English

On the number of variables in undecidable superintuitionistic propositional calculi

Logic 2015-11-09 v2

Abstract

In this paper, we construct an undecidable 3-variable superintuitionistic propositional calculus, i.e., a finitely axiomatizable extension of the intuitionistic propositional calculus with axioms containing only 3 variables. Since there are no 2-variable superintuitionistic propositional calculi, this is the minimal possible number of variables.

Keywords

Cite

@article{arxiv.1504.03358,
  title  = {On the number of variables in undecidable superintuitionistic propositional calculi},
  author = {Grigoriy V. Bokov},
  journal= {arXiv preprint arXiv:1504.03358},
  year   = {2015}
}

Comments

18 pages, 1 figure