Towards a Proof Theory of G\"odel Modal Logics
  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. 
George Metcalfe (University of Bern), Nicola Olivetti (Paul Cezanne   University)
math.LO cs.LO