreas Stuhlmüller

We present an approach for recursively splitting and rephrasing complex English sentences into a novel semantic hierarchy of simplified sentences, with each of them presenting a more regular structure that may facilitate a wide variety of…

Computation and Language · Computer Science 2019-06-05 Christina Niklaus , Matthias Cetto , Andre Freitas , Siegfried Handschuh

Long-term data-driven studies have become indispensable in many areas of science. Often, the data formats, structures and semantics of data change over time, the data sets evolve. Therefore, studies over several decades in particular have…

Databases · Computer Science 2022-11-28 Tanja Auge , Andreas Heuer

When a network is reconstructed from data, two types of errors can occur: false positive and false negative errors about the presence or absence of links. In this paper, the vertex degree distribution of the true underlying network is…

Data Analysis, Statistics and Probability · Physics 2020-04-30 Gloria Cecchini , Bjoern Schelter
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