The De Morgan Negation on Bi-Approximation Semantics: the dual representation of unbounded ortholattices

نویسنده

  • Tomoyuki Suzuki
چکیده

In this paper, we have established bi-approximation semantics for lattice-based logics with the De Morgan negation (unbounded orthologic), and their morphisms. In addition, we have discussed the dual representation between unbounded ortholattices with strict homomorphisms and polarity frames and d-morphisms. Apart from the abstract construction of dual algebras in the series of the present author’s publications, in this paper, we have investigated a concrete construction by means of product powerset posets.

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تاریخ انتشار 2013