Deciding origin equivalence of weakly self-nesting macro tree transducers

•Deciding Origin Equivalence of Weakly Self-Nesting Macro Tree Transducers Sebastian Maneth, Helmut Seidl.•For unrestricted deterministic Macro Tree Transducers with unary input symbols origin equivalence is shown to be as difficult as equivalence.•For a natural subclass of deterministic MTTs on the other hand, we show that origin injectivity as well as origin equivalence is decidable.•This is one of the first natural subclasses of MTTs for which such decidability results have been obtained.