Proof Systems for Exact Entailment

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We present a series of proof systems for exact entailment (i.e. relevant truthmaker preservation from premises to conclusion) and prove soundness and completeness. Using the proof systems, we observe that exact entailment is not only hyperintensional in the sense of Cresswell but also in the sense recently proposed by Odintsov and Wansing.

Original languageEnglish
Pages (from-to)1260 - 1295
Number of pages36
JournalReview of Symbolic Logic
Volume16
Issue number4
Early online date2022
DOIs
Publication statusPublished - 2023

Bibliographical note

Publisher Copyright:
© 2022 Cambridge University Press. All rights reserved.

Keywords

  • Hilbert calculus
  • Truthmakers
  • exact entailment
  • proof theory
  • sequent calculus

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