Quantifying Notes

@inproceedings{Ditmarsch2012QuantifyingN,
  title={Quantifying Notes},
  author={Hans van Ditmarsch},
  booktitle={WoLLIC},
  year={2012}
}
We review several logics with propositional quantification. 

To Be Announced

TLDR
This survey reviews dynamic epistemic logics with modalities for quantification over information change with complete axiomatizations, focussing on axioms involving the interaction between knowledge and such quantifiers, and reports on their relative expressivity and applications.

Quantifying Notes Revisited

TLDR
This survey presents typical axioms involving the relation between knowledge or belief and informative action, their relative expressivity, directions for applications, and what is known on the decidability and complexity of model checking and satisfiability of dynamic epistemic logics.

The Undecidability of Quantified Announcements

TLDR
It is shown that when there are multiple agents in the language, the satisfiability problem is undecidable for APAL, GAL, and CAL, and in the single agent case, the satisfaction problem is decidable for all three logics.

Coalition and Group Announcement Logic

TLDR
This paper considers a combination of these logics – Coalition and Group Announcement Logic and provides its complete axiomatisation and partially answer the question of how group and coalition announcement operators interact, and settle some other open problems.

Refinement modal logic

Arbitrary Public Announcement Logic with Memory

TLDR
This work introduces Arbitrary Public Announcement Logic with Memory, and presents a complete recursive axiomatization, that includes a natural finitary rule, and examines this logic’s expressivity and the appropriate notion of bisimulation.

Groups Versus Coalitions: On the Relative Expressivity of GAL and CAL

TLDR
It is shown that there is a propertyexpressible in GAL that is not expressible in CAL, and it is still an open question whether CAL is subsumed by GAL, or whether the two logics have incomparable expressive power.

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