We show that the equational theory of representable lattice-ordered residuated semigroups is not finitely axiomatizable. We apply this result to the problem of completeness of su...
Birkhoff (quasi-)variety categorical axiomatizability results have fascinated many scientists by their elegance, simplicity and generality. The key factor leading to their generali...
We present a complete axiomatization of test algebra ( 24, 18, 29]), the two-sorted algebraic variant of Propositional Dynamic Logic (PDL, 21, 7]). The axiomatization consists of ...