Then, for instance, in the sentence: •(3)John talks to Mary with logical form •(4) talk-communicative-act(e,x,y), john(x), comm-to(y), mary(y) the verb talks has two arguments, the NP subject John, and the PP to Mary, as represented in the logical form associated with the verb, where the PP is the second argument and as such should be included in the subcategorisation frame of the verb: (S\NP)/PP.
in the sentence: •(5)Bob eats with a fork with logical form •(6) eat-ingest-act(e,x), bob(x), instrwith(e,y), a(y), fork(y) the PP with a fork is not an argument of the verb eat as reflected in its logical form and should not be included in its subcategorisation frame, which is S\NP.