English

On the sharpness and the injective property of basic justification models

Logic in Computer Science 2017-09-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1709.01316,
  title  = {On the sharpness and the injective property of basic justification models},
  author = {Vladimir N. Krupski},
  journal= {arXiv preprint arXiv:1709.01316},
  year   = {2017}
}
R2 v1 2026-06-22T21:33:22.110Z