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Constraint-Based Grammar Formalisms: Parsing and Type Inference for Natural and Computer Languages Book

Constraint-Based Grammar Formalisms: Parsing and Type Inference for Natural and Computer Languages
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  • Constraint-Based Grammar Formalisms: Parsing and Type Inference for Natural and Computer Languages
  • Written by author Stuart M. Shieber
  • Published by MIT Press, August 2009
  • Constraint-Based Grammar Formalisms provides the first rigorous mathematical and computational basis for this important area. Booknews In this revised version of his Ph.D. dissertation (Stanford U., 1989), Sheiber examines the theoretical
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Preface
1Introduction1
2Constraint Logics for Linguistic Information5
2.1The Structure of Grammatical Information5
2.2The PATR Formalism8
2.3Idealizations of the Constraint-Based View15
2.4Constraint-Based Computer Language Description16
2.5History of Constraint-Based Formalisms18
2.6The Structure of Constraint-Based Formalisms23
2.7Appropriate Logics for Constraint-Based Formalisms25
2.8Properties of Appropriate Constraint-Logic Models31
2.9Operations on Models37
2.10Existence of Appropriate Models for [actual symbol not reproducible]48
3Grammars and Parsing51
3.1Defining Constraint-Based Formalisms51
3.2Grammar Interpretation53
3.3The Abstract Parsing Algorithm57
3.4Auxiliary Notions for Item Semantics62
3.5A Correctness Proof for the Algorithm66
3.6Instances of the Abstract Algorithm78
4A Compendium of Model Classes87
4.1Finite-Tree Models88
4.2Infinite-Tree Models92
4.3Eqtree Models96
4.4Graph Models104
5Parsing as Type Inference117
5.1Natural and Computer Languages118
5.2A Difference in Semantics122
5.3Constraint-Based Computer-Language Formalisms125
5.4Extending [actual symbol not reproducible] with Subsumption Constraints133
5.5Models for [actual symbol not reproducible]137
6Conclusion153
Appendix: Proofs of Properties of [actual symbol not reproducible]157
Glossary169
Bibliography171
Index177


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