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Danish in Head-Driven Phrase Structure Grammar - German ...

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. Semantics<br />

()<br />

⎡<br />

⎤<br />

|| 1<br />

2 ⊕ 3<br />

4 ⊕ 5<br />

⎡ [ ] ⎤<br />

1 0<br />

⎡<br />

⎤<br />

0<br />

⟨<br />

⟩<br />

6<br />

2<br />

<br />

handle<br />

⎢⎣<br />

⎥⎦<br />

udef-rel<br />

⟨ ⎡ ⎤<br />

6 ⟩<br />

4<br />

⎢⎣ ⎢⎣<br />

7<br />

⎥⎦ ⎥⎦<br />

qeq<br />

⎡<br />

[ ] ⎤<br />

0<br />

||<br />

7<br />

⟨ ⎡ ⎤ ⎤<br />

7<br />

<br />

7 ⟩<br />

3<br />

⎢⎣<br />

0<br />

⎥⎦<br />

⎡⎢⎣<br />

, 0<br />

⎥⎦<br />

tired squirrel<br />

⎢⎣<br />

⎢⎣<br />

⎥⎦<br />

5 ⟨⟩<br />

⎥⎦<br />

e semantic content of the determ<strong>in</strong>er is <strong>in</strong>troduced constructionally <strong>in</strong> . It constist<br />

of the relation udef-rel ′ , which is a placeholder for the quantifier that corresponds<br />

to some or every <strong>in</strong> the case of overt determ<strong>in</strong>ers. e and values that are<br />

<strong>in</strong>troduced constructionally ( 2 and 4 ) are concatenated with the and values<br />

of the daughters ( 3 and 5 ).<br />

e Semantics Pr<strong>in</strong>ciple can now be specified as follows:<br />

Pr<strong>in</strong>ciple (Semantics Pr<strong>in</strong>ciple) e ma<strong>in</strong> semantic contribution of a phrase is identical<br />

to the value of |. e value is the concatenation of the value <strong>in</strong> <br />

and the concatenation of the values of the daughters. e value is the<br />

concatenation of the value <strong>in</strong> and the concatenation of the values of<br />

the daughters.<br />

.. Decomposition <strong>in</strong> Syntax vs. Underspecification<br />

An <strong>in</strong>terest<strong>in</strong>g application of the underspecification of scope constra<strong>in</strong>ts is the treatment<br />

of the ambiguity of (a).<br />

()<br />

a. dass Max alle Fenster aufmachte<br />

that Max all w<strong>in</strong>dows opened<br />

‘that Max opened all w<strong>in</strong>dows’<br />

b. ∀ x (w<strong>in</strong>dow(x) → CAUSE(max, open(x)))<br />

Dra of October , , :

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