So we can rewrite P (p|k, c, l=1) as follows: Moreover, we assume that (1) given p and c's context, the probability of c being the antecedent of p is not affected by the context of the other candidate antecedents; and (2) k c is sufficient for determining whether c is the antecedent of p. So, Furthermore, we assume that given context k, each candidate antecedent of p is generated with equal probability.
given Equations (2), (3), (4) and (5), we can rewrite P (l=1|p, k, c) as: As we can see from Equation (6), our model has two groups of parameters, namely P (p a |c a , l=1) and P (l=1|k c ).