In order to encode the MTT acting on derivation trees, we introduce a new abstract vocabulary Σ derθ for disambiguated derivation trees as in (Yoshinaka, 2006 to love is used to model sentences where both adjunctions are performed into γ to love . C 10 to love and C 01 to love are used for sentences where only one adjunction at the s or at the vp node occurs respectively. C 00 to love : np np s is used when no adjunction occurs. 6 This really mimics (Yoshinaka, 2006) 's encoding of<cite> (Kallmeyer and Kuhlmann, 2012)</cite> MTT rules: . . . are designed in order to indicate that a given adjunction has n adjunctions above it (i.e. which scope over it).