English

Towards a Proof Theory of G\"odel Modal Logics

Logic 2015-07-01 v2 Logic in Computer Science

Abstract

Analytic proof calculi are introduced for box and diamond fragments of basic modal fuzzy logics that combine the Kripke semantics of modal logic K with the many-valued semantics of G\"odel logic. The calculi are used to establish completeness and complexity results for these fragments.

Keywords

Cite

@article{arxiv.1105.1256,
  title  = {Towards a Proof Theory of G\"odel Modal Logics},
  author = {George Metcalfe and Nicola Olivetti},
  journal= {arXiv preprint arXiv:1105.1256},
  year   = {2015}
}