The dynamic logic of stating and asking

Ciardelli, Ivano (2017): The dynamic logic of stating and asking. A study of inquisitive dynamic modalities. International Workshop on Logic, Rationality and Interaction, Sapporo, Japan, 11. - 14. September 2017. Baltag, Alexandru (ed.) : In: Logic, rationality, and interaction ; 6th international workshop, LORI 2017, Sapporo, Japan, September 11-14, 2017 : proceedings, Vol. 10455 Berlin: Springer. pp. 240-255

Abstract

Inquisitive dynamic epistemic logic (IDEL) extends standard public announcement logic incorporating ideas from inquisitive semantics. In IDEL, the standard public announcement action can be extended to a more general public utterance action, which may involve a statement or a question. While uttering a statement has the effect of a standard announcement, uttering a question typically leads to new issues being raised. In this paper, we investigate the logic of this general public utterance action. We find striking commonalities, and some differences, with standard public announcement logic. We show that dynamic modalities admit a set of reduction axioms, which allow us to turn any formula of IDEL into an equivalent formula of static inquisitive epistemic logic. This leads us to establish several complete axiomatizations of IDEL, corresponding to known axiomatizations of public announcement logic.

• Item Type: Conference or Workshop Item (Paper)
• Form of publication: Submitted Version
• Keywords: Questions; inquisitive logic; dynamic epistemic logic; public announcement; reduction axioms
• Faculties: Philosophy, Philosophy of Science and Religious Science > Chair of Logic and Philosophy of Language
• Subjects: 100 Philosophy and Psychology > 100 Philosophy; 100 Philosophy and Psychology > 160 Logic; 400 Language > 410 Linguistics; 500 Science > 510 Mathematics
• Place of Publication: Berlin
• Language: English