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Lexicalized Tree-Adjoining Grammars (LTAG) - ad-teaching.infor...

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Chart Items<br />

The algorithm stores intermediate results in a set of items called chart.<br />

Each item contains a dotted elementary tree and the corresponding range<br />

of the input string which has been recognized (by this item).<br />

Definition (Chart Item)<br />

An item is an 8-tuple [γ, <strong>ad</strong>r, pos, i, j, k, l, <strong>ad</strong>j]<br />

where<br />

γ ∈ I ∪ A is an elementary tree.<br />

<strong>ad</strong>r is the Gorn <strong>ad</strong>dress of a node in γ.<br />

pos ∈ {la, lb, rb, ra} is a relative position.<br />

i, j, k, l are indices on the input string.<br />

i, l delimit the range spanned by the<br />

dotted node and its left sibling nodes.<br />

j, k delimit the gap below the foot note if<br />

it exists. Otherwise their values are −.<br />

<strong>ad</strong>j ∈ {⊥, ⊤} is a boolean indicating<br />

whether an <strong>ad</strong>junction has been<br />

recognized at <strong>ad</strong>dress <strong>ad</strong>r in γ.<br />

X<br />

X0<br />

(γ)<br />

... ...<br />

X 1<br />

... X y ... X z<br />

c ... i+1<br />

X<br />

c j c ... k+1 c l<br />

c ... j+1<br />

c k<br />

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