Stronger version of standard completeness theorem for MTL

نویسنده

  • Rostislav Horcík
چکیده

As it was shown in [7], Monoidal t-norm based logic (MTL) is a logic of left-continuous t-norms. In other words, this means that MTL enjoys the standard completeness theorem. In this paper we present a different proof of this theorem. In fact, we prove even more since we show that MTL is complete w.r.t. the class of standard MTL-algebras with finite congruence lattices or equivalently with finitely many Archimedean classes.

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تاریخ انتشار 2005