‘Knowable’ as ‘known after an announcement’

Open Access
Authors
  • T. Hoshi
  • T. de Lima
Publication date 2008
Journal Review of Symbolic Logic
Volume | Issue number 1 | 3
Pages (from-to) 305-334
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract
Public announcement logic is an extension of multiagent epistemic logic with dynamic operators to model the informational consequences of announcements to the entire group of agents. We propose an extension of public announcement logic with a dynamic modal operator that expresses what is true after any announcement: (diamond)φ expresses that there is a truthful announcement ψ after which φ is true. This logic gives a perspective on Fitch's knowability issues: For which formulas φ, does it hold that φ → (diamond)⋄Kφ? We give various semantic results and show completeness for a Hilbert-style axiomatization of this logic. There is a natural generalization to a logic for arbitrary events.
Document type Article
Note © Association for Symbolic Logic 2008
Language English
Published at https://doi.org/10.1017/S1755020308080210
Downloads
300615.pdf (Final published version)
Permalink to this page
Back