Skip Navigation

Journal of Logic and Computation 2005 15(6):1059-1073; doi:10.1093/logcom/exi053
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (3)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Artemov, S.
Right arrow Articles by Nogina, E.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Vol. 15 No. 6, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

Introducing Justification into Epistemic Logic

Sergei Artemov1 and Elena Nogina2

1 Graduate Center CUNY, Computer Science, 365 Fifth Avenue, New York, NY 10016, USA. Email: sartemov{at}gc.cuny.edu, 2 BMCC CUNY, Department of Mathematics, 199 Chambers Street, New York, NY 10007, USA. Email: ENogina{at}bmcc.cuny.edu

Plato's tripartite definition of knowledge as justified true belief (JTB) is generally regarded as a set of necessary conditions for the possession of knowledge. The true belief components the JTB definition are represented in formal epistemology by modal logic and its possible worlds semantics. At the same time, the justification component of Plato's definition did not have a formal representation. This paper introduces the notion of justification into formal epistemology. Epistemic logic with justification, along with the usual knowledge operator {square}F (F is known), contains assertions t:F (t is a justification for F). We study two basic systems, S4LP and S4LPN, of epistemic logic with justification and show completeness with respect to natural epistemic semantics, which augments Kripke models with a natural Fitting-style treatment of justification assertions t:F. Some new specific properties of epistemic logic with justification are established.

Keywords: Epistemic lgoic, logic of proofs, justification, knowledge

Received 15 March 2005.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.