Probabilistic Epistemic Updates on Algebras

Abstract : The present paper contributes to the development of the mathematical theory of epistemic updates using the tools of duality theory. Here we focus on Probabilistic Dynamic Epistemic Logic (PDEL). We dually characterize the product update construction of PDEL-models as a certain construction transforming the complex algebras associated with the given model into the complex algebra associated with the updated model. Thanks to this construction, an interpretation of the language of PDEL can be defined on algebraic models based on Heyting algebras. This justifies our proposal for the axiomatization of the intuitionistic counterpart of PDEL, of which prove soundness and completeness with respect to algebraic probabilistic epistemic models.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas
Contributor : Sabine Frittella <>
Submitted on : Monday, April 17, 2017 - 6:21:27 PM
Last modification on : Thursday, January 17, 2019 - 3:10:02 PM

Links full text


  • HAL Id : hal-01509416, version 1
  • ARXIV : 1612.05267



Willem Conradie, Sabine Frittella, Alessandra Palmigiano, Apostolos Tzimoulis, Nachoem Wijnberg. Probabilistic Epistemic Updates on Algebras. 2017. ⟨hal-01509416⟩



Record views