Stabler - Lx 185/209 2003 replace\_node(A,DescA,B,DescB). (20) We now define substituti<strong>on</strong>. As observed earlier, this kind <strong>of</strong> movement involves two basic node replacement steps. For this reas<strong>on</strong>, it is c<strong>on</strong>venient to define a relati<strong>on</strong> which holds between root nodes after two such steps. We define twice_replace_node(A, DA1, DA2, B, DB1, DB2) to hold iff node B is formed by changing two distinct descendants in distinct subtrees <strong>of</strong> A as follows: (i) replacing DA1 in <strong>on</strong>e subtree <strong>of</strong> A by the empty category DB1, and (ii) replacing DA2 by DB2 in another subtree <strong>of</strong> A. This is easily d<strong>on</strong>e. twice_replace_node(A, DA1, DA2, B, DB1, DB2) :label(A, Label), label(B, Label), children(A, ChildrenA), children(B, ChildrenB), twice_replace_nodes(ChildrenA, DA1, DA2, ChildrenB, DB1, DB2). twice_replace_nodes([A|As], DA1, DA2, [B|Bs], DB1, DB2) :replace_node(A, DA1, B, DB1), replace_nodes(As, DA2, Bs, DB2). twice_replace_nodes([A|As], DA1, DA2, [B|Bs], DB1, DB2) :replace_node(A, DA2, B, DB2), replace_nodes(As, DA1, Bs, DB1). twice_replace_nodes([A|As], DA1, DA2, [B|Bs], DB1, DB2) :twice_replace_node(A, DA1, DA2, B, DB1, DB2), iso_subtrees(As, Bs). twice_replace_nodes([A|As], DA1, DA2, [B|Bs], DB1, DB2) :iso_subtree(A, B), twice_replace_nodes(As, DA1, DA2, Bs, DB1, DB2). Now we define the special linguistic requirements <strong>of</strong> the substituti<strong>on</strong> operati<strong>on</strong>, using a basic relati<strong>on</strong> substituti<strong>on</strong> and several auxiliary definiti<strong>on</strong>s which define the relati<strong>on</strong>ships am<strong>on</strong>g the nodes that are involved: the moved node, the landing site, and the trace. 22 substituti<strong>on</strong>(OldRoot, NewRoot, MovedNode, Trace) :root(OldRoot), root(NewRoot), subst_landing(OldNode, EmptyNode), subst_moving(OldNode, MovedNode), trace(OldNode, Trace), twice_replace_node(OldRoot, OldNode, EmptyNode, NewRoot, Trace, MovedNode), copy_phi_features(OldNode, Trace0), add_feature(Trace0, index, I, Trace), copy_psi_features(OldNode, MovedNode0), add_feature(MovedNode0, index, I, MovedNode). % subst_moving(OldNode, MovedNode) iff OldNode and MovedNode have same % Cat,Bar,Level,EP features subst_moving(OldNode, MovedNode) :category(OldNode, Cat), category(MovedNode, Cat), barlevel(OldNode, Bar), barlevel(MovedNode, Bar), extended(OldNode, EP), extended(MovedNode, EP), c<strong>on</strong>tents(OldNode, C<strong>on</strong>tents), c<strong>on</strong>tents(MovedNode, C<strong>on</strong>tents). % subst_landing(OldNode, EmptyNode) iff OldNode and EmptyNode have same % Cat,Bar features, and EmptyNode is a visible n<strong>on</strong>terminal with % no children and no features subst_landing(OldNode, EmptyNode) :category(OldNode, Cat), category(EmptyNode, Cat), barlevel(OldNode, Bar), barlevel(EmptyNode, Bar), children(EmptyNode, []), features(EmptyNode, []), visible(EmptyNode). % trace(OldNode, Trace) iff OldNode and Trace have same Cat,Bar,EP features, % and Trace is a n<strong>on</strong>terminal with no children. trace(OldNode, Trace) :category(OldNode, Category), category(Trace, Category), barlevel(OldNode, Barlevel), barlevel(Trace, Barlevel), extended(OldNode, EP), extended(Trace, EP), 22 The requirement that the empty node which is that landing site <strong>of</strong> the substituti<strong>on</strong> have no features may be overly stringent. (This requirement is here imposed by the predicate subst_landing.) We could just require that the landing site have no index feature – prohibiting a sort <strong>of</strong> “trace erasure” (Freidin, 1978). If we remove the restricti<strong>on</strong> <strong>on</strong> the landing site features altogether, the character <strong>of</strong> the system changes rather dramatically though, since it becomes possible to have “cycling” derivati<strong>on</strong>s <strong>of</strong> arbitrary length as discussed in Stabler (1992, §14.3). In the system described here, neither a trace nor a moved node can be a landing site. 69
Stabler - Lx 185/209 2003 children(Trace, []). % visible(Node) iff Node is maximal or minimal, and not a proper segment visible(Node) :- extended(Node, -), barlevel(Node, 2). visible(Node) :- extended(Node, -), barlevel(Node, 0). The predicate copy_phi_features, and the similar copy_psi_features are easily defined using our earlier predicate copy_features: phi_features([pers<strong>on</strong>, number, case, wh, index, th, finite]). psi_features([pers<strong>on</strong>, number, case, wh, index, th, finite, pr<strong>on</strong>ominal, anaphoric]). copy_phi_features(Node0, Node) :features(Node0, Features0), features(Node, Features), phi_features(Phi), copy_features(Phi, Features0, Features). copy_psi_features(Node0, Node) :features(Node0, Features0), features(Node, Features), psi_features(Psi), copy_features(Psi, Features0, Features). (21) With these definiti<strong>on</strong>s, substituti<strong>on</strong> cannot apply to the tree: x(i,2,[],-) x(d,2,[],-) juliet (22) The following tree, <strong>on</strong> the other hand, allows exactly <strong>on</strong>e substituti<strong>on</strong>: x(i,2,[],-) x(d,2,[],-) x(d,2,[],-) hamlet To avoid typing in the term that denotes this tree all the time, let’s add the axiom: tree(1, x(i,2,[],-)/[ x(d,2,[],-)/[], x(d,2,[],-)/ -hamlet ]). Then we can compute the substituti<strong>on</strong> with a sessi<strong>on</strong> like this: | ?- tree(1,T),subtree(N,T),substituti<strong>on</strong>(N,NewN,Moved,Trace),subtree(NewN,NewT),tk_tree(NewT). N = n(root,x(i,2,[],-)/[x(d,2,[],-)/[],x(d,2,[],-)/ -(hamlet)],n<strong>on</strong>e), T = x(i,2,[],-)/[x(d,2,[],-)/[],x(d,2,[],-)/ -(hamlet)], NewN = n(root,x(i,2,[],-)/[x(d,2,[index:_A],-)/ -(hamlet),x(d,2,[index:_A],-)/[]],n<strong>on</strong>e), NewT = x(i,2,[],-)/[x(d,2,[index:_A],-)/ -(hamlet),x(d,2,[index:_A],-)/[]], Moved = n(1,x(d,2,[index:_A],-)/ -(hamlet),n(root,x(i,2,[],-)/[x(d,2,[index:_A],-)/ -(hamlet),x(d,2,[index:_A],-)/[]],n<strong>on</strong>e)), Trace = n(2,x(d,2,[index:_A],-)/[],n(root,x(i,2,[],-)/[x(d,2,[index:_A],-)/ -(hamlet),x(d,2,[index:_A],-)/[]],n<strong>on</strong>e)) ? yes And the tree NewT gets displayed: x(d,2,[index:A],-) hamlet x(i,2,[],-) 70 x(d,2,[index:A],-)
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Notes on computati
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Stabler - Lx 185/209 2003 Linguisti
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Stabler - Lx 185/209 2003 1 Setting
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Stabler - Lx 185/209 2003 10.5 Summ
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Stabler - Lx 185/209 2003 10.5.1 Re
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Stabler - Lx 185/209 2003 Exercises
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Stabler - Lx 185/209 2003 10.6.3 Mu
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Stabler - Lx 185/209 2003 Example:
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Stabler - Lx 185/209 2003 15.1 Mono
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Stabler - Lx 185/209 2003 Example:
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Stabler - Lx 185/209 2003 16 Harder
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Stabler - Lx 185/209 2003 17.2.1 A
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Stabler - Lx 185/209 2003 Exercises
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Stabler - Lx 185/209 2003 Reference
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Stabler - Lx 185/209 2003 Cornell,
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Stabler - Lx 185/209 2003 Kraft, L.
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Index (x, y), openintervalfromx to
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