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The foundations of formal models for epistemic and doxastic logics often rely on certain logical aspects of modal logics such as S4 and S4.2 and their semantics; however, the corresponding mathematical results are often stated in papers or…

Logic in Computer Science · Computer Science 2024-04-24 Laura P. Gamboa Guzman , Kristin Y. Rozier

Dynamic epistemic logics consider formal representations of agents' knowledge, and how the knowledge of agents changes in response to informative events, such as public announcements. Quantifying over informative events allows us to ask…

Logic in Computer Science · Computer Science 2025-01-31 Hans van Ditmarsch , Tim French , Rustam Galimullin

An inductive logic can be formulated in which the elements are not propositions or probability distributions, but information systems. The logic is complete for information systems with binary hypotheses, i.e., it applies to all such…

Artificial Intelligence · Computer Science 2013-04-11 Norman C. Dalkey

A fundamental question asked in modal logic is whether a given theory is consistent. But consistent with what? A typical way to address this question identifies a choice of background knowledge axioms (say, S4, D, etc.) and then shows the…

Logic · Mathematics 2023-07-12 Samuel Allen Alexander , Arthur Paul Pedersen

Epistemic logics of intensional groups lift the assumption that membership in a group of agents is common knowledge. Instead of being represented directly as a set of agents, intensional groups are represented by a property that may change…

Logic in Computer Science · Computer Science 2023-07-12 Marta Bílková , Igor Sedlár

Relational data in its most basic form is a static collection of known facts. However, by learning to infer and deduct additional information and structure, we can massively increase the usefulness of the underlying data. One common form of…

Machine Learning · Computer Science 2019-07-30 Xavier Holt

Recent work in entity disambiguation (ED) has typically neglected structured knowledge base (KB) facts, and instead relied on a limited subset of KB information, such as entity descriptions or types. This limits the range of contexts in…

Computation and Language · Computer Science 2022-07-12 Tom Ayoola , Joseph Fisher , Andrea Pierleoni

This paper addresses the problem of merging uncertain information in the framework of possibilistic logic. It presents several syntactic combination rules to merge possibilistic knowledge bases, provided by different sources, into a new…

Artificial Intelligence · Computer Science 2013-02-01 Salem Benferhat , Claudio Sossai

The ability to derive underlying principles from a handful of observations and then generalize to novel situations -- known as inductive reasoning -- is central to human intelligence. Prior work suggests that language models (LMs) often…

Computation and Language · Computer Science 2024-05-24 Linlu Qiu , Liwei Jiang , Ximing Lu , Melanie Sclar , Valentina Pyatkin , Chandra Bhagavatula , Bailin Wang , Yoon Kim , Yejin Choi , Nouha Dziri , Xiang Ren

First-Order Logic (FOL) is widely regarded as one of the most important foundations for knowledge representation. Nevertheless, in this paper, we argue that FOL has several critical issues for this purpose. Instead, we propose an…

Artificial Intelligence · Computer Science 2017-05-01 Yi Zhou

Bayesian Networks (BNs) are an important tool for assisting probabilistic reasoning, but despite being considered transparent models, people have trouble understanding them. Further, current User Interfaces (UIs) still do not clarify the…

Artificial Intelligence · Computer Science 2025-11-24 Erik P. Nyberg , Steven Mascaro , Ingrid Zukerman , Michael Wybrow , Duc-Minh Vo , Ann Nicholson

The AGM theory of belief revision has become an important paradigm for investigating rational belief changes. Unfortunately, researchers working in this paradigm have restricted much of their attention to rather simple representations of…

Artificial Intelligence · Computer Science 2013-01-30 Frans Voorbraak

The relationship between two entities in a sentence is often implied by word order and common sense, rather than an explicit predicate. For example, it is evident that "Fed chair Powell indicates rate hike" implies (Powell, is a, Fed chair)…

Information Retrieval · Computer Science 2019-05-21 Jacob Beckerman , Theodore Christakis

In this paper we discuss contrastive explanations for formal argumentation - the question why a certain argument (the fact) can be accepted, whilst another argument (the foil) cannot be accepted under various extension-based semantics. The…

Artificial Intelligence · Computer Science 2022-01-26 AnneMarie Borg , Floris Bex

Commonsense knowledge is paramount to enable intelligent systems. Typically, it is characterized as being implicit and ambiguous, hindering thereby the automation of its acquisition. To address these challenges, this paper presents…

Artificial Intelligence · Computer Science 2018-09-28 Ikhlas Alhussien , Erik Cambria , Zhang NengSheng

Modal logics for reasoning about the power of coalitions capture the notion of effectivity functions associated with game forms. The main goal of coalition logics is to provide formal tools for modeling the dynamics of a game frame whose…

Logic · Mathematics 2017-03-01 Tomáš Kroupa , Bruno Teheux

This paper addresses fundamental issues on the nature of the concepts and structures of fuzzy logic, focusing, in particular, on the conceptual and functional differences that exist between probabilistic and possibilistic approaches. A…

Artificial Intelligence · Computer Science 2013-04-05 Enrique H. Ruspini

NLP tasks differ in the semantic information they require, and at this time no single se- mantic representation fulfills all requirements. Logic-based representations characterize sentence structure, but do not capture the graded aspect of…

Computation and Language · Computer Science 2016-06-09 I. Beltagy , Stephen Roller , Pengxiang Cheng , Katrin Erk , Raymond J. Mooney

The use of Dynamic Epistemic Logic (DEL) in multi-agent planning has led to a widely adopted action formalism that can handle nondeterminism, partial observability and arbitrary knowledge nesting. As such expressive power comes at the cost…

Artificial Intelligence · Computer Science 2023-07-31 Alessandro Burigana , Paolo Felli , Marco Montali , Nicolas Troquard

We define and study logics in the framework of probabilistic team semantics and over metafinite structures. Our work is paralleled by the recent development of novel axiomatizable and tractable logics in team semantics that are closed under…

Logic in Computer Science · Computer Science 2021-04-12 Miika Hannula , Minna Hirvonen , Juha Kontinen
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