2009
DOI: 10.1007/s11229-009-9554-4
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Introspective forgetting

Abstract: Abstract. We model the forgetting of propositional variables in a modal logical context where agents become ignorant and are aware of each others' or their own resulting ignorance. The resulting logic is sound and complete. It can be compared to variable-forgetting as abstraction from information, wherein agents become unaware of certain variables: by employing elementary results for bisimulation, it follows that beliefs not involving the forgotten atom(s) remain true.

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Cited by 29 publications
(8 citation statements)
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“…7 Raising awareness without disclosing truth By switching to partial valuations, raising awareness of a proposition p acts on models by extending the valuation function in such a way that p and ␣p become equally plausible for the agents. This implies that in our semantics, unlike previous work on awareness where raising awareness also unveiled truth values [9,14,15,18,22], raising awareness does not disclose truth. This was illustrated in Figure 12 in which agent b becomes aware of p without knowing the truth value of p, and agent a does not change her mind.…”
Section: Raising Private Awarenessmentioning
confidence: 74%
See 1 more Smart Citation
“…7 Raising awareness without disclosing truth By switching to partial valuations, raising awareness of a proposition p acts on models by extending the valuation function in such a way that p and ␣p become equally plausible for the agents. This implies that in our semantics, unlike previous work on awareness where raising awareness also unveiled truth values [9,14,15,18,22], raising awareness does not disclose truth. This was illustrated in Figure 12 in which agent b becomes aware of p without knowing the truth value of p, and agent a does not change her mind.…”
Section: Raising Private Awarenessmentioning
confidence: 74%
“…Reverse modalities and operations have been studied throughout the history of logic: the AGM model for belief revision considers expansion as well as contraction [1], temporal logics are defined in function of future and past modalities [36,37] and in other work on awareness both raising and forgetting modalities have been introduced [9,14,15,18]. Besides the theoretical motivation, there is also a practical motivation to study forgetting coming from multi-agent systems.…”
Section: Forgetting Awarenessmentioning
confidence: 99%
“…This kind of enforcement is probably the most studied throughout the literature on abstract argumentation, since the work of [9], as it has 11 The last type of action connects with a recent thoughtful study of the notion of forgetting an argument in the context of AFs [12]. Interestingly, we can capture within IAFs the distinction, made in [33], between forgetting-as-becoming-unaware (moving an argument from A F ∪ A ? to U \ (A F ∪ A ?…”
Section: Towards a General Theorymentioning
confidence: 97%
“…The hiding of knowledge from the intruder is closely related to forgetting the knowledge. Different ways of forgetting from the epistemic point of view have been discussed by van Ditmarsch et al [16]. They proposed a sound and complete logical system of propositional variable forgetting.…”
Section: Statement Cmentioning
confidence: 99%