English

A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation

Logic in Computer Science 2021-08-12 v1 Logic

Abstract

This paper presents a way of formalising definite descriptions with a binary quantifier ι\iota, where ιx[F,G]\iota x[F, G] is read as `The FF is GG'. Introduction and elimination rules for ι\iota in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F,G]\iota x[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

Cite

@article{arxiv.2108.01976,
  title  = {A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation},
  author = {Nils Kürbis},
  journal= {arXiv preprint arXiv:2108.01976},
  year   = {2021}
}
R2 v1 2026-06-24T04:49:14.429Z