Seminar

Thursday, January 21st, 2021, 10:30, on Zoom. PLEASE NOTICE THAT THE TALK WAS POSTPONED

Eugenio Orlandelli (Bologna)
FULL CUT ELIMINATION AND INTERPOLATION FOR INTUITIONISTIC LOGIC WITH EXISTENCE PREDICATE

Abstract:

In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig’s interpolation property; it is also conjectured that interpolation fails for the implication-free fragment. In this paper an equivalent calculus is introduced that satisfies full cut elimination and allows a direct proof of interpolation via Maehara’s lemma. In this way, it is possible to obtain much simpler interpolants and to better understand and (partly) overcome the failure of interpolation for the implication-free fragment.

The seminar will be held on Zoom. In order to get access to the Zoom meeting, please contact Peter Schuster or Giulio Fellin.