Description

• Title:
  Involutive Nonassociative Lambek Calculus: Sequent Systems and Complexity
• Creator:
  Buszkowski, Wojciech
• Contributor:
  Adam Mickiewicz University, Faculty of Mathematics and Computer Science, Poznań, Poland;
  buszko@amu.edu.pl
• Description:
  In [5] we study Nonassociative Lambek Calculus (NL) augmented with De Morgan negation, satisfying the double negation and contraposition laws. This logic, introduced by de Grooté and Lamarche [10], is called Classical Non-Associative Lambek Calculus (CNL). Here we study a weaker logic InNL, i.e. NL with two involutive negations. We present a one-sided sequent system for InNL, admitting cut elimination. We also prove that InNL is PTIME.;
  Zadanie „ Wdrożenie platformy Open Journal System dla czasopisma „ Bulletin of the Section of Logic” finansowane w ramach umowy 948/P-DUN/2016 ze środków Ministra Nauki i Szkolnictwa Wyższego przeznaczonych na działalność upowszechniającą naukę.
• Object availability:
  free access
• Rights:
  © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017
• Date:
  2018.04.24;
  2017
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1/2;
  46
• Subject:
  nonassociative Lambek calculus;
  linear logic;
  sequent system;
  cut elimination;
  PTIME complexity
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/24563 ;
  2449-836X;
  10.18778/0138-0680.46.1.2.07
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  image