Journal of Symbolic Logic 51 (3):626-647 (1986)

A natural deduction formulation is given for the intermediate logic called MH by Gabbay in [4]. Proof-theoretic methods are used to show that every deduction can be normalized, that MH is the weakest intermediate logic for which the Glivenko theorem holds, and that the Craig-Lyndon interpolation theorem holds for it
Keywords Intermediate logic MH   normalization   Glivenko theorem   Craig-Lyndon interpolation theorem
Categories (categorize this paper)
DOI 10.2307/2274019
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 61,064
Through your library

References found in this work BETA

Natural Deduction: A Proof-Theoretical Study.Richmond Thomason - 1965 - Journal of Symbolic Logic 32 (2):255-256.
Foundations of Mathematical Logic.William Craig - 1963 - Journal of Symbolic Logic 45 (2):377-378.

Add more references

Citations of this work BETA

Normalization and Excluded Middle. I.Jonathan P. Seldin - 1989 - Studia Logica 48 (2):193 - 217.

View all 7 citations / Add more citations

Similar books and articles


Added to PP index

Total views
241 ( #39,142 of 2,439,696 )

Recent downloads (6 months)
1 ( #432,499 of 2,439,696 )

How can I increase my downloads?


My notes