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

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Stabler - Lx 185/209 2003<br />

(37) With these foundati<strong>on</strong>s, it is easy to formalize i_command – sometimes called c-command:<br />

α i-commands β iff α is immediately dominated by an ancestor <strong>of</strong> β, andα = β.<br />

This is equivalent to the earlier formulati<strong>on</strong>, since if the immediately dominating parent <strong>of</strong> Commander<br />

dominates Node, then every node dominating Commander dominates Node. In our formal notati<strong>on</strong>:<br />

i_commands(Commander,Node) :- dominates(Ancestor,Node), imm_dominates(Ancestor,Commander), \+ Commander=Node.<br />

(38) C<strong>on</strong>sider the top left tree in 31. In this tree, the root IP has adjoined to itself, c<strong>on</strong>sequently, the moved<br />

c<strong>on</strong>stituent has no sister. In fact, the node labeled x(i,2,[index:A],-) has no sister. The first<br />

(39)<br />

node that dominates it is the adjuncti<strong>on</strong> structure, and that adjuncti<strong>on</strong> structure does not immediately<br />

dominate any other node. The trace is itself part <strong>of</strong> an extended adjuncti<strong>on</strong> structure, and has no sister,<br />

and no i-commander.<br />

We now have enough to define noti<strong>on</strong>s like L-marking, L-dependence, barriers, interventi<strong>on</strong> and government.<br />

5.3.5 C<strong>on</strong>clusi<strong>on</strong> and prospects<br />

(40) The tree manipulati<strong>on</strong>s and relati<strong>on</strong>s defined in this secti<strong>on</strong> are not trivial, but they are fully explicit<br />

and implemented for computati<strong>on</strong>. 23<br />

(41) In the minimalist program, there are simpler approaches to movement that will be discussed in §9.1-§??,<br />

below.<br />

23 The formalizati<strong>on</strong> <strong>of</strong> movement relati<strong>on</strong>s in Rogers (1999) and in Kracht (1998) are mathematically more elegant, and it would be<br />

interesting to c<strong>on</strong>sider whether an implementati<strong>on</strong> <strong>of</strong> these formalizati<strong>on</strong>s could be nicer than the <strong>on</strong>es given here.<br />

74

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