Classical System of Martin-Lof's Inductive Definitions is not Equivalent to Cyclic Proofs

A cyclic proof system, called CLKID-omega, gives us another way of representing inductive definitions and efficient proof search. The 2005 paper by Brotherston showed that the provability of CLKID-omega includes the provability of LKID, first order classical logic with inductive definitions in Marti...

Full description

Bibliographic Details
Main Authors: Stefano Berardi, Makoto Tatsuta
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-08-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4173/pdf