 Assuming the language under discussion has a grammar that requires that each constituent of a meaningful complex expression be itself meaningful (S\(_{\textit{plural}}\)) is stronger than  (C)—it  is equivalent to local, distributive, language bound compositionality of meaning. Assuming in addition that the language satisfies  (H),  (S\(_{\textit{singular}}\)) is equivalent to (S\(_{\textit{plural}}\)); cf. Hodges (2001: Theorem 4).