Two models that show the interpolation theorem fails in all L1(Qα) and L1,1 (Qα) α= 0,1,2,…
Department
Mathematics
Document Type
Article
Publication Source
Bulletin of the London Mathematical Society
Publication Date
1992-01-01
Volume
24
Issue
4
First Page
305
Last Page
308
Abstract
The logics L1(Q), L1,1(Q) and L2(Q) are formed by adding quantifiers Q, Q1,1 and Q2 respectively to the first-order logic. In this paper, for each ordinal α (including α = 0), we construct two Qa models to prove that the Interpolation Theorem fails in L(Q) and L1,1(Q). © 1992, Oxford University Press. All rights reserved.
DOI
10.1112/blms/24.4.305
Recommended Citation
Talebi, Norollah, "Two models that show the interpolation theorem fails in all L1(Qα) and L1,1 (Qα) α= 0,1,2,…" (1992). Articles & Book Chapters. 448.
https://digitalcommons.daemen.edu/faculty_scholar/448
https://doi.org/10.1112/blms/24.4.305