Email this article Extensions of the Minimal Logic and the Interpolation Problem
- Authors: Maksimova L.L.1, Yun V.F.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 4 (2018)
- Pages: 681-693
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171971
- DOI: https://doi.org/10.1134/S0037446618040109
- ID: 171971
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Abstract
Under study is the interpolation problem over Johansson’s minimal logic J. We give a detailed exposition of the current state of this difficult problem, establish Craig’s interpolation property for several extensions of J, prove the absence of CIP in some families of extensions of J, and survey the results on interpolation over J. Also, the relationship is discussed between the interpolation properties and the recognizability of logics.
About the authors
L. L. Maksimova
Sobolev Institute of Mathematics
Author for correspondence.
Email: lmaksi@math.nsc.ru
Russian Federation, Novosibirsk
V. F. Yun
Sobolev Institute of Mathematics
Email: lmaksi@math.nsc.ru
Russian Federation, Novosibirsk
