The Complexity of Phrase Alignment Problems

@inproceedings{DeNero2008TheCO,
  title={The Complexity of Phrase Alignment Problems},
  author={John DeNero and Dan Klein},
  booktitle={ACL},
  year={2008}
}
Assignment words ensure that two conflicting literals can never be used to satisfy two clauses. Extra literals consistent with the assignment but unnecessary to prove satisfaction are aligned to assignment words, along with inconsistent literals. 3 A non-zero alignment exists if and only if a satisfying assignment to the original 3-SAT instance exists. The satisfying assignment can be interpreted from the phrase alignment. 4 
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