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離散數學›Ch10 偏序集、格、布林代數與命題邏輯
第 12 題／共 18 題
◀ LS 12/18
12. Equivalence Relation、Logical Connectives、Biconditional
#LS-10-012中Equivalence RelationLogical ConnectivesBiconditional
題組題幹（本題：4，共 4 小題）點擊展開

For questions 1–4, matrix A\mathbf{A} describes a binary relation R\mathbf{R} (rows and columns correspond to elements 1 to 6).

A=[000001001110000110000110000000000001]\mathbf{A} = \begin{bmatrix} 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{bmatrix}

Let S\mathbf{S} be the symmetric and reflexive closure of R\mathbf{R} and each element is a proposition. If S\mathbf{S} reflects Boolean operators' behavior, what are possible operators?

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