Quantifying over boolean announcements

@article{Ditmarsch2017QuantifyingOB,
  title={Quantifying over boolean announcements},
  author={Hans van Ditmarsch and Tim French},
  journal={CoRR},
  year={2017},
  volume={abs/1712.05310}
}
Various extensions of public announcement logic have been proposed with quantification over announcements. The best-known extension is called arbitrary public announcement logic, APAL. It contains a primitive language construct ✷φ intuitively expressing that “after every public announcement of a formula, formula φ is true.” The logic APAL is undecidable and it has an infinitary axiomatization. Now consider restricting the APAL quantification to public announcements of boolean formulas only… CONTINUE READING
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