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An algebraic proof is presented for the finite strong standard completenessof involutive uninorm logic with fixed point. The result may provide a firststep towards settling the open standard completeness problem for involutiveuninorm logic posed in [G. Metcalfe, F. Montagna: Substructural fuzzy logics,J. Symb. Logic, 72, 834-864 (2007)].

Involutive uninorm logic with fixed point enjoys finite strong standard completeness