Translations between linear and tree natural deduction systems for relevant logics
Journal
Review of Symbolic Logic
Journal Volume
14
Journal Issue
2
Date Issued
2021-06-01
Author(s)
Abstract
Anderson and Belnap presented indexed Fitch-style natural deduction systems for the relevant logics R, E, and T. This work was extended by Brady to cover a range of relevant logics. In this paper I present indexed tree natural deduction systems for the Anderson-Belnap-Brady systems and show how to translate proofs in one format into proofs in the other, which establishes the adequacy of the tree systems.
Subjects
relevant logics, natural deduction, translations
Type
journal article