Relational representability for algebras of substructural logics

  • Authors:
  • Ewa Orłowska;Anna Maria Radzikowska

  • Affiliations:
  • National Institute of Telecommunications, Warsaw, Poland;Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

  • Venue:
  • RelMiCS'05 Proceedings of the 8th international conference on Relational Methods in Computer Science, Proceedings of the 3rd international conference on Applications of Kleene Algebra
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

Representation theorems for the algebras of substructural logics FL, FLe, FLc, and FLw are presented. The construction of the representation algebras is an extension of the constructions from Urquhart ([25]) and Allwein and Dunn ([1]). Namely, the representation algebras are built from the frames, which are appropriately associated to substructural logics. As a by–product we obtain a Kripke–style frame semantics for these logics.