id sid tid token lemma pos 3t945q50s14 1 1 the the DET 3t945q50s14 1 2 logic logic NOUN 3t945q50s14 1 3 lω1ω lω1ω PROPN 3t945q50s14 1 4 admits admit VERB 3t945q50s14 1 5 sentences sentence NOUN 3t945q50s14 1 6 that that PRON 3t945q50s14 1 7 are be AUX 3t945q50s14 1 8 infinitely infinitely ADV 3t945q50s14 1 9 long long ADJ 3t945q50s14 1 10 by by ADP 3t945q50s14 1 11 allowing allow VERB 3t945q50s14 1 12 countably countably ADV 3t945q50s14 1 13 many many ADJ 3t945q50s14 1 14 conjunctions conjunction NOUN 3t945q50s14 1 15 and and CCONJ 3t945q50s14 1 16 disjunctions disjunction NOUN 3t945q50s14 1 17 . . PUNCT 3t945q50s14 2 1 in in ADP 3t945q50s14 2 2 this this DET 3t945q50s14 2 3 logic logic NOUN 3t945q50s14 2 4 , , PUNCT 3t945q50s14 2 5 we we PRON 3t945q50s14 2 6 can can AUX 3t945q50s14 2 7 describe describe VERB 3t945q50s14 2 8 countable countable ADJ 3t945q50s14 2 9 structures structure NOUN 3t945q50s14 2 10 such such ADJ 3t945q50s14 2 11 as as ADP 3t945q50s14 2 12 the the DET 3t945q50s14 2 13 natural natural ADJ 3t945q50s14 2 14 numbers number NOUN 3t945q50s14 2 15 up up ADP 3t945q50s14 2 16 to to ADP 3t945q50s14 2 17 isomorphism isomorphism NOUN 3t945q50s14 2 18 among among ADP 3t945q50s14 2 19 countable countable ADJ 3t945q50s14 2 20 structures structure NOUN 3t945q50s14 2 21 via via ADP 3t945q50s14 2 22 a a DET 3t945q50s14 2 23 single single ADJ 3t945q50s14 2 24 sentence sentence NOUN 3t945q50s14 2 25 φ φ X 3t945q50s14 2 26 known know VERB 3t945q50s14 2 27 as as ADP 3t945q50s14 2 28 the the DET 3t945q50s14 2 29 scott scott PROPN 3t945q50s14 2 30 sentence sentence NOUN 3t945q50s14 2 31 of of ADP 3t945q50s14 2 32 that that DET 3t945q50s14 2 33 structure structure NOUN 3t945q50s14 2 34 . . PUNCT 3t945q50s14 3 1 the the DET 3t945q50s14 3 2 syntactic syntactic ADJ 3t945q50s14 3 3 complexity complexity NOUN 3t945q50s14 3 4 of of ADP 3t945q50s14 3 5 a a DET 3t945q50s14 3 6 scott scott PROPN 3t945q50s14 3 7 sentence sentence NOUN 3t945q50s14 3 8 for for ADP 3t945q50s14 3 9 a a DET 3t945q50s14 3 10 structure structure NOUN 3t945q50s14 3 11 tells tell VERB 3t945q50s14 3 12 us we PRON 3t945q50s14 3 13 a a DET 3t945q50s14 3 14 host host NOUN 3t945q50s14 3 15 of of ADP 3t945q50s14 3 16 information information NOUN 3t945q50s14 3 17 about about ADP 3t945q50s14 3 18 the the DET 3t945q50s14 3 19 structure structure NOUN 3t945q50s14 3 20 . . PUNCT 3t945q50s14 4 1 we we PRON 3t945q50s14 4 2 consider consider VERB 3t945q50s14 4 3 a a DET 3t945q50s14 4 4 finer fine ADJ 3t945q50s14 4 5 notion notion NOUN 3t945q50s14 4 6 of of ADP 3t945q50s14 4 7 this this DET 3t945q50s14 4 8 complexity complexity NOUN 3t945q50s14 4 9 than than ADP 3t945q50s14 4 10 that that PRON 3t945q50s14 4 11 historically historically ADV 3t945q50s14 4 12 considered consider VERB 3t945q50s14 4 13 in in ADP 3t945q50s14 4 14 the the DET 3t945q50s14 4 15 literature literature NOUN 3t945q50s14 4 16 known know VERB 3t945q50s14 4 17 as as ADP 3t945q50s14 4 18 the the DET 3t945q50s14 4 19 scott scott PROPN 3t945q50s14 4 20 complexity complexity NOUN 3t945q50s14 4 21 . . PUNCT 3t945q50s14 5 1 we we PRON 3t945q50s14 5 2 also also ADV 3t945q50s14 5 3 consider consider VERB 3t945q50s14 5 4 an an DET 3t945q50s14 5 5 effective effective ADJ 3t945q50s14 5 6 analogue analogue NOUN 3t945q50s14 5 7 of of ADP 3t945q50s14 5 8 this this DET 3t945q50s14 5 9 concept concept NOUN 3t945q50s14 5 10 , , PUNCT 3t945q50s14 5 11 and and CCONJ 3t945q50s14 5 12 prove prove VERB 3t945q50s14 5 13 analogues analogue NOUN 3t945q50s14 5 14 of of ADP 3t945q50s14 5 15 known know VERB 3t945q50s14 5 16 results result NOUN 3t945q50s14 5 17 about about ADP 3t945q50s14 5 18 scott scott PROPN 3t945q50s14 5 19 complexity.next complexity.next PROPN 3t945q50s14 5 20 , , PUNCT 3t945q50s14 5 21 we we PRON 3t945q50s14 5 22 compute compute VERB 3t945q50s14 5 23 the the DET 3t945q50s14 5 24 scott scott PROPN 3t945q50s14 5 25 complexity complexity NOUN 3t945q50s14 5 26 for for ADP 3t945q50s14 5 27 some some DET 3t945q50s14 5 28 well well ADV 3t945q50s14 5 29 - - PUNCT 3t945q50s14 5 30 behaved behave VERB 3t945q50s14 5 31 classes class NOUN 3t945q50s14 5 32 of of ADP 3t945q50s14 5 33 structures structure NOUN 3t945q50s14 5 34 . . PUNCT 3t945q50s14 6 1 a a DET 3t945q50s14 6 2 linear linear ADJ 3t945q50s14 6 3 order order NOUN 3t945q50s14 6 4 l l PRON 3t945q50s14 6 5 is be AUX 3t945q50s14 6 6 said say VERB 3t945q50s14 6 7 to to PART 3t945q50s14 6 8 be be AUX 3t945q50s14 6 9 scattered scatter VERB 3t945q50s14 6 10 if if SCONJ 3t945q50s14 6 11 there there PRON 3t945q50s14 6 12 is be VERB 3t945q50s14 6 13 no no DET 3t945q50s14 6 14 embedding embedding NOUN 3t945q50s14 6 15 from from ADP 3t945q50s14 6 16 the the DET 3t945q50s14 6 17 order order NOUN 3t945q50s14 6 18 type type NOUN 3t945q50s14 6 19 of of ADP 3t945q50s14 6 20 the the DET 3t945q50s14 6 21 rationals rational NOUN 3t945q50s14 6 22 into into ADP 3t945q50s14 6 23 l. l. PROPN 3t945q50s14 6 24 we we PRON 3t945q50s14 6 25 give give VERB 3t945q50s14 6 26 sharp sharp ADJ 3t945q50s14 6 27 upper upper ADJ 3t945q50s14 6 28 bounds bound NOUN 3t945q50s14 6 29 on on ADP 3t945q50s14 6 30 the the DET 3t945q50s14 6 31 scott scott PROPN 3t945q50s14 6 32 complexity complexity NOUN 3t945q50s14 6 33 of of ADP 3t945q50s14 6 34 an an DET 3t945q50s14 6 35 arbitrary arbitrary ADJ 3t945q50s14 6 36 scattered scatter VERB 3t945q50s14 6 37 linear linear ADJ 3t945q50s14 6 38 order order NOUN 3t945q50s14 6 39 in in ADP 3t945q50s14 6 40 terms term NOUN 3t945q50s14 6 41 of of ADP 3t945q50s14 6 42 an an DET 3t945q50s14 6 43 invariant invariant NOUN 3t945q50s14 6 44 known know VERB 3t945q50s14 6 45 as as ADP 3t945q50s14 6 46 its its PRON 3t945q50s14 6 47 hausdorff hausdorff PROPN 3t945q50s14 6 48 rank rank NOUN 3t945q50s14 6 49 . . PUNCT 3t945q50s14 7 1 finally finally ADV 3t945q50s14 7 2 , , PUNCT 3t945q50s14 7 3 we we PRON 3t945q50s14 7 4 consider consider VERB 3t945q50s14 7 5 the the DET 3t945q50s14 7 6 case case NOUN 3t945q50s14 7 7 when when SCONJ 3t945q50s14 7 8 the the DET 3t945q50s14 7 9 scott scott PROPN 3t945q50s14 7 10 complexity complexity NOUN 3t945q50s14 7 11 of of ADP 3t945q50s14 7 12 a a DET 3t945q50s14 7 13 structure structure NOUN 3t945q50s14 7 14 is be AUX 3t945q50s14 7 15 d d PROPN 3t945q50s14 7 16 − − PROPN 3t945q50s14 7 17 σα σα PROPN 3t945q50s14 7 18 or or CCONJ 3t945q50s14 7 19 σα σα PROPN 3t945q50s14 7 20 . . PUNCT 3t945q50s14 8 1 such such ADJ 3t945q50s14 8 2 structures structure NOUN 3t945q50s14 8 3 are be AUX 3t945q50s14 8 4 controlled control VERB 3t945q50s14 8 5 by by ADP 3t945q50s14 8 6 a a DET 3t945q50s14 8 7 special special ADJ 3t945q50s14 8 8 finite finite NOUN 3t945q50s14 8 9 tuple tuple NOUN 3t945q50s14 8 10 inside inside ADP 3t945q50s14 8 11 the the DET 3t945q50s14 8 12 structure structure NOUN 3t945q50s14 8 13 similar similar ADJ 3t945q50s14 8 14 to to ADP 3t945q50s14 8 15 the the DET 3t945q50s14 8 16 way way NOUN 3t945q50s14 8 17 in in ADP 3t945q50s14 8 18 which which PRON 3t945q50s14 8 19 a a DET 3t945q50s14 8 20 finitely finitely ADV 3t945q50s14 8 21 generated generate VERB 3t945q50s14 8 22 structure structure NOUN 3t945q50s14 8 23 is be AUX 3t945q50s14 8 24 controlled control VERB 3t945q50s14 8 25 by by ADP 3t945q50s14 8 26 its its PRON 3t945q50s14 8 27 generating generating NOUN 3t945q50s14 8 28 tuple tuple NOUN 3t945q50s14 8 29 . . PUNCT 3t945q50s14 9 1 we we PRON 3t945q50s14 9 2 call call VERB 3t945q50s14 9 3 such such ADJ 3t945q50s14 9 4 structures structure NOUN 3t945q50s14 9 5 finitely finitely ADV 3t945q50s14 9 6 α α ADV 3t945q50s14 9 7 - - PUNCT 3t945q50s14 9 8 generated generate VERB 3t945q50s14 9 9 and and CCONJ 3t945q50s14 9 10 show show VERB 3t945q50s14 9 11 that that SCONJ 3t945q50s14 9 12 several several ADJ 3t945q50s14 9 13 previously previously ADV 3t945q50s14 9 14 known know VERB 3t945q50s14 9 15 results result NOUN 3t945q50s14 9 16 about about ADP 3t945q50s14 9 17 the the DET 3t945q50s14 9 18 scott scott PROPN 3t945q50s14 9 19 sentences sentence NOUN 3t945q50s14 9 20 of of ADP 3t945q50s14 9 21 finitely finitely ADV 3t945q50s14 9 22 generated generate VERB 3t945q50s14 9 23 structures structure NOUN 3t945q50s14 9 24 can can AUX 3t945q50s14 9 25 be be AUX 3t945q50s14 9 26 lifted lift VERB 3t945q50s14 9 27 . . PUNCT