Calculi over minimal logic and nonembeddability of algebras

被引：3
|
作者：
Maksimova, Larisa L'vovna [1 ,2 ]
Yun, Veta Fedorovna [1 ,2 ]
机构：
[1] Sobolev Inst Math, Pr Koptyuga 4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Pirogova Str 2, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷
关键词：
Minimal logic; Johansson algebra; Heyting algebra; superintuitionistic logic; calculus;
D O I：
10.17377/semi.2016.13.055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Algebraic semantics of the minimal logic J is constructed by using Johansson algebras (J-algebras). In this paper the description of Heyting algebras in terms of nonembeddability of J-algebras was found. As a corollary the characterization of superintuitionistic, wellcomposed and some other calculi in the class of various calculi over J was found. The central role is played by a special J-algebra M-0,M- omega, constructed and described in this paper.
引用
收藏
页码：704 / 715
页数：12
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