Towards a General Framework for Kinds of Forgetting in Common-Sense Belief Management

Beierle, Christoph; Kern-Isberner, Gabriele; Sauerwald, Kai; Bock, Tanja; Ragni, Marco

doi:10.1007/s13218-018-0567-3

Cited by 12 publications

(13 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work, we show that Delgrande's forgetting approach is included in and even generalized by the cognitively different kinds of forgetting presented in (Beierle et al 2019), concretely by means of the marginalisation. Moreover, we show that the forgetting properties Delgrande refers to as right and desirable are not suitable to axiomatise the general properties of all kinds of forgetting, but only of those that aim to forget signature elements instead of formulas.…”

Section: Introductionmentioning

confidence: 83%

“…In this section, we will first introduce Delgrande's general forgetting approach (Delgrande 2017) as well as some of its most important properties. Afterwards, we consider the OCF marginalisation as a kind of forgetting (Beierle et al 2019) and show that it generalizes Delgrande's definition to epistemic states.…”

Section: Delgrande's Forgetting and Marginalisationmentioning

confidence: 94%

“…A general framework of forgetting and its instantiation to an approach using OCFs is developed in (Beierle et al 2019). For the purpose of this paper, we concentrate on the marginalisation, which on a cognitive level corresponds to the notion of focussing and can briefly be summarized as:…”

Section: Marginalisationmentioning

confidence: 99%

“…Moreover, he stated a set of properties he refers to as right and desirable when it comes to the notions of forgetting. In contrast to Delgrande's approach, Beierle et al (2019) presented a general framework for cognitively different kinds of forgetting, which also consider the common-sense understanding of forgetting, and their realisation by means of ordinal conditional functions. In the following, we take this broad, common-sense motivated view of forgetting in contrast to the viewpoint put forward by Delgrande, who explicitly states that e.g.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Forgetting Formulas and Signature Elements in Epistemic States

Becker,

Kern-Isberner,

Sauerwald

et al. 2021

Preprint

View full text Add to dashboard Cite

Delgrande's knowledge level account of forgetting provides a general approach to forgetting syntax elements from sets of formulas with links to many other forgetting operations, in particular, to Boole's variable elimination. On the other hand, marginalisation of epistemic states is a specific approach to actively reduce signatures in more complex semantic frameworks, also aiming at forgetting atoms that is very well known from probability theory. In this paper, we bring these two perspectives of forgetting together by showing that marginalisation can be considered as an extension of Delgrande's approach to the level of epistemic states. More precisely, we generalize Delgrande's axioms of forgetting to forgetting in epistemic states, and show that marginalisation is the most specific and informative forgetting operator that satisfies these axioms. Moreover, we elaborate suitable phrasings of Delgrande's concept of forgetting for formulas by transferring the basic ideas of the axioms to forgetting formulas from epistemic states. However, here we show that this results in trivial approaches to forgetting formulas. This finding supports the claim that forgetting syntax elements is essentially different from belief contraction, as e.g. axiomatized in the AGM belief change framework.

show abstract

Section: Introductionmentioning

confidence: 83%

Section: Delgrande's Forgetting and Marginalisationmentioning

confidence: 94%

Section: Marginalisationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Forgetting Formulas and Signature Elements in Epistemic States

Becker,

Kern-Isberner,

Sauerwald

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In a recent survey article by Eiter and Kern-Isberner [8] the connection between contraction and forgetting of a belief is dealt with from a KRR point of view. Steps towards a general framework for kinds of forgetting in common-sense based belief management, revealing links to well-known KRR methods, are taken in [2]. However, for the fading out of rarely used beliefs that takes places in humans gradually over time, or for the change of routines, e.g.…”

Section: Introductionmentioning

confidence: 99%

Decrement Operators in Belief Change

Sauerwald

Beierle

2019

Lecture Notes in Computer Science

Self Cite

View full text Add to dashboard Cite

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 iterated contraction. In particular, the class of weak decrement operators is introduced, which are operators that by multiple steps achieve the same as a contraction. Inspired by Darwiche and Pearl's work on iterated revision the subclass of decrement operators is defined. For both, decrement and weak decrement operators, postulates are presented and for each of them a representation theorem in the framework of total preorders is given. Furthermore, we present two sub-types of decrement operators.

show abstract