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In this article, we consider iteration principles for contraction, with the goal of identifying properties for contractions that respect conditional beliefs. Therefore, we investigate and evaluate four groups of iteration principles for…

Artificial Intelligence · Computer Science 2022-02-08 Kai Sauerwald , Gabriele Kern-Isberner , Christoph Beierle

The field of iterated belief change has focused mainly on revision, with the other main operator of AGM belief change theory, i.e. contraction, receiving relatively little attention. In this paper we extend the Harper Identity from…

Artificial Intelligence · Computer Science 2016-04-20 Jake Chandler , Richard Booth

Iterated Belief Change is the research area that investigates principles for the dynamics of beliefs over (possibly unlimited) many subsequent belief changes. In this paper, we demonstrate how iterated belief change is connected to…

Artificial Intelligence · Computer Science 2022-02-21 Kai Sauerwald , Christoph Beierle

Traditional logic-based belief revision research focuses on designing rules to constrain the behavior of revision operators. Frameworks have been proposed to characterize iterated revision rules, but they are often too loose, leading to…

Artificial Intelligence · Computer Science 2025-05-13 Hua Meng , Zhiguo Long , Michael Sioutis , Zhengchun Zhou

The axiom of recovery, while capturing a central intuition regarding belief change, has been the source of much controversy. We argue briefly against putative counterexamples to the axiom--while agreeing that some of their insight deserves…

Artificial Intelligence · Computer Science 2007-05-23 Samir Chopra , Aditya Ghose , Thomas Meyer

Darwiche and Pearl's seminal 1997 article outlined a number of baseline principles for a logic of iterated belief revision. These principles, the DP postulates, have been supplemented in a number of alternative ways. Most of the suggestions…

Artificial Intelligence · Computer Science 2018-07-27 Richard Booth , Jake Chandler

While research on iterated revision is predominant in the field of iterated belief change, the class of iterated contraction operators received more attention in recent years. In this article, we examine a non-prioritized generalisation of…

Artificial Intelligence · Computer Science 2019-08-13 Kai Sauerwald , Christoph Beierle

The belief revision field is opulent in new proposals and indigent in analyses of existing approaches. Much work hinge on postulates, employed as syntactic characterizations: some revision mechanism is equivalent to some properties.…

Artificial Intelligence · Computer Science 2025-07-04 Paolo Liberatore

Belief revision is an operation that aims at modifying old beliefs so that they become consistent with new ones. The issue of belief revision has been studied in various formalisms, in particular, in qualitative algebras (QAs) in which the…

Artificial Intelligence · Computer Science 2014-05-06 Valmi Dufour-Lussier , Alice Hermann , Florence Le Ber , Jean Lieber

Recent work has considered the problem of extending to the case of iterated belief change the so-called `Harper Identity' (HI), which defines single-shot contraction in terms of single-shot revision. The present paper considers the…

Artificial Intelligence · Computer Science 2019-07-03 Jake Chandler , Richard Booth

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

Iterated applications of belief change operators are essential for different scenarios such as that of ontology evolution where new information is not presented at once but only in piecemeal fashion within a sequence. I discuss iterated…

Artificial Intelligence · Computer Science 2016-03-31 Özgür Lütfü Özçep

The (extended) AGM postulates for belief revision seem to deal with the revision of a given theory K by an arbitrary formula, but not to constrain the revisions of two different theories by the same formula. A new postulate is proposed and…

Artificial Intelligence · Computer Science 2007-05-23 Michael Freund , Daniel Lehmann

Belief revision is an operation that aims at modifying old be-liefs so that they become consistent with new ones. The issue of belief revision has been studied in various formalisms, in particular, in qualitative algebras (QAs) in which the…

Artificial Intelligence · Computer Science 2014-12-15 Valmi Dufour-Lussier , Alice Hermann , Florence Le Ber , Jean Lieber

Several forms of iterable belief change exist, differing in the kind of change and its strength: some operators introduce formulae, others remove them; some add formulae unconditionally, others only as additions to the previous beliefs;…

Artificial Intelligence · Computer Science 2021-04-09 Paolo Liberatore

Despite efforts to better understand the constraints that operate on single-step parallel (aka "package", "multiple") revision, very little work has been carried out on how to extend the model to the iterated case. A recent paper by…

Artificial Intelligence · Computer Science 2025-05-21 Jake Chandler , Richard Booth

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

We examine carefully the rationale underlying the approaches to belief change taken in the literature, and highlight what we view as methodological problems. We argue that to study belief change carefully, we must be quite explicit about…

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

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

This paper deals with belief base revision that is a form of belief change consisting of the incorporation of new facts into an agent's beliefs represented by a finite set of propositional formulas. In the aim to guarantee more reliability…

Artificial Intelligence · Computer Science 2020-09-25 Raïda Ktari , Mohamed Ayman Boujelben
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