File size: 69,221 Bytes
6fa4bc9
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
{
    "paper_id": "P99-1012",
    "header": {
        "generated_with": "S2ORC 1.0.0",
        "date_generated": "2023-01-19T09:32:12.151948Z"
    },
    "title": "Preserving Semantic Dependencies in Synchronous Tree Adjoining Grammar*",
    "authors": [
        {
            "first": "William",
            "middle": [],
            "last": "Schuler",
            "suffix": "",
            "affiliation": {
                "laboratory": "",
                "institution": "University of Pennsylvania",
                "location": {
                    "addrLine": "200 South 33rd Street Philadelphia",
                    "postCode": "19104",
                    "region": "PA",
                    "country": "USA"
                }
            },
            "email": "schuler@linc@cis.upenn"
        }
    ],
    "year": "",
    "venue": null,
    "identifiers": {},
    "abstract": "Rambow, Wier and Vijay-Shanker (Rainbow et al., 1995) point out the differences between TAG derivation structures and semantic or predicateargument dependencies, and Joshi and Vijay-Shanker (Joshi and Vijay-Shanker, 1999) describe a monotonic compositional semantics based on attachment order that represents the desired dependencies of a derivation without underspecifying predicate-argument relationships at any stage. In this paper, we apply the Joshi and Vijay-Shanker conception of compositional semantics to the problem of preserving semantic dependencies in Synchronous TAG translation (Shieber and Schabes, 1990; Abeill~ et al., 1990). In particular, we describe an algorithm to obtain the semantic dependencies on a TAG parse forest and construct a target derivation forest with isomorphic or locally non-isomorphic dependencies in O(n 7) time.",
    "pdf_parse": {
        "paper_id": "P99-1012",
        "_pdf_hash": "",
        "abstract": [
            {
                "text": "Rambow, Wier and Vijay-Shanker (Rainbow et al., 1995) point out the differences between TAG derivation structures and semantic or predicateargument dependencies, and Joshi and Vijay-Shanker (Joshi and Vijay-Shanker, 1999) describe a monotonic compositional semantics based on attachment order that represents the desired dependencies of a derivation without underspecifying predicate-argument relationships at any stage. In this paper, we apply the Joshi and Vijay-Shanker conception of compositional semantics to the problem of preserving semantic dependencies in Synchronous TAG translation (Shieber and Schabes, 1990; Abeill~ et al., 1990). In particular, we describe an algorithm to obtain the semantic dependencies on a TAG parse forest and construct a target derivation forest with isomorphic or locally non-isomorphic dependencies in O(n 7) time.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Abstract",
                "sec_num": null
            }
        ],
        "body_text": [
            {
                "text": "The primary goal of this paper is to solve the problem of preserving semantic dependencies in Isomorphic Synchronous Tree Adjoining Grammar (ISTAG) Shieber and Schabes, 1990 ), a variant of Tree Adjoining Grammar (Joshi, 1985) in which source and target elementary trees are assembled into isomorphic derivations. The problem, first described in Rambow, Wier and Vijay-Shanker (Rainbow et al., 1995) , stems from the fact that the TAG derivation structure -even using a flat adjunction of modifiers (Schabes and Shieber, 1994) -deviates from the appropriate dependency *The author would like to thank Karin Kipper, Aravind Joshi, Martha Palmer, Norm Badler, and the anonymous reviewers for their valuable comments. This work was partially supported by NSF Grant SBP~8920230 and ARO Grant DAAH0404-94-GE-0426. structure in certain cases. This can result in translation errors.",
                "cite_spans": [
                    {
                        "start": 148,
                        "end": 173,
                        "text": "Shieber and Schabes, 1990",
                        "ref_id": "BIBREF11"
                    },
                    {
                        "start": 213,
                        "end": 226,
                        "text": "(Joshi, 1985)",
                        "ref_id": "BIBREF4"
                    },
                    {
                        "start": 346,
                        "end": 399,
                        "text": "Rambow, Wier and Vijay-Shanker (Rainbow et al., 1995)",
                        "ref_id": null
                    },
                    {
                        "start": 499,
                        "end": 526,
                        "text": "(Schabes and Shieber, 1994)",
                        "ref_id": "BIBREF9"
                    },
                    {
                        "start": 615,
                        "end": 661,
                        "text": "Aravind Joshi, Martha Palmer, Norm Badler, and",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "For example, if we parse sentence (1),",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "(1) X is supposed to be able to fly.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "using the trees in Figure 1 , we get the following derivation:l a:fly I 131 :be-able-to(VP) I j32:is-supposed-to (VP) with the auxiliary is-supposed-to adjoining at the VP to predicate over be-able-to and the auxiliary be-able-to adjoining at the VP to predicate over fly. If we then try to assemble an isomorphic tree in a language such as Portuguese (which makes less use of raising verbs) using the ISTAG transfer rules in Figure 2 , we will be forced into an ill-formed derivation:",
                "cite_spans": [
                    {
                        "start": 113,
                        "end": 117,
                        "text": "(VP)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [
                    {
                        "start": 19,
                        "end": 27,
                        "text": "Figure 1",
                        "ref_id": null
                    },
                    {
                        "start": 426,
                        "end": 434,
                        "text": "Figure 2",
                        "ref_id": "FIGREF1"
                    }
                ],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": ": voar",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": ";31 :~-capaz-de (VP) I /~2 :~-pressuposto-que (S ?) because the raising construction is-supposedto translates to a bridge construction dpressuposto-que and cannot adjoin anywhere in the tree for ~-capaz-de (the translation of beable-to) because there is no S-labeled adjunction site.",
                "cite_spans": [
                    {
                        "start": 46,
                        "end": 51,
                        "text": "(S ?)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "The correct target derivation: a:voar ~l:~-capaz-de(VP) ~2:~-pressuposto-que (S) 1The subject is omitted to simplify the diagram. Figure 1 : Sample elementary trees for \"supposed to be able to fly\" which yields the translation in sentence (2),",
                "cite_spans": [
                    {
                        "start": 77,
                        "end": 80,
                        "text": "(S)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [
                    {
                        "start": 130,
                        "end": 138,
                        "text": "Figure 1",
                        "ref_id": null
                    }
                ],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "(2) t~ pressuposto que X 6 capaz de voar.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "is not isomorphic to the source. Worse, this non-isomorphism is unbounded, because the bridge verb pressuposto may have to migrate across any number of intervening raising verbs to find an ancestor that contains an appropriate adjunction site: This sort of non-local non-isomorphic transfer cannot be handled in a synchronous TAG that has an isomorphism restriction on derivation trees\u2022 On the other hand, we do not wish to return to the original non-local formulation of synchronous TAG (Shieber and because the non-local inheritance of links on the derived tree is difficult to implement, and because the non-local formulation can recognize languages beyond the generative power of TAG. Rambow, Wier and Vijay-Shanker themselves introduce D-Tree Grammar (Rambow et al., 1995) and Candito and Kahane introduce the DTG variant Graph Adjunction Grammar (Candito and Kahane, 1998b) in order to solve this problem using a derivation process that mirrors composition more directly, but both involve potentially significantly greater recognition complexity than TAG.",
                "cite_spans": [
                    {
                        "start": 756,
                        "end": 777,
                        "text": "(Rambow et al., 1995)",
                        "ref_id": "BIBREF8"
                    },
                    {
                        "start": 852,
                        "end": 879,
                        "text": "(Candito and Kahane, 1998b)",
                        "ref_id": "BIBREF2"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "Our solution is to retain ISTAG, but move the isomorphism restriction from the derivation structure to the predicate-argument attachment structure described in (Joshi and Vijay-Shanker, 1999) . This structure represents the composition of semantic predicates for lexicalized elementary trees, each of which contains a 'predicate' variable associated with the situation or entity that the predicate introduces, and a set of 'argument' variables associated with the foot node and substitution sites in the original elementary tree. The predicates are composed by identifying the predicate variable in one predicate with an argument variable in another, so that the two variables refer to the same situation or entity.",
                "cite_spans": [
                    {
                        "start": 160,
                        "end": 191,
                        "text": "(Joshi and Vijay-Shanker, 1999)",
                        "ref_id": "BIBREF3"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Overview",
                "sec_num": "2"
            },
            {
                "text": "Composition proceeds from the bottom up on the derivation tree, with adjuncts traversed in order from the lowest to the highest adjunction site in each elementary tree, in much the same way that a parser produces a derivation. Whenever an initial tree is substituted, its predicate variable is identified in the composed structure with an argument variable of the tree it substitutes into. Whenever an auxiliary tree is adjoined, the predicate variable of the tree it adjoins into is identified in the composed structure with one of its own argument variables. In cases of adjunction, an auxiliary tree's semantics can also specify which variable will become the predicate variable of the composed structure for use in subsequent adjunctions at higher adjunction sites: a modifier auxiliary will return the host tree's original predicate variable, and a predicative auxiliary will return its own predicate variable. 2 Since the traversal must 2See (Schabes and Shieber, 1994) and assume the predicative auxiliary tree/31 :beable-to has a predicate variable s2, representing the situation of something being possible, and an argument variable s3, representing the thing that is possible. If fll is now adjoined into a, the composed structure would have sl identified with s3 (since the situation of flying is the thing that is possible), and s2 as an overall predicate variable, so if another tree later adjoins into this composed structure rooted on a, it will predicate over s2 (the situation that flying is possible) rather than over a's original predicate variable sl (the situation of flying by itself). Note that Joshi and Vijay-Shanker do not require the predicate and modifier distinctions, because they can explicitly specify the fates of any number of predicate variables in a tree's semantic representation. For simplicity, we will limit our discussion to only the two possibilities of predicative and modifier auxiliaries, using one predicate variable per tree. If we represent each such predicate-argument attachment as an arc in a directed graph, we can view the predicate-argument attachment structure of a derivation as a dependency graph, in much the same way as Candito and Kahane interpret the original derivation trees (Candito and Kahane, 1998a) . More importantly, we can see that this definition predicts the predicateargument dependencies for sentences (1) and 2 ",
                "cite_spans": [
                    {
                        "start": 948,
                        "end": 975,
                        "text": "(Schabes and Shieber, 1994)",
                        "ref_id": "BIBREF9"
                    },
                    {
                        "start": 2238,
                        "end": 2265,
                        "text": "(Candito and Kahane, 1998a)",
                        "ref_id": "BIBREF1"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Overview",
                "sec_num": "2"
            },
            {
                "text": "and Schabes (Shieber and Schabes, 1990) using Synchronous TAG, in that the former preserves the scope ordering of predicative adjunctions, which may be permuted in the latter, altering the meaning of the sentence. 3 It is precisely this scope-preserving property we hope to exploit in our formulation of a dependency-based isomorphic synchronous TAG in the next two sections. However, as Joshi and Vijay-Shanker suggest, the proper treatment of synchronous translation to logical form may require a multicomponent Synchronous TAG analysis in order to handle quantifiers, which is beyond the scope of this paper. For this reason, we will focus on examples in machine translation.",
                "cite_spans": [
                    {
                        "start": 4,
                        "end": 39,
                        "text": "Schabes (Shieber and Schabes, 1990)",
                        "ref_id": "BIBREF11"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "9{)",
                "sec_num": null
            },
            {
                "text": "Obtaining Source Dependencies",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "If we assume that this attachment structure captures a sentence's semantic dependencies, then in order to preserve semantic dependencies in synchronous TAG translation, we will need to obtain this structure from a source derivation and then construct a target derivation with an isomorphic structure.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "The first algorithm we present obtains semantic dependencies for derivations by keeping track of an additional field in each chart item during parsing, corresponding to the predicate variable from Section 2. Other than the additional field, the algorithm remains essentially the same as the parsing algorithm described in (Schabes and Shieber, 1994) , so it can be applied as a transducer during recognition, or as a post-process on a derivation forest (Vijay-Shanker and Weir, 1993). Once the desired dependencies are obtained, the forest may be filtered to select a single most-preferred tree using statistics or rule-based selectional restrictions on those dependencies. 4",
                "cite_spans": [
                    {
                        "start": 322,
                        "end": 349,
                        "text": "(Schabes and Shieber, 1994)",
                        "ref_id": "BIBREF9"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "For calculating dependencies, we define a function arg(~) to return the argument position associated with a substitution site or foot node ~? in elementary tree V. Let a dependency be defined as a labeled arc (\u00a2, l, ~b), from predicate \u00a2 to predicate \u00a2 with label I.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "\u2022 For each tree selected by \u00a2, set the predicate variable of each anchor item to \u00a2.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "3See (Joshi and Vijay-Shanker, 1999 ) for a complete description.",
                "cite_spans": [
                    {
                        "start": 5,
                        "end": 35,
                        "text": "(Joshi and Vijay-Shanker, 1999",
                        "ref_id": "BIBREF3"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "4See (Schuler, 1998) for a discussion of statistically filtering TAG forests using semantic dependencies.",
                "cite_spans": [
                    {
                        "start": 5,
                        "end": 20,
                        "text": "(Schuler, 1998)",
                        "ref_id": "BIBREF10"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "\u2022 For each substitution of initial tree a\u00a2 with predicate variable w into \"),\u00a2 at node address U, emit (\u00a2, arg(v , r/), w)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "\u2022 For each modifier adjunction of auxiliary tree/3\u00a2 into tree V\u00a2 with predicate variable X, emit (\u00a2, arg(p, FOOT), X) and set the predicate variable of the composed item to X.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "\u2022 For each predicative adjunction of auxiliary tree /3\u00a2 with predicate variable w into tree \"),\u00a2 with predicate variable X, emit (\u00a2, arg(/3, FOOT), X) and set the predicate variable of the composed item to w.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "\u2022 For all other productions, propagate the predicate variable up along the path from the main anchor to the root.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "Since the number of possible values for the additional predicate variable field is bounded by n, where n is the number of lexical items in the input sentence, and none of the productions combine more than one predicate variable, the complexity of the dependency transducing algorithm is O(nT).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "This algorithm can be applied to the example derivation tree in Section 1, a:fly I /31 :be-able-to(VP) I /32 :is-supposed-to(VP) which resembles the stacked derivation tree for Candito and Kahane's example 5a, \"Paul claims Mary said Peter left.\" First, we adjoin/32 :is-supposed-to at node VP of/31 :be-able-to, which produces the dependency (is-supposed-to,0,be-able-to}. Then we adjoin ~31:be-able-to at node VP of a:fly, which produces the dependency (be-able-to,0,fly). The resulting dependencies are represented graphi-Cally in the dependency structure below: \u00a20 :supposed-to This example is relatively straightforward, simply reversing the direction of adjunction dependencies as described in (Candito and Kahane, 1998a) , but this algorithm can transduce the correct isomorphic dependency structure for the Portuguese derivation as well, similar to the distributed derivation tree in Candito and Kahane's example 5b, \"Paul claims Mary seems to adore hot dogs,\" (Rambow et al., 1995) , where there is no edge corresponding to the dependency between the raising and bridge verbs: We begin by adjoining ~1 :g-capaz-de at node VP of c~:voar, which produces the dependency (~-capaz-de, 0,voar), just as before. Then we adjoin p2:~-pressuposto-que at node S of c~:voar. This time, however, we must observe the predicate variable of the chart item for c~:voar which was updated in the previous adjunction, and now references ~-capaz-de instead of voar. Because the transduction rule for adjunction uses the predicate variable of the parent instead of just the predicate, the dependency produced by the adjunetion of ~2 is (~-pressuposto-que, 0,~capaz-de), yielding the graph:",
                "cite_spans": [
                    {
                        "start": 699,
                        "end": 726,
                        "text": "(Candito and Kahane, 1998a)",
                        "ref_id": "BIBREF1"
                    },
                    {
                        "start": 968,
                        "end": 989,
                        "text": "(Rambow et al., 1995)",
                        "ref_id": "BIBREF8"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "As Candito and Kahane point out, this derivation tree does not match the dependency structure of the sentence as described in Meaning Text Theory (Mel'cuk, 1988) , because there is no edge in the derivation corresponding to the dependency between surprise and have-to (the necessity of Paul's staying is what surprises Mary, not his staying in itself). Using the above algorithm, however, we can still produce the desired dependency structure: The derivation examples above only address the preservation of dependencies through adjunction.",
                "cite_spans": [
                    {
                        "start": 146,
                        "end": 161,
                        "text": "(Mel'cuk, 1988)",
                        "ref_id": "BIBREF6"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "Let us now attempt to preserve both substitution and adjunction dependencies in transducing a sentence based on Candito and Kahane's example 5c, \"That Paul has to stay surprised Mary,\" in order to demonstrate how they interact. 5 We begin with the derivation tree: al :surprise c~2 :stay(S0) c~4 :Mary(NPl) c~a:Paul(NP0) ~:have-to(VP)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "5We have replaced want to in the original example with have to in order to highlight the dependency structure and set aside any translation issues related to PRO control.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "3",
                "sec_num": null
            },
            {
                "text": "Once a source derivation is selected from the parse forest, the predicate-argument dependencies can be read off from the items in the forest that constitute the selected derivation. The resulting dependency graph can then be mapped to a forest of target derivations, where each predicate node in the source dependency graph is linked to a set of possible elementary trees in the target grammar, each of which is instantiated with substitution or adjunction edges leading to other linked sets in the forest. The elementary trees in the target forest are determined by the predicate pairs in the transfer lexicon, and by the elementary trees that can realize the translated targets. The substitution and adjunction edges in the target forest are determined by the argument links in the transfer lexicon, and by the substitution and adjunction configurations that can realize the translated targets' dependencies.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "Mapping dependencies into substitutions is relatively straightforward, but we have seen in Section 2 that different adjunction configurations (such as the raising and bridge verb ad-junctions in sentences (1) and (2)) can correspond to the same dependency graph, so we should expect that some dependencies in our target graph may correspond to more than one adjunction configuration in the target derivation tree. Since a dependency may be realized by adjunctions at up to n different sites, an unconstrained algorithm would require exponential time to find a target derivation in the worst case. In order to reduce this complexity, we present a dynamic programming algorithm for constructing a target derivation forest in time proportional to O(n 4) which relies on a restriction that the target derivations must preserve the relative scope ordering of the predicates in the source dependency graph.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "This restriction carries the linguistic implication that the scope ordering of adjuncts is part of the meaning of a sentence and should not be re-arranged in translation. Since we exploit a notion of locality similar to that of Isomorphic Synchronous TAG, we should not expect the generative power of our definition to exceed the generative power of TAG, as well.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "First, we define an ordering of predicates on the source dependency graph corresponding to a depth-first traversal of the graph, originating at the predicate variable of the root of the source derivation, and visiting arguments and modifiers in order from lowest to highest scope. In other words, arguments and modifiers will be ordered from the bottom up on the elementary tree structure of the parent, such that the foot node argument of an elementary tree has the lowest scope among the arguments, and the first adjunct on the main (trunk) anchor has the lowest scope among the modifiers.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "Arguments, which can safely be permuted in translation because their number is finitely bounded, are traversed entirely before the parent; and modifiers, which should not be permuted because they may be arbitrarily numerous, are traversed entirely after the parent. This enumeration will roughly correspond to the scoping order for the adjuncts in the source derivation, while preventing substituted trees from interrupting possible scoping configurations. We can now identify all the descendants of any elementary tree in a derivation because they will form a consecutive series in the enumeration described above. It therefore provides a convenient way to generate a target derivation forest that preserves the scoping information in the source, by 'parsing' the scope-ordered string of elementary trees, using indices on this enumeration instead of on a string yield.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "It is important to note that in defining this algorithm, we assume that all trees associated with a particular predicate will use the same argument structure as that predicate. 6 We also assume that the set of trees associated with a particular predicate may be filtered by transferring information such as mood and voice from source to target predicates.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "Apart from the different use of indices, the algorithm we describe is exactly the reverse of the transducer described in Section 3, taking a dependency graph 79 and producing a TAG derivation forest containing exactly the set of derivation trees for which those dependencies hold. Here, as in a parsing algorithm, we define forest items as tuples of (~/\u00a2, 'q, _1_, i,j, X) where a, ~, and 7 are elementary trees with node'O, \u00a2 and \u00a2 are predicates, X and w be predicate variables, and T and _1_ are delimiters tbr opening and closing adjunction, but now let i, j, and k refer to the indices on the scoping enumeration described above, instead of on an input string. In order to reconcile scoping ranges for substitution, we must also define a function first (C) to return the leftmost (lowest) edge of the \u00a2's range in the scope enumeration, and last(C) to return the rightmost (highest) edge of the \u00a2's range in the scope enumeration.",
                "cite_spans": [
                    {
                        "start": 350,
                        "end": 372,
                        "text": "(~/\u00a2, 'q, _1_, i,j, X)",
                        "ref_id": null
                    },
                    {
                        "start": 758,
                        "end": 761,
                        "text": "(C)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "\u2022 For each tree 7 mapped from predicate \u00a2 at scope i, introduce (~,\u00a2, first(C), i + 1, \u00a2}.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "\u2022 If (\u00a2,arg(7,~) ,co) E 79, try substitution of c~ into 3':",
                "cite_spans": [
                    {
                        "start": 5,
                        "end": 16,
                        "text": "(\u00a2,arg(7,~)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "(c~\u00a2, ROOT, T, first(co), last(co), co)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Obtaining Target Derivations",
                "sec_num": "4"
            },
            {
                "text": "\u2022 If (\u00a2, arg(/3, FOOT), X) E 79, try modifier adjunction of fl into -),: (V~,~h_l_,i,j,x) (/3\u00a2, ROOT, T, j, k, w) (V\u00a2, ~, -l-, i, k, x) \u2022 If (\u00a2, arg(/3, FOOT), X) E 79, try predicative adjunction of/3 into V: (V\u00a2, ~, _I_, i, j, x) (/3\u00a2, ROOT, T, j, k, w) (V\u00a2, ~, T, i, k, w) \u2022 Apply productions for nonterminal projection as in the transducer algorithm, propagating index ranges and predicative variables up along the path from the main anchor to the root.",
                "cite_spans": [
                    {
                        "start": 73,
                        "end": 89,
                        "text": "(V~,~h_l_,i,j,x)",
                        "ref_id": null
                    },
                    {
                        "start": 90,
                        "end": 95,
                        "text": "(/3\u00a2,",
                        "ref_id": null
                    },
                    {
                        "start": 96,
                        "end": 101,
                        "text": "ROOT,",
                        "ref_id": null
                    },
                    {
                        "start": 102,
                        "end": 104,
                        "text": "T,",
                        "ref_id": null
                    },
                    {
                        "start": 105,
                        "end": 107,
                        "text": "j,",
                        "ref_id": null
                    },
                    {
                        "start": 108,
                        "end": 110,
                        "text": "k,",
                        "ref_id": null
                    },
                    {
                        "start": 111,
                        "end": 113,
                        "text": "w)",
                        "ref_id": null
                    },
                    {
                        "start": 114,
                        "end": 135,
                        "text": "(V\u00a2, ~, -l-, i, k, x)",
                        "ref_id": null
                    },
                    {
                        "start": 209,
                        "end": 213,
                        "text": "(V\u00a2,",
                        "ref_id": null
                    },
                    {
                        "start": 214,
                        "end": 216,
                        "text": "~,",
                        "ref_id": null
                    },
                    {
                        "start": 217,
                        "end": 221,
                        "text": "_I_,",
                        "ref_id": null
                    },
                    {
                        "start": 222,
                        "end": 224,
                        "text": "i,",
                        "ref_id": null
                    },
                    {
                        "start": 225,
                        "end": 227,
                        "text": "j,",
                        "ref_id": null
                    },
                    {
                        "start": 228,
                        "end": 236,
                        "text": "x) (/3\u00a2,",
                        "ref_id": null
                    },
                    {
                        "start": 237,
                        "end": 242,
                        "text": "ROOT,",
                        "ref_id": null
                    },
                    {
                        "start": 243,
                        "end": 245,
                        "text": "T,",
                        "ref_id": null
                    },
                    {
                        "start": 246,
                        "end": 248,
                        "text": "j,",
                        "ref_id": null
                    },
                    {
                        "start": 249,
                        "end": 251,
                        "text": "k,",
                        "ref_id": null
                    },
                    {
                        "start": 252,
                        "end": 259,
                        "text": "w) (V\u00a2,",
                        "ref_id": null
                    },
                    {
                        "start": 260,
                        "end": 262,
                        "text": "~,",
                        "ref_id": null
                    },
                    {
                        "start": 263,
                        "end": 265,
                        "text": "T,",
                        "ref_id": null
                    },
                    {
                        "start": 266,
                        "end": 268,
                        "text": "i,",
                        "ref_id": null
                    },
                    {
                        "start": 269,
                        "end": 271,
                        "text": "k,",
                        "ref_id": null
                    },
                    {
                        "start": 272,
                        "end": 274,
                        "text": "w)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "7, \u00b1, , ,-)",
                "sec_num": null
            },
            {
                "text": "Since none of the productions combine more than three indices and one predicate variable, and since the indices and predicate variable may have no more than n distinct values, the algorithm runs in O(n 4) time. Note that one of the indices may be redundant with the predicate variable, so a more efficient implementation might be possible in dO(n3).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "7, \u00b1, , ,-)",
                "sec_num": null
            },
            {
                "text": "We can demonstrate this algorithm by translating the English dependency graph from Section 1 into a derivation tree for Portuguese. First, we enumerate the predicates with their relative scoping positions: at the bottom, we assign to these constituents the relative scoping ranges of 1-2, 2-3, and 3-$, respectively, where $ is a terminal symbol.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "7, \u00b1, , ,-)",
                "sec_num": null
            },
            {
                "text": "There is also a dependency from is-supposedto to be-able-to allowing us to adjoin /32:dpressuposto-que to /31:d-capaz-de to make it cover the range from 2 to $, but there would be no S node to host its adjunction, so this possibility can not be added to the forest. We can, however, adjoin/32:d-pressuposto-que to the instance of a:voar extending to/31 :d-capaz-de that covers the range from 1 to 3, resulting in a complete analysis of the entire scope from 1 to $, (from (~:voar to/32:pressuposto) rooted on voar: (O~voar, l,2,..) (/3capaz, 2, 3, ..) (/3press, 3, $, ..) <O~voar ' 1, 3, capaz) <avoar, 1, $, press} which matches the distributed derivation tree where both auxiliary trees adjoin to roar. Let us compare this to a translation using the same dependency structure, but different words:",
                "cite_spans": [
                    {
                        "start": 580,
                        "end": 594,
                        "text": "' 1, 3, capaz)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [
                    {
                        "start": 515,
                        "end": 571,
                        "text": "(O~voar, l,2,..) (/3capaz, 2, 3, ..) (/3press, 3, $, ..)",
                        "ref_id": "FIGREF1"
                    }
                ],
                "eq_spans": [],
                "section": "7, \u00b1, , ,-)",
                "sec_num": null
            },
            {
                "text": "[3] \u00a20 :is-going-to",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "7, \u00b1, , ,-)",
                "sec_num": null
            },
            {
                "text": "[2] \u00a2l:be-able-to",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "[1] \u00a22:fly Once again we select trees in the target language, and enumerate them with scoping ranges in a pre-order traversal, but this time the construction at scope position 3 must be translated as a raising verb (vai) instead of as a bridge construction (d-pressuposto-que): (avoar, l,2,..> (/3capaz,2,3,..> (/3vai,3,$,..> (avoar, l,2,..) (/3capaz,2,3,..> (/3press, 3,$,..> Since there is a dependency from be-able-to to fly, we can adjoin/31:d-capaz-de to a:voar such that it covers the range of scopes from 1 to 3 (from roar to d-capaz-de), so we add this possibility to the forest.",
                "cite_spans": [
                    {
                        "start": 278,
                        "end": 341,
                        "text": "(avoar, l,2,..> (/3capaz,2,3,..> (/3vai,3,$,..> (avoar, l,2,..)",
                        "ref_id": null
                    },
                    {
                        "start": 342,
                        "end": 376,
                        "text": "(/3capaz,2,3,..> (/3press, 3,$,..>",
                        "ref_id": null
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "Although we can still adjoin/31 :ser-capaz-de at the VP node of a:voar, we will have nowhere to adjoin /32:vai, since the VP node of a:voar is now occupied, and only one predicative tree may adjoin at any node. 7",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "(avoar, 1, 2,..) (t3capaz, 2, 3, ..) (/3vai, 3, $, ..) (avoar, 1, 3, capaz> (avoar , l, 2, ..) (/3capaz, 2, 3, -.) (/3;ress, 3,$,..) (avoar, 1, 3, capaz)",
                "cite_spans": [
                    {
                        "start": 55,
                        "end": 84,
                        "text": "(avoar, 1, 3, capaz> (avoar ,",
                        "ref_id": null
                    }
                ],
                "ref_spans": [
                    {
                        "start": 85,
                        "end": 132,
                        "text": "l, 2, ..) (/3capaz, 2, 3, -.) (/3;ress, 3,$,..)",
                        "ref_id": "FIGREF1"
                    }
                ],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "7See (Schabes and Shieber, 1994) for the motivations of this restriction.",
                "cite_spans": [
                    {
                        "start": 5,
                        "end": 32,
                        "text": "(Schabes and Shieber, 1994)",
                        "ref_id": "BIBREF9"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "Fortunately, we can also realize the dependency between vai and ser-capaz-de by adjoining/32 :vai at the VP. <avo r, l, 2, ..) <13capaz, 2, 3, ..) (/3va , 3, $, ..)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "I",
                "sec_num": null
            },
            {
                "text": "The new instance spanning from 2 to $ (from ~1 :capaz to/32 :vai) can then be adjoined at the VP node of roar, to complete the derivation.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "< capaz, 2, $, vai)",
                "sec_num": null
            },
            {
                "text": "( avoar , 1, 2, ..) (flcapaz, 2, 3,..) (~vai, 3, $,..) (~cap~z, 2, $, vai) (Olvoar , 1, $, vai) This corresponds to the stacked derivation, with p2:vai adjoined to t31:ser-capaz-de and 1~1 :ser-capaz-de adjoined to a:voar: We have presented two algorithms -one for interpreting a derivation forest as a semantic dependency graph, and the other for realizing a semantic dependency graph as a derivation forest -that make use of semantic dependencies as adapted from the notion of predicate-argument attachment in (Joshi and Vijay-Shanker, 1999 ), and we have described how these algorithms can be run together in a synchronous TAG translation system, in CO(n 7) time, using transfer rules predicated on isomorphic or locally nonisomorphic dependency graphs rather than isomorphic or locally non-isomorphic derivation trees. We have also demonstrated how such a system would be necessary in translating a real-world example that is isomorphic on dependency graphs but globally non-isomorphic on derivation trees. This system is currently being implemented as part of the Xtag project at the University of Pennsylvania, and as natural language interface in the Human Modeling and Simulation project, also at Penn.",
                "cite_spans": [
                    {
                        "start": 75,
                        "end": 84,
                        "text": "(Olvoar ,",
                        "ref_id": null
                    },
                    {
                        "start": 85,
                        "end": 87,
                        "text": "1,",
                        "ref_id": null
                    },
                    {
                        "start": 88,
                        "end": 90,
                        "text": "$,",
                        "ref_id": null
                    },
                    {
                        "start": 91,
                        "end": 95,
                        "text": "vai)",
                        "ref_id": null
                    },
                    {
                        "start": 512,
                        "end": 542,
                        "text": "(Joshi and Vijay-Shanker, 1999",
                        "ref_id": "BIBREF3"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "< capaz, 2, $, vai)",
                "sec_num": null
            },
            {
                "text": "~Although this does not hold for certain relative clause elementary trees with wh-extractions as substitutions sites (since the wh-site is an argument of the main verb of the clause instead of the foot node), Candito and Kahane(Candito and Kahane, 1998b) suggest an alternative analysis which can be extended to TAG by adjoining the relative clause into its wh-word as a predicative adjunct, and adjoining the wh-word into the parent noun phrase as a modifier, so the noun phrase is treated as an argument of the wh-word rather than of the relative clause.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "",
                "sec_num": null
            }
        ],
        "back_matter": [],
        "bib_entries": {
            "BIBREF0": {
                "ref_id": "b0",
                "title": "Using lexicalized tree adjoining grammars for machine translation",
                "authors": [
                    {
                        "first": "Anne",
                        "middle": [],
                        "last": "Abeill6",
                        "suffix": ""
                    },
                    {
                        "first": "Yves",
                        "middle": [],
                        "last": "Schabes",
                        "suffix": ""
                    },
                    {
                        "first": "Aravind",
                        "middle": [
                            "K"
                        ],
                        "last": "Joshi",
                        "suffix": ""
                    }
                ],
                "year": 1990,
                "venue": "Proceedings of the 13th International Conference on Coraputatio'nal Linguistics (COLING '90)",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Anne Abeill6, Yves Schabes, and Aravind K. Joshi. 1990. Using lexicalized tree adjoining grammars for machine translation. In Proceedings of the 13th International Conference on Coraputatio'nal Linguistics (COLING '90), Helsinki, Finland, Au- gust.",
                "links": null
            },
            "BIBREF1": {
                "ref_id": "b1",
                "title": "Can the TAG derivation tree represent a semantic graph?",
                "authors": [
                    {
                        "first": "Marie-Helene",
                        "middle": [],
                        "last": "Candito",
                        "suffix": ""
                    },
                    {
                        "first": "Sylvain",
                        "middle": [],
                        "last": "Kahane",
                        "suffix": ""
                    }
                ],
                "year": 1998,
                "venue": "Proceedings of the TAG+4 Workshop",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Marie-Helene Candito and Sylvain Kahane. 1998a. Can the TAG derivation tree represent a semantic graph? In Proceedings of the TAG+4 Workshop, University of Pennsylvania, August.",
                "links": null
            },
            "BIBREF2": {
                "ref_id": "b2",
                "title": "Defining DTG derivations to get semantic graphs",
                "authors": [
                    {
                        "first": "Marie-Helene",
                        "middle": [],
                        "last": "Candito",
                        "suffix": ""
                    },
                    {
                        "first": "Sylvain",
                        "middle": [],
                        "last": "Kahane",
                        "suffix": ""
                    }
                ],
                "year": 1998,
                "venue": "Proceedings of the TAG+~ Workshop",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Marie-Helene Candito and Sylvain Kahane. 1998b. Defining DTG derivations to get semantic graphs. In Proceedings of the TAG+~ Workshop, Univer- sity of Pennsylvania, August.",
                "links": null
            },
            "BIBREF3": {
                "ref_id": "b3",
                "title": "Compositional Semantics with Lexicalized Tree-Adjoining Grammar (LTAG): How Much Underspecification is Necessary?",
                "authors": [
                    {
                        "first": "Aravind",
                        "middle": [],
                        "last": "Joshi",
                        "suffix": ""
                    },
                    {
                        "first": "K",
                        "middle": [],
                        "last": "Vijay-Shanker",
                        "suffix": ""
                    }
                ],
                "year": 1999,
                "venue": "Proceedings of the 2nd International Workshop on Computational Semantics",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Aravind Joshi and K. Vijay-Shanker. 1999. Com- positional Semantics with Lexicalized Tree- Adjoining Grammar (LTAG): How Much Under- specification is Necessary? In Proceedings of the 2nd International Workshop on Computational Semantics.",
                "links": null
            },
            "BIBREF4": {
                "ref_id": "b4",
                "title": "How much context sensitivity is necessary for characterizing structural descriptions: Tree adjoining grammars",
                "authors": [
                    {
                        "first": "K",
                        "middle": [],
                        "last": "Aravind",
                        "suffix": ""
                    },
                    {
                        "first": "",
                        "middle": [],
                        "last": "Joshi",
                        "suffix": ""
                    }
                ],
                "year": 1985,
                "venue": "Natural language parsing: Psychological, computational and theoretical perspectives",
                "volume": "",
                "issue": "",
                "pages": "206--250",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Aravind K. Joshi. 1985. How much context sensitiv- ity is necessary for characterizing structural de- scriptions: Tree adjoining grammars. In L. Kart- tunen D. Dowty and A. Zwicky, editors, Natural language parsing: Psychological, computational and theoretical perspectives, pages 206-250. Cam- bridge University Press, Cambridge, U.K.",
                "links": null
            },
            "BIBREF5": {
                "ref_id": "b5",
                "title": "Asymmetries in long distance extraction in a TAG grammar",
                "authors": [
                    {
                        "first": "Anthony",
                        "middle": [
                            "S"
                        ],
                        "last": "Kroch",
                        "suffix": ""
                    }
                ],
                "year": 1989,
                "venue": "Alternative Conceptions of Phrase Structure",
                "volume": "",
                "issue": "",
                "pages": "66--98",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Anthony S. Kroch. 1989. Asymmetries in long dis- tance extraction in a TAG grammar. In M. Baltin and A. Kroch, editors, Alternative Conceptions of Phrase Structure, pages 66-98. University of Chicago Press.",
                "links": null
            },
            "BIBREF6": {
                "ref_id": "b6",
                "title": "Dependency syntax: theory and practice",
                "authors": [
                    {
                        "first": "Igor",
                        "middle": [],
                        "last": "Mel",
                        "suffix": ""
                    },
                    {
                        "first": "'",
                        "middle": [],
                        "last": "Cuk",
                        "suffix": ""
                    }
                ],
                "year": 1988,
                "venue": "",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Igor Mel'cuk. 1988. Dependency syntax: theory and practice . State University of NY Press, Albany.",
                "links": null
            },
            "BIBREF7": {
                "ref_id": "b7",
                "title": "Synchronous Models of Language",
                "authors": [
                    {
                        "first": "Owen",
                        "middle": [],
                        "last": "Rainbow",
                        "suffix": ""
                    },
                    {
                        "first": "Giorgio",
                        "middle": [],
                        "last": "Satta",
                        "suffix": ""
                    }
                ],
                "year": 1996,
                "venue": "Proceedings of the 34th Annual Meeting of the Association for Computational Linguistics (A CL '96)",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Owen Rainbow and Giorgio Satta. 1996. Syn- chronous Models of Language. In Proceedings of the 34th Annual Meeting of the Association for Computational Linguistics (A CL '96).",
                "links": null
            },
            "BIBREF8": {
                "ref_id": "b8",
                "title": "D-tree grammars",
                "authors": [
                    {
                        "first": "Owen",
                        "middle": [],
                        "last": "Rambow",
                        "suffix": ""
                    },
                    {
                        "first": "David",
                        "middle": [],
                        "last": "Weir",
                        "suffix": ""
                    },
                    {
                        "first": "K",
                        "middle": [],
                        "last": "Vijay-Shanker",
                        "suffix": ""
                    }
                ],
                "year": 1995,
                "venue": "Proceedings of the 33rd Annual Meeting of the Association for Computational Linguistics (A CL '95)",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Owen Rambow, David Weir, and K. Vijay-Shanker. 1995. D-tree grammars. In Proceedings of the 33rd Annual Meeting of the Association for Com- putational Linguistics (A CL '95).",
                "links": null
            },
            "BIBREF9": {
                "ref_id": "b9",
                "title": "An alternative conception of tree-adjoining derivation",
                "authors": [
                    {
                        "first": "Yves",
                        "middle": [],
                        "last": "Schabes",
                        "suffix": ""
                    },
                    {
                        "first": "Stuart",
                        "middle": [
                            "M"
                        ],
                        "last": "Shieber",
                        "suffix": ""
                    }
                ],
                "year": 1994,
                "venue": "Computational Linguistics",
                "volume": "20",
                "issue": "1",
                "pages": "91--124",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Yves Schabes and Stuart M. Shieber. 1994. An al- ternative conception of tree-adjoining derivation. Computational Linguistics, 20(1):91-124.",
                "links": null
            },
            "BIBREF10": {
                "ref_id": "b10",
                "title": "Expoiting semantic dependencies in parsing",
                "authors": [
                    {
                        "first": "William",
                        "middle": [],
                        "last": "Schuler",
                        "suffix": ""
                    }
                ],
                "year": 1998,
                "venue": "Proceedings of the TAG+4 Workshop",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "William Schuler. 1998. Expoiting semantic depen- dencies in parsing. Proceedings of the TAG+4 Workshop.",
                "links": null
            },
            "BIBREF11": {
                "ref_id": "b11",
                "title": "Synchronous tree adjoining grammars",
                "authors": [
                    {
                        "first": "M",
                        "middle": [],
                        "last": "Stuart",
                        "suffix": ""
                    },
                    {
                        "first": "Yves",
                        "middle": [],
                        "last": "Shieber",
                        "suffix": ""
                    },
                    {
                        "first": "",
                        "middle": [],
                        "last": "Schabes",
                        "suffix": ""
                    }
                ],
                "year": 1990,
                "venue": "Proceedings of the 13th International Conference on Computational Linguistics (COLING '90)",
                "volume": "",
                "issue": "",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Stuart M. Shieber and Yves Schabes. 1990. Syn- chronous tree adjoining grammars. In Proceedings of the 13th International Conference on Compu- tational Linguistics (COLING '90), Helsinki, Fin- land, August.",
                "links": null
            },
            "BIBREF12": {
                "ref_id": "b12",
                "title": "Restricting the weakgenerative capability of synchronous tree adjoining grammars",
                "authors": [
                    {
                        "first": "M",
                        "middle": [],
                        "last": "Stuart",
                        "suffix": ""
                    },
                    {
                        "first": "",
                        "middle": [],
                        "last": "Shieber",
                        "suffix": ""
                    }
                ],
                "year": 1994,
                "venue": "Computational Intelligence",
                "volume": "10",
                "issue": "4",
                "pages": "",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "Stuart M. Shieber. 1994. Restricting the weak- generative capability of synchronous tree adjoin- ing grammars. Computational Intelligence, 10(4).",
                "links": null
            },
            "BIBREF13": {
                "ref_id": "b13",
                "title": "The use of shared forests in tree adjoining grammar parsing",
                "authors": [
                    {
                        "first": "K",
                        "middle": [],
                        "last": "Vijay-Shanker",
                        "suffix": ""
                    },
                    {
                        "first": "D",
                        "middle": [
                            "J"
                        ],
                        "last": "Weir",
                        "suffix": ""
                    }
                ],
                "year": 1993,
                "venue": "Proceedings of EA CL '93",
                "volume": "",
                "issue": "",
                "pages": "384--393",
                "other_ids": {},
                "num": null,
                "urls": [],
                "raw_text": "K. Vijay-Shanker and D.J. Weir. 1993. The use of shared forests in tree adjoining grammar parsing. In Proceedings of EA CL '93, pages 384-393.",
                "links": null
            }
        },
        "ref_entries": {
            "FIGREF1": {
                "type_str": "figure",
                "num": null,
                "uris": null,
                "text": "Synchronous tree pairs for \"supposed to be able to fly\" proceed from the bottom up, the attachment of predicates to arguments is neither destructive nor underspecified at any stage in the interpretation. For example, assume the initial tree a:fly has a predicate variable s], representing the situation of something flying, and an argument variable xl, representing the thing that is flying;"
            },
            "FIGREF3": {
                "type_str": "figure",
                "num": null,
                "uris": null,
                "text": "capaz-de(VP) ~2:fi-pressuposto-que(S)"
            },
            "FIGREF4": {
                "type_str": "figure",
                "num": null,
                "uris": null,
                "text": "adjoining fl:have-to at node VP of c~2:stay to produce a composed item with have-to as its predicate variable, as well as the dependency (have-to, 0,stay/. When a2:stay substitutes at node So of c~l:surprise, the resulting dependency also uses the predicate variable of the argument, yielding (surprise, 0,have-to)."
            },
            "FIGREF5": {
                "type_str": "figure",
                "num": null,
                "uris": null,
                "text": "\u00a20:is-supposed-to I [2] \u00a2l:be-able-to I [i] \u00a22:fly Then we construct a derivation forest based on the translated elementary trees a:voar,/31 :dcapaz-de, and /32 :d-pressuposto-que. Beginning"
            },
            "FIGREF6": {
                "type_str": "figure",
                "num": null,
                "uris": null,
                "text": "31:6-capaz-de(VP) [3-$]~2:6-pressup.-que(S)"
            }
        }
    }
}