Download PDFOpen PDF in browserAlmost structural completeness; an algebraic approach3 pages•Published: July 28, 2014AbstractThe notion of structural completeness has received considerable attention for many years. A translating to algebra gives: a quasivariety is structurally complete if it is generated by its free algebras. It appears that many deductive systems (quasivarieties), like S5 or MV<sub>n</sub> fails structural completeness for a rather immaterial reason. Therefore the adjusted notion was introduced: almost structural completeness. We investigate almost structural completeness from an algebraic perspective and obtain a characterization of this notion for quasivarieties.Keyphrases: almost structural completeness, equationally definable principal relative congruences, finite model property, quasivarieties In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 61-63.
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