Syntax Bush

[flwyd]

Is there a sensible syntax tree for A rose is a rose is a rose? The parse that makes most sense to me is
{a rose is [a rose} is (a rose])
which is not a tree. But the parse
((a rose) is ((a rose) is (a rose)))
is NP is VP at the top level, and that's not generally grammatical (e.g., "Obama is the president lives in the White House").