Labelled Natural Deduction for Public Announcement Logic with Common Knowledge

Labelled Natural Deduction for Public Announcement Logic with Common Knowledge

Public announcement logic is a logic that studies epistemic updates. In this paper, we propose a sound and complete labelled natural deduction system for public announcement logic with the common knowledge operator (PAC). The completeness of the proposed system is proved indirectly through a Hilbert...

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Bibliographic Details
Main Authors: Muhammad Farhan Mohd Nasir, Wan Ainun Mior Othman, Kok Bin Wong
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
public announcement logic
common knowledge
labelled natural deduction
dynamic logic
epistemic logic
proof theory
Online Access:https://www.mdpi.com/2227-7390/8/4/626

Internet

https://www.mdpi.com/2227-7390/8/4/626

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