2004/09/05 by Alexander Sakharov, Sakharov, Alexander
Mathematics · #03B20 #03F05 #FOS: Mathematics #General Mathematics (math.GM) #Logic (math.LO) #math.GM #math.LO #msc:03B20 #msc:03F05
paper · pdf · doi:10.48550/arxiv.math/0409070
18 pages. Enhanced the disjunction theorem
arxiv created 2005/05/08 · arxiv updated 2009/12/01
Intuitionistic logic extended with decidable propositional atoms combines classical properties in its propositional part and intuitionistic properties for derivable formulas not containing propositional symbols. Sequent calculus is used as a framework for investigating this extension. Admissibility of cut is retained. Constrained Kripke structures are introduced for modeling intuitionistic logic with decidable propositional atoms. The extent of the disjunction and existence properties is investigated. The latest information about this research can be found at http://sakharov.net/median.html