Free weak nilpotent minimum algebras

We give a combinatorial description of the finitely generated free weak nilpotent minimum algebras and provide explicit constructions of normal forms.© 2016, Springer-Verlag Berlin Heidelberg.The second author is supported by the FWF Austrian Science Fund (Parameterized Compilation, P26200). The third author is supported by a Marie Curie INdAM-COFUND Outgoing Fellowship.Peer Reviewe