Linguistic Applications of First Order Intuitionistic Linear Logic

  • Authors:
  • Richard Moot;Mario Piazza

  • Affiliations:
  • Utrecht Institute of Linguistics-OTS, Trans 10, 3512 JK Utrecht, The Netherlands E-mail: richard.moot@let.uu.nl;Utrecht Institute of Linguistics-OTS, Trans 10, 3512 JK Utrecht, The Netherlands

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 2001

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper we will discuss the first order multiplicativeintuitionistic fragment of linear logic, MILL1, and itsapplications to linguistics. We give an embedding translation fromformulas in the Lambek Calculus to formulas in MILL1 and show thistranslation is sound and complete. We then exploit the extra power ofthe first order fragment to give an account of a number of linguisticphenomena which have no satisfactory treatment in the Lambek Calculus.