Orthogonal to the formal semantics of DCS, distributional vector representations are useful in capturing lexical semantics of words (Turney and Pantel, 2010;Levy et al., 2015), and progress is made in combining the word vectors to form meanings of phrases/sentences (Mitchell and Lapata, 2010; Baroni and Zamparelli, 2010;Grefenstette and Sadrzadeh, 2011;Socher et al., 2012;Paperno et al., 2014;Hashimoto et al., 2014).
less effort is devoted to finding a link between vector-based compositions and the composition operations in any formal semantics.