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

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Stabler - Lx 185/209 2003<br />

(12) -s the king laugh<br />

which will be discussed in §17. This string “triggers do-support.”<br />

10.2.2 Affix hopping<br />

The grammar <strong>of</strong> §10.2.1 does not derive the simple tensed clause: the king eat -s the pie. The problem is that if<br />

we simply allow the verb eat to pick up this inflecti<strong>on</strong> by head movement to T, as the auxiliary verbs do, then<br />

we will mistakenly also derive *eat -s the king the pie. Also, assuming that will fills T ,thereareVPmodifiers<br />

that can follow T<br />

He will completely solve the problem.<br />

So if the verb moves to the T affix -s, we would expect to find it before such a modifier, which is not what we<br />

find:<br />

He completely solve -s the problem.<br />

* He solve -s completely the problem.<br />

Since Chomsky (1957), <strong>on</strong>e comm<strong>on</strong> proposal about this is that when there is no auxiliary verb, the inflecti<strong>on</strong><br />

can lower to the main verb. This lowering is sometimes called “affix hopping.” In the present c<strong>on</strong>text, it is<br />

interesting to notice that <strong>on</strong>ce the head <strong>of</strong> unmerged phrases is distinguished for head movement, no further<br />

comp<strong>on</strong>ents are required for affix hopping.<br />

We can formalize this idea in our grammars as follows. We introduce two new kinds <strong>of</strong> features (for any f ∈ B), and we add the following additi<strong>on</strong>al cases to definiti<strong>on</strong> <strong>of</strong> merge:<br />

ɛ, s, ɛ :: f =>γ ts,th,tc · f,α1,...,αk<br />

ɛ, ɛ, tsthstc : γ,α1,...,αk<br />

ɛ, s, ɛ :: γ,α1,...,αk<br />

ɛ, ɛ, tssthtc : γ,α1,...,αk<br />

ts,th,tc · fδ,ι1,...,ιl<br />

ɛ, ɛ, ɛ : γ,tsthstc : δ, α1,...,αk,ι1,...,ιl<br />

ɛ, s, ɛ :: +k T<br />

It is left as an exercise for the reader to verify that the set <strong>of</strong> strings <strong>of</strong> category C now allows main verbs to be<br />

inflected but not fr<strong>on</strong>ted, as desired:<br />

(13) the king eat -s the pie<br />

(14) *eat -s the king the pie<br />

46 (Sportiche, 1998b, 382) points out that the proposal in (Chomsky, 1993) for avoiding affix hopping also has the c<strong>on</strong>sequence that<br />

affixes <strong>on</strong> main verbs in English can <strong>on</strong>ly occur in the c<strong>on</strong>figurati<strong>on</strong> where head movement would also have been possible.<br />

205

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