English

Intuitionistic Existential Instantiation and Epsilon Symbol

Logic 2012-08-16 v1 Logic in Computer Science

Abstract

A natural deduction system for intuitionistic predicate logic with existential \ instantiation rule presented here uses Hilbert's \e\e-symbol. It is conservative over intuitionistic predicate logic. We provide a completeness proof for a suitable Kripke semantics, sketch an approach to a normalization proof, survey related work and state some open problems. Our system extends intuitionistic systems with \e\e-symbol due to A. Dragalin and Sh. Maehara.

Cite

@article{arxiv.1208.0861,
  title  = {Intuitionistic Existential Instantiation and Epsilon Symbol},
  author = {Grigori Mints},
  journal= {arXiv preprint arXiv:1208.0861},
  year   = {2012}
}
R2 v1 2026-06-21T21:46:08.420Z