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  1. Hyper-MacNeille Completions of Heyting Algebras.J. Harding & F. M. Lauridsen - 2021 - Studia Logica 109 (5):1119-1157.
    A Heyting algebra is supplemented if each element a has a dual pseudo-complement \, and a Heyting algebra is centrally supplement if it is supplemented and each supplement is central. We show that each Heyting algebra has a centrally supplemented extension in the same variety of Heyting algebras as the original. We use this tool to investigate a new type of completion of Heyting algebras arising in the context of algebraic proof theory, the so-called hyper-MacNeille completion. We show that the (...)
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