Description

• Title:
  Proof Theory for Intuitionistic Stable Theories
• Creator:
  Maffezioli, Paolo
• Description:
  In this paper we show how to extend the standard cut-elimination procedure from first-order intuitionistic stable logic to a class of intuitionistic stable theories. Building on previous works by Negri and von Plato, we aptly modify the underlying calculus for first-order intuitionistic logic so as to preserve the admissibility of all the structural rules, including cut, in the presence of a restricted version of the rule of classical reductio ad absurdum and of a special case of universal rules.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2025 Paolo Maffezioli
• Date:
  2025.06.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Online First Articles; 1-19;
  Logic and Logical Philosophy; Prace online; 1-19;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/56463/42999
• Subject:
  stable logic;
  intuitionistic logic;
  proof theory
• Identifier: https://apcz.umk.pl/LLP/article/view/56463
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text