A negative solution of Kuznetsov’s problem for varieties of bi-Heyting algebras
نویسندگان
چکیده
In this paper, we show that there exist (continuum many) varieties of bi-Heyting algebras are not generated by their complete members. It follows extensions the Heyting–Brouwer logic [Formula: see text] topologically incomplete. This result provides further insight into long-standing open problem Kuznetsov yielding a negative solution reformulation from to text].
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ژورنال
عنوان ژورنال: Journal of Mathematical Logic
سال: 2022
ISSN: ['0219-0613', '1793-6691']
DOI: https://doi.org/10.1142/s0219061322500131