Exact(32)
Life science was chosen as the focus domain.
The focus domain in 30 coincides with the focus associate.
Syntactically, hai adjoins to DegP, so the focus domain is DegP.
In the above sentences, hai adjoins to MPEpi and have MPEpi as the focus domain.
Thus, the focus domain can be AspP, IP, and MPEpi, which have the denotation of events, propositions, and possibilities, respectively.
The focus domain is the sister of hai and the focus associate should in the scope of hai.
Similar(28)
However, they, in fact, occur in different positions and have different focus domains and focus associates.
In the examples in 33, hais adjoin to MPEpi, so they have the same focus domains, namely, MPEpi.
The various meanings hai contributes actually result from different focus domains, different focus associates, and the alternatives the focus associates induced.
Following the theory of alternative semantics (Rooth 1985, 1992), I propose that the various interpretations of hai result from the interactions between the additive meaning and different focus domains and the alternatives evoked by the focus associate.
Cross-case comparison showed three focus domains.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com