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Logical matrices with equality determinant

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Description

The present work provides an (effective) algebraic characterization of (finite) matrices (of finite signatures) with [{canonical}/ parameter-less/unitary] equality determinant as those [with submatrices] without non-diagonal congruences /[and isomorphisms between them]. Due to absence of non-diagonal isomorphisms between submatrices of super-classical matrices, proved to define exactly three-valued logics with sub-classical negation - viz., those with negation fragment being a sub-logic of the one of the classical logic, the characterization is simplified for such matrices, making all their logics - i.e., three-valued ones with sub-classical negation - covered by the generic approach elaborated in an earlier work of ours.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
17 June 2025
Listed Since
18 June 2025

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