An Arithmetical Interpretation of Verification and Intuitionistic Knowledge
Abstract
Intuitionistic epistemic logic introduces an epistemic operator, which reflects the intended BHK semantics of intuitionism, to intuitionistic logic. The fundamental assumption concerning intuitionistic knowledge and belief is that it is the product of verification. The BHK interpretation of intuitionistic logic has a precise formulation in the Logic of Proofs and its arithmetical semantics. We show here that this interpretation can be extended to the notion of verification upon which intuitionistic knowledge is based, thereby providing the systems of intuitionistic epistemic logic extended by an epistemic operator based on verification with an arithmetical semantics too.
Keywords
Cite
@article{arxiv.1601.03059,
title = {An Arithmetical Interpretation of Verification and Intuitionistic Knowledge},
author = {Tudor Protopopescu},
journal= {arXiv preprint arXiv:1601.03059},
year = {2016}
}
Comments
Due to several publisher's errors the publisher failed to include a corrected version of the paper for publication. The paper published in LNCS 9537 is an uncorrected proof which contains various errors introduced by the publisher, and lacks changes submitted to, and approved for inclusion by, the publisher. This should be considered the official one