Description

• Title:
  Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate
• Creator:
  Maffezioli, Paolo;
  Orlandelli, Eugenio
• Contributor:
  Departamet de Filosofia, Universitat de Barcelona, Barcelona, Spain;
  Dipartimento di Filosofia e Comunicazione, Universitá di Bologna, Bologna, Italy;
  paolo.maffezioli@ub.edu;
  eugenio.orlandelli@unibo.it
• Description:
  In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that interpolation fails for the implication-free fragment. In this paper an equivalent calculus is introduced that satisfies full cut elimination and allows a direct proof of interpolation via Maehara's lemma. In this way, it is possible to obtain much simpler interpolants and to better understand and (partly) overcome the failure of interpolation for the implication-free fragment.
• Object availability:
  free access
• Rights:
  This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.;
  http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2019.10.13;
  2019
• Type:
  Article
• Language:
  English;
  eng
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic; 2;
  48
• Subject:
  intuitionistic logic;
  existence predicate;
  sequent calculi;
  cut elimination;
  interpolation;
  Maehara's lemma;
  logic
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/30602 ;
  2449-836X;
  10.18778/0138-0680.48.2.04
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image