We assume the probability of each span is independent: We break this distribution into three cases.
to help describe the separate cases we define the function origin(s, C) to determine the origin index of the connection in C to the span s. origin(s k ij , C) = o ⇔ ∃(o, i, j, k, t syn , t sem ) ∈ C. Part-composite model When the encompassing argument is a food and the origin is a previous verb (i.e., P (s k ij |t syn ij , t sem ij = f ood, origin(s k ij ) = 0, C, h i )), then the probability of the span depends on the ingredients that the span represents given the connections in C. For example, "dressing" is more likely given ingredients "oil" and "vinegar" than given "chicken" and "noodles".