Searcharxiv⌕ Search

arXiv subjects

Vladimir N. Krupski

Publications and source records attributed to Vladimir N. Krupski.

2 recordsLinked to original sources
arXiv2017

On the sharpness and the injective property of basic justification models

Justification Awareness Models, JAMs, were proposed by S.~Artemov as a tool for modelling epistemic scenarios like Russel's Prime Minister example. It was demonstrated that the sharpness and the injective property of a model play essential role in the epistemic usage of JAMs. The problem to axiomatize these properties using the propositional justification language was left opened. We propose the solution and define a decidable justification logic Jref that is sound and complete with respect to the class of all sharp injective justification models.

cs.LO↗
arXiv2015

Sequent Calculus for Intuitionistic Epistemic Logic

The formal system of intuitionistic epistemic logic IEL was proposed by S. Artemov and T. Protopopescu. It provides the formal foundation for the study of knowledge from an intuitionistic point of view based on Brouwer-Hayting-Kolmogorov semantics of intuitionism. We construct a cut-free sequent calculus for IEL and establish that polynomial space is sufficient for the proof search in it. So, we prove that IEL is PSPACE-complete.

cs.LO↗