An Extension of a Logical Inverse Matrix

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概要

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• Matrix representations are used in two valued logics as well as in linear algebra. After the description of operations on the matrix representations (called a logical matrix) in two valued logics, an inverse matrix of the logical matrix is considered. Definitions of a right and left logical inverse matrices and a logical inverse matrix are described, and the necessary and sufficient conditions on their existence in the case of a truth valued logical matrix are described, which have been obtained by Professor Motinori Goto. The author proposes an extended concept on the logical inverse matrix and gives a general solution of the extended logical inverse^ matrix (called a generalized logical inverse matrix) corresponding to an arbitrary (1, n) logical matrix as an example. Consequently it becomes known there exist always the generalized logical inverse matrices of an arbitrary (1, n) logical matrix, and the general form of 2^n general solutions can be obtained.

• 明治大学の論文

著者

• OHTAKE Masamitsu

  明治大学

関連論文

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• An Extension of a Logical Inverse Matrix

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