Intuitionistic Epistemic Logic with Distributed Knowledge

Authors

  • Ryo Murai Hokkaido University
  • Katsuhiko Sano Hokkaido University

DOI:

https://doi.org/10.13053/cys-26-2-4259

Keywords:

Intuitionistic logic, epistemic logic, dis- tributed knowledge

Abstract

We develop intuitionistic epistemic logicswith distributed knowledge, which is more general thana logic proposed by (J¨ager & Marti 2016) in thata distributed knowledge operator is parameterized bya group of agents.Specifically, we present Hilbertsystems of intuitionistic K, KT, KD, K4, K4D, and S4 withdistributed knowledge. The semantic completeness ofthe logics with regard to suitable Kripke frames is shownby modifying the standard argument of the semanticcompleteness of classical distributed knowledge logicsvia the concept of pseudo-model.We also presentcut-free sequent calculi for the logics, based on which weestablish Craig interpolation theorem and decidability.

Downloads

Published

2022-06-15

Issue

Vol. 26 No. 2 (2022): Emerging Issues and Applications of Fuzzy Systems, Neural Networks and Metaheuristics (Castillo, Melin, Montiel, Valdez)

Section

Articles of the Thematic Section

License 

Hereby I transfer exclusively to the Journal "Computación y 
Sistemas", published by the Computing Research Center (CIC-IPN),
the Copyright of the aforementioned paper. I also accept that these 
rights will not be transferred to any other publication, in any other 
format, language or other existing means of developing.
I certify that the paper has not been previously disclosed or simultaneo
usly submitted to any other publication, and that it does not contain 
material whose publication would violate the Copyright or other 
proprietary rights of any person, company or institution. I certify that 
I have the permission from the institution or company where I work or 
study to publish this work.
The representative author accepts the responsibility for the publication
of this paper on behalf of each and every one of the authors. 
This transfer is subject to the following conditions:
  • The authors retain all ownership rights (such as patent rights) of this work, except for the publishing rights transferred to the CIC, through this document.
  • Authors retain the right to publish the work in whole or in part in any book they are the authors or publishers. They can also make use of this work in conferences, courses, personal web pages, and so on.
  • Authors may include working as part of his thesis, for non-profit distribution only.