Putting right the wording and the proof of the Truth Lemma for APAL

Philippe Balbiani (1, 2)

1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
2 CNRS - Centre National de la Recherche Scientifique

APAL is an extension of public announcement logic. It is based on a modal operator that expresses what is true after any arbitrary announcement. A wrong Truth Lemma has been stated and "demonstrated" in a previous paper. In this paper, we put right the wording and the proof of the Truth Lemma for APAL.

Mots clés: Dynamic epistemic logic; Public announcements; Arbitrary announcements; Axiomatisation; Completeness

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Philippe Balbiani. Putting right the wording and the proof of the Truth Lemma for APAL. Journal of Applied Non-Classical Logics, 2015, 25 - 2015 (1), pp.2-19. ⟨10.1080/11663081.2015.1011489⟩. ⟨hal-01739993⟩