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Second-order propositional announcement logic

Abstract : In this paper we introduce Second-order Propositional Announcement Logic (SOPAL): a language to express arbitrary announcements in Public Announcement Logic, by means of propositional quantification. We present SOPAL within a multi-agent context, and show that it is rich enough to express complex notions such as preservation under arbitrary announcements, knowability, and successfulness. We analyse the model theory of SOPAL and prove that it is strictly more expressive than Arbitrary PAL [2], and as expressive as Second-order Propositional Epistemic Logic [4], even though exponentially more succinct than the latter. These results points to a rich logic, with nice computational properties nonetheless, such as a decidable model checking problem and a complete axiomatisation.
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Contributor : Frédéric Davesne <>
Submitted on : Monday, March 20, 2017 - 10:31:47 AM
Last modification on : Tuesday, June 30, 2020 - 11:56:09 AM


  • HAL Id : hal-01492518, version 1


Francesco Belardinelli, Hans van Ditmarsch, Wiebe van der Hoek. Second-order propositional announcement logic. 15th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2016), May 2016, Singapore, Singapore. pp.635--643. ⟨hal-01492518⟩



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