English

The First-Order Syntax of Variadic Functions

Logic 2019-11-19 v3

Abstract

We extend first-order logic to include variadic function symbols, and prove a substitution lemma. Two applications are given: one to bounded quantifier elimination and one to the definability of certain Borel sets.

Keywords

Cite

@article{arxiv.1105.4135,
  title  = {The First-Order Syntax of Variadic Functions},
  author = {Samuel Alexander},
  journal= {arXiv preprint arXiv:1105.4135},
  year   = {2019}
}

Comments

15 pages, 1 table

R2 v1 2026-06-21T18:10:15.556Z