On temporal Gödel-Gentzen translation

  • Authors:
  • Norihiro Kamide

  • Affiliations:
  • Waseda Institute for Advanced Study, Waseda University, Shinjuku-ku, Tokyo, Japan

  • Venue:
  • KES'11 Proceedings of the 15th international conference on Knowledge-based and intelligent information and engineering systems - Volume Part II
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

Temporal logics and their intuitionistic counterparts are of growing importance in Computer Science. These intuitionistic counterparts, called intuitionistic (or constructive) temporal logics, are known to be useful for formalizing functional programming. To show a clear relationship between temporal logics and their intuitionistic counterparts has thus been required. In this paper, a theorem for embedding first-order linear-time temporal logic into its intuitionistic counterpart is proved using Baratella-Masini's temporal extension of the Gödel-Gentzen negative translation of classical logic into intuitionistic logic.