Almost structural completeness; an algebraic approach
Wojciech Dzik, Michał M. Stronkowski · EPiC series in computing · 2018
The 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 MVn 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.