We prove that the partially ordered set L^{k + 1}_k of all closed classes of (k + 1)-valued logic that can be homomorphically mapped onto k-valued logic has the cardinality of continuum.

中文翻译：

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可以同态映射到P k的封闭类P k + 1的集合具有连续性

我们证明，可以同态映射到k值逻辑的（k +1）值逻辑的所有闭合类的部分有序集L ^{k +1} _k 具有连续体的基数。