Name of an operation that joins words into phrases

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Is there a name for an operation that joins words into phrases? Like, given 'gray' and 'cat' the operation *(gray, cat) = 'gray cat'. It's not concatenation, because I'm not seeking 'graycat', but 'gray cat'.

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There is no such operation name. However, I would suggest "interstitial concatenation" if you like, since we are adding the "interstice" blank space between the words. Alternatively, "lacunar concatenation" would sound nice.