On the Finite Strong Completeness of NM

Qiong Zhang · Dianzi xuebao · 2010

Having researched further into the NM system(Nilpotent Minimum ukasiewicz Logic),the strong completeness of NM is discussed.The properties of NM-chain are studied and it is proved that each NM-chain is partially embeddable intoJ.The finite strong completeness theorem of NM is investigated by means of the partially embeddable property.It points out that NM does not enjoy the strong completeness about infinite theory.

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