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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

This paper discusses belief revision under uncertain inputs in the framework of possibility theory. Revision can be based on two possible definitions of the conditioning operation, one based on min operator which requires a purely ordinal…

Artificial Intelligence · Computer Science 2013-02-18 Didier Dubois , Henri Prade

Rational inference relations were introduced by Lehmann and Magidor as the ideal systems for drawing conclusions from a conditional base. However, there has been no simple characterization of these relations, other than its original…

Logic in Computer Science · Computer Science 2007-05-23 Konstantinos Georgatos

Using a recent alternative to Tarskian semantics for first-order logic, known as $\textit{possibility semantics}$, I introduce an alternative approach to nonstandard analysis that remains within the bounds of \textit{semi-constructive}…

Logic · Mathematics 2022-01-27 Guillaume Massas

We characterize the expressive power of description logic (DL) TBoxes, both for expressive DLs such as ALC and ALCQIO and lightweight DLs such as DL-Lite and EL. Our characterizations are relative to first-order logic, based on a wide range…

Logic in Computer Science · Computer Science 2011-04-18 Carsten Lutz , Robert Piro , Frank Wolter

In Knowledge Representation, it is crucial that knowledge engineers have a good understanding of the formal expressions that they write. What formal expressions state intuitively about the domain of discourse is studied in the theory of the…

Artificial Intelligence · Computer Science 2019-01-29 Marc Denecker , Yuliya Lierler , Miroslaw truszczynski , Joost Vennekens

We propose a new approach to belief revision that provides a way to change knowledge bases with a minimum of effort. We call this way of revising belief states optimal belief revision. Our revision method gives special attention to the fact…

Artificial Intelligence · Computer Science 2007-05-23 Carmen Vodislav , Robert E. Mercer

A practical approach is presented which allows the use of a non-invariant regularization scheme for the computation of quantum corrections in perturbative quantum field theory. The theoretical control of algebraic renormalization over…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. A. Grassi , T. Hurth , M. Steinhauser

Understanding how humans revise their beliefs in light of new information is crucial for developing AI systems which can effectively model, and thus align with, human reasoning. While theoretical belief revision frameworks rely on a set of…

Artificial Intelligence · Computer Science 2025-06-12 Stylianos Loukas Vasileiou , Antonio Rago , Maria Vanina Martinez , William Yeoh

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

We present a general logical framework for reasoning about agents' cognitive attitudes of both epistemic type and motivational type. We show that it allows us to express a variety of relevant concepts for qualitative decision theory…

Artificial Intelligence · Computer Science 2023-06-22 Emiliano Lorini

There are two fundamentally different approaches to specifying and verifying properties of systems. The logical approach makes use of specifications given as formulae of temporal or modal logics and relies on efficient model checking…

Logic in Computer Science · Computer Science 2013-06-05 Nikola Beneš , Benoît Delahaye , Uli Fahrenberg , Jan Křetínský , Axel Legay

Belief revision is the task of modifying a knowledge base when new information becomes available, while also respecting a number of desirable properties. Classical belief revision schemes have been already specialised to \emph{binary…

Artificial Intelligence · Computer Science 2022-01-21 Lilith Mattei , Alessandro Facchini , Alessandro Antonucci

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

In action domains where agents may have erroneous beliefs, reasoning about the effects of actions involves reasoning about belief change. In this paper, we use a transition system approach to reason about the evolution of an agents beliefs…

Artificial Intelligence · Computer Science 2014-01-17 Aaron Hunter , James P. Delgrande

Most approaches for repairing description logic (DL) ontologies aim at changing the axioms as little as possible while solving inconsistencies, incoherences and other types of undesired behaviours. As in Belief Change, these issues are…

Logic in Computer Science · Computer Science 2022-02-22 Jandson S. Ribeiro , Ricardo Guimarães , Ana Ozaki

We present a method for relevance sensitive non-monotonic inference from belief sequences which incorporates insights pertaining to prioritized inference and relevance sensitive, inconsistency tolerant belief revision. Our model uses a…

Artificial Intelligence · Computer Science 2016-08-31 Samir Chopra , Konstantinos Georgatos , Rohit Parikh

This paper considers a formalisation of classical logic using general introduction rules and general elimination rules. It proposes a definition of `maximal formula', `segment' and `maximal segment' suitable to the system, and gives…

Logic in Computer Science · Computer Science 2023-04-25 Nils Kürbis

In previous work ("Knowledge from Probability", TARK 2021) we develop a question-relative, probabilistic account of belief. On this account, what someone believes relative to a given question is (i) closed under entailment, (ii)…

Artificial Intelligence · Computer Science 2023-07-13 Jeremy Goodman , Bernhard Salow

Belief revision and update, two significant types of belief change, both focus on how an agent modify her beliefs in presence of new information. The most striking difference between them is that the former studies the change of beliefs in…

Artificial Intelligence · Computer Science 2023-10-31 Quanlong Guan , Tong Zhu , Liangda Fang , Junming Qiu , Zhao-Rong Lai , Weiqi Luo
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