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Left-corner parsing Laura Kassner laura.kassner@gmx.de - PowerPoint PPT Presentation

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Left-corner parsing Laura Kassner laura.kassner@gmx.de Computational Linguistics II: Parsing January 10th, 2007 Left-corner parsing Basics Building a left-corner recognizer... ... and transforming it into a parser Comparison to

  1. Building a left-corner recognizer Procedures MOVE => right-hand-side of rule whose left-hand-side is A has been completely processed, A was recognized => push A onto SENTENCE => remove the 't' from CATEGORIES => remove A from CONSTITUENTS

  2. Building a left-corner recognizer Procedures REMOVE

  3. Building a left-corner recognizer Procedures REMOVE Precondition: first(SENTENCE) = first(CATEGORIES)

  4. Building a left-corner recognizer Procedures REMOVE Precondition: first(SENTENCE) = first(CATEGORIES) Input: SENTENCE; CATEGORIES; CONSTITUENTS

  5. Building a left-corner recognizer Procedures REMOVE Precondition: first(SENTENCE) = first(CATEGORIES) Input: SENTENCE; CATEGORIES; CONSTITUENTS Output: pop(SENTENCE); pop(CATEGORIES); CONSTITUENTS

  6. Building a left-corner recognizer Procedures REMOVE => is applied iff first(SENTENCE) is a category k i , a left corner, and this category has been recognized

  7. Building a left-corner recognizer The Algorithm

  8. Building a left-corner recognizer The Algorithm RECOGNIZE LC

  9. Building a left-corner recognizer The Algorithm RECOGNIZE LC Data: CFG G = <N, T, S, R> Lexicon L sentence w = w 1 ... w n , n >= 1

  10. Building a left-corner recognizer The Algorithm RECOGNIZE LC Data: CFG G = <N, T, S, R> Lexicon L sentence w = w 1 ... w n , n >= 1 Input: SENTENCE = [w 1 ... w n ]; CATEGORIES = [S]; CONSTITUENTS = [ ]

  11. Building a left-corner recognizer The Algorithm RECOGNIZE LC Data: CFG G = <N, T, S, R> Lexicon L sentence w = w 1 ... w n , n >= 1 Input: SENTENCE = [w 1 ... w n ]; CATEGORIES = [S]; CONSTITUENTS = [ ] Output: true / false

  12. Building a left-corner recognizer The Algorithm RECOGNIZE LC Method: if (SENTENCE == CATEGORIES == CONSTITUENTS == [ ]) return true; else if (there is a procedure P Є {REDUCE, MOVE, REMOVE} whose preconditions are met) RECOGNIZE LC (P(SENTENCE, CATEGORIES, CONSTITUENTS)); else return false;

  13. Building a left-corner recognizer Example Der Meister sucht einen Fehler

  14. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE

  15. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE

  16. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE

  17. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE

  18. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE

  19. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE

  20. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE

  21. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE

  22. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE

  23. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE

  24. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE

  25. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE [einen Fehler] [NP t VP t S] [VP S] REDUCE

  26. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE [einen Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [t NP t VP t S] [det VP S] MOVE

  27. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE [einen Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [t NP t VP t S] [det VP S] MOVE [det Fehler] [NP t VP t S] [VP S] REDUCE

  28. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE [einen Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [t NP t VP t S] [det VP S] MOVE [det Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [n t NP t VP t S] [NP VP S] REDUCE

  29. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [der Meister su...] [S] [ ] REDUCE [Meister sucht...] [t S] [det] MOVE [det Meister su...] [S] [ ] REDUCE [Meister sucht...] [n t S] [NP] REDUCE [sucht einen F...] [t n t S] [n NP] MOVE [n sucht einen F...] [n t S] [NP] REMOVE [sucht einen F...] [t S] [NP] MOVE [NP sucht einen...] [S] [ ] REDUCE [sucht einen F...] [VP t S] [S] REDUCE [einen Fehler] [t VP t S] [v S] MOVE [v einen Fehler] [VP t S] [S] REDUCE [einen Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [t NP t VP t S] [det VP S] MOVE [det Fehler] [NP t VP t S] [VP S] REDUCE [Fehler] [n t NP t VP t S] [NP VP S] REDUCE [ ] [t n t NP t VP t S] [n NP VP S] MOVE

  30. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE

  31. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE

  32. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE

  33. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE

  34. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE [ ] [t VP t S] [VP S] MOVE

  35. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE [ ] [t VP t S] [VP S] MOVE [VP] [VP t S] [S] REMOVE

  36. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE [ ] [t VP t S] [VP S] MOVE [VP] [VP t S] [S] REMOVE [ ] [t S] [S] MOVE

  37. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE [ ] [t VP t S] [VP S] MOVE [VP] [VP t S] [S] REMOVE [ ] [t S] [S] MOVE [S] [S] [ ] REMOVE

  38. Building a left-corner recognizer Example Der Meister sucht einen Fehler SENTENCE CATEGORIES CONSTITUENTS procedure [ ] [t n t NP t VP t S] [n NP VP S] MOVE [n] [n t NP t VP t S] [NP VP S] REMOVE [ ] [t NP t VP t S] [NP VP S] MOVE [NP] [NP t VP t S] [VP S] REMOVE [ ] [t VP t S] [VP S] MOVE [VP] [VP t S] [S] REMOVE [ ] [t S] [S] MOVE [S] [S] [ ] REMOVE [ ] [ ] [ ] true

  39. Building a left-corner recognizer Why is RECOGNIZE LC non-deterministic?

  40. Building a left-corner recognizer Why is RECOGNIZE LC non-deterministic? ● there may be several rules whose left corner is equal to first(SENTENCE)

  41. Building a left-corner recognizer Why is RECOGNIZE LC non-deterministic? ● there may be several rules whose left corner is equal to first(SENTENCE) ● there may be configurations where you could either REDUCE or REMOVE:

  42. Building a left-corner recognizer Why is RECOGNIZE LC non-deterministic? ● there may be several rules whose left corner is equal to first(SENTENCE) ● there may be configurations where you could either REDUCE or REMOVE: ● a newly created structure can be used to complete the structure we are working at => REMOVE

  43. Building a left-corner recognizer Why is RECOGNIZE LC non-deterministic? ● there may be several rules whose left corner is equal to first(SENTENCE) ● there may be configurations where you could either REDUCE or REMOVE: ● a newly created structure can be used to complete the structure we are working at => REMOVE ● or it could constitute a new structure of its own => REDUCE

  44. Building a left-corner recognizer => use breadth-first or depth-first search to check all possible configurations

  45. Building a left-corner recognizer breadth-first search RECOGNIZE LC/BF Data: CFG G = <N, T, S, R> Lexicon L sentence w = w 1 ... w n , n >= 1 Input: SENTENCE = [w 1 ... w n ]; CATEGORIES = [S]; CONSTITUENTS = [ ] Output: true / false Structures: CONFIGS – set of configurations, null at the beginning

  46. Building a left-corner recognizer breadth-first search RECOGNIZE LC/BF Method: if (SENTENCE == CATEGORIES == CONSTITUENTS == [ ]) return true; else CONFIGS = set of all configurations derivable from the actual configuration using REMOVE, REDUCE or MOVE if (CONFIGS == null) return false; else for every configuration C Є CONFIGS: RECOGNIZE LC/BF (SENTENCE C , CATEGORIES C , CONSTITUENTS C );

  47. Questions?

  48. A left-corner parsing algorithm

  49. A left-corner parsing algorithm ● introduce another stack: STRUCTURE

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