English

Classical theorems in the Implicational Propositional Calculus

Logic 2016-02-09 v1

Abstract

For formulas of the Implicational Propositional Calculus (IPC) that are theorems of the classical Propositional Calculus (PC) we show that PC proofs yield IPC proofs. As a consequence, completeness of PC yields completeness of IPC.

Keywords

Cite

@article{arxiv.1602.02301,
  title  = {Classical theorems in the Implicational Propositional Calculus},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1602.02301},
  year   = {2016}
}
R2 v1 2026-06-22T12:44:49.311Z