All first-order G?odel logics GV with globalization operator based on truth value sets V C [0,1] where 0 and 1 lie in the perfect kernel ofV are axiomatized by Ciabattoni?s hypersequent calculus HGIF [10].
Citation:
Matthias Baaz, Norbert Preining, Richard Zach, "Completeness of a Hypersequent Calculus for Some First-order Godel Logics with Delta," ismvl, pp.9, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006