FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
On Natural Deduction for Herbrand Constructive Logics III: The Strange Case of the Intuitionistic Logic of Constant Domains

Author: Federico Aschieri

Paper Information

Title:On Natural Deduction for Herbrand Constructive Logics III: The Strange Case of the Intuitionistic Logic of Constant Domains
Authors:Federico Aschieri
Proceedings:CL&C Full papers and abstracts
Editor: Stefano Berardi
Keywords:Natural deduction, Curry-Howard, Intuitionistic logic of constant domains
Abstract:

ABSTRACT. The logic of constant domains is intuitionistic logic extended with the so-called forall-shift axiom, a classically valid statement which implies the excluded middle over decidable formulas. Surprisingly, this logic is constructive and so far this has been proved by cut-elimination for ad-hoc sequent calculi. Here we use the methods of natural deduction and Curry-Howard correspondence to provide a simple computational interpretation of the logic.

Pages:9
Talk:Jul 07 14:00 (Session 28A)
Paper: