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Notes on computational linguistics.pdf - UCLA Department of ...

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Stabler - Lx 185/209 2003<br />

which we can abbreviate unambiguously by the lexical sequence<br />

ɛ::=T C -s::v=> +k T ɛ::=>V =D v have::=D +k V a::=Num D -k ɛ::=N Num car::N I::D -k<br />

or, for c<strong>on</strong>venience, even more briefly with something like:<br />

C(-s(v(have(a(Num(car))),I))) or even have(a(car),I).<br />

These structures cannot generally be translated into the first order predicate calculus, since they can have<br />

n<strong>on</strong>-first-order quantifiers like most, modal operators like tense, etc.<br />

Another respect in which the syntactic structures differ from the <strong>on</strong>es c<strong>on</strong>sidered by Jurafsky and Martin is<br />

that their structures refer to “havers” and “had things”. That idea is similar to the proposal that we should<br />

be able to recognize the subject <strong>of</strong> have as the “agent” and the object is the “theme.”<br />

In transformati<strong>on</strong>al grammar, it is <strong>of</strong>ten proposed that these semantic, “thematic” roles <strong>of</strong> the arguments<br />

<strong>of</strong> a predicate should be identifiable from the structure. A str<strong>on</strong>g form <strong>of</strong> this idea was proposed by Baker<br />

(1988) for example, in something like the following form:<br />

Uniformity <strong>of</strong> Theta Assignment Hypothesis (UTAH): identical thematic relati<strong>on</strong>ships between items are<br />

represented by identical structural relati<strong>on</strong>ships between those items in the positi<strong>on</strong>s where they are<br />

selected (before movement).<br />

So for example, we might propose<br />

(H) the specifier <strong>of</strong> v is always the agent <strong>of</strong> the V that v selects.<br />

(Actually, the proposal will need to be a little more complex that this, but let’s start with this simple idea).<br />

A potential problem for this simple proposal comes with verbs that exhibit what is sometimes called the<br />

“causative alternati<strong>on</strong>”:<br />

a. i. Titus break -s the vase<br />

ii. The vase break -s<br />

b. i. Titus open -s the window<br />

ii. The window open -s<br />

c. i. The wind clear -s the sky<br />

ii. The sky clear -s<br />

In the a examples, the subject is the agent and the object is the theme, as usual, but the b examples cause<br />

a problem for H and UTAH, because there, it seems, the subject is the theme.<br />

This problem for H and UTAH can be avoided if we assume that the single argument forms are not simple<br />

intransitives like laugh, but are a different class <strong>of</strong> verb, where the verb selects just an object, not a subject.<br />

One way to have this happen is to provide lexical entries that will generate trees like this:<br />

257

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