Epistemic Logic with Functional Dependency Operator
Abstract
Epistemic logic with non-standard knowledge operators, especially the "knowing-value" operator, has recently gathered much attention. With the "knowing-value" operator, we can express knowledge of individual variables, but not of the relations between them in general. In this paper, we propose a new operator Kf to express knowledge of the functional dependencies between variables. The semantics of this Kf operator uses a function domain which imposes a constraint on what counts as a functional dependency relation. By adjusting this function domain, different interesting logics arise, and in this paper we axiomatize three such logics in a single agent setting. Then we show how these three logics can be unified by allowing the function domain to vary relative to different agents and possible worlds. A multiagent axiomatization is given in this case.
Keywords
Cite
@article{arxiv.1706.02048,
title = {Epistemic Logic with Functional Dependency Operator},
author = {Yifeng Ding},
journal= {arXiv preprint arXiv:1706.02048},
year = {2017}
}