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Outline 1 Why CFGs are not enough (for linguists) 2 Introduction to Tree-Adjoining Grammars 3 An Algorithm for Parsing TAGs Preliminaries The Recognizer Algorithm Complexity and Extensibility 4 LTAG-Spinal Parser 28 / 52
TAG Parsing Parser: Given a string s and a TAG G = (N, T , I , A, S), find all derived trees in L tree (G) which yield s. We will start with a simpler problem: Recognizer: Given a string s and a TAG G = (N, T , I , A, S), decide whether s ∈ L string (G). Further simplification: We will only consider the adjunction operation for now. 29 / 52
Page 1 and 2: Lexicalized Tree-Adjoining Grammars
Page 3 and 4: Context-Free Grammars Definition (C
Page 5 and 6: Tree-Substitution Grammars Example
Page 7 and 8: Outline 1 Why CFGs are not enough (
Page 9 and 10: Cross-Serial Dependencies Example (
Page 11 and 12: Lexicalization Example (Lexicalized
Page 13 and 14: Lexicalization Example (CFG which i
Page 15 and 16: Outline 1 Why CFGs are not enough (
Page 17 and 18: Initial Trees Definition (Initial T
Page 19 and 20: Substitution Definition (Substituti
Page 21 and 22: Adjunction Definition (Adjunction)
Page 23 and 24: Adjunction Constraints Given TAG G
Page 25 and 26: Lexicalization Example (strong lexi
Page 27: Further Formal Properties of TAL Tr
Page 31 and 32: Recognizing Adjunction But the algo
Page 33 and 34: Dotted Tree We introduce the notion
Page 35 and 36: Chart Items The algorithm stores in
Page 37 and 38: Scan Operations Input string: c 1
Page 39 and 40: Complete Operations 1 2 3 [γ, adr,
Page 41 and 42: Recognizer Algorithm Algorithm (Rec
Page 43 and 44: Complexity of Recognizer Given: n:
Page 45 and 46: Recognizing Substitution Recognizer
Page 47 and 48: LTAG-Spinal Parser LTAG-spinal: Rou
Page 49 and 50: LTAG-Spinal Parser Graphical repres
Page 51 and 52: Conclusion TAG: a grammar formalism

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