Epistemic Logic: Completeness of Modal Logics

Asta Halkjær From 🌐

October 29, 2018

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.


This work is a formalization of epistemic logic. It includes proofs of soundness and completeness for the axiom system K. The completeness proof is based on the textbook "Reasoning About Knowledge" by Fagin, Halpern, Moses and Vardi (MIT Press 1995). The extensions of system K (T, KB, K4, S4, S5) and their completeness proofs are based on the textbook "Modal Logic" by Blackburn, de Rijke and Venema (Cambridge University Press 2001). Papers: doi.org/10.1007/978-3-030-88853-4_1, doi.org/10.1007/978-3-030-90138-7_2.


BSD License


April 15, 2021
Added completeness of modal logics T, KB, K4, S4 and S5.


Session Epistemic_Logic