Left corner
The left corner of a production rule in a context-free grammar is the left-most symbol on the right side of the rule.[1]
For example, in the rule A→Xα, X is the left corner.
The left corner table associates a symbol with all possible left corners for that symbol, and the left corners of those symbols, etc.
Given the grammar
- S→VP
- S→NP VP
- VP→V NP
- NP→DET N
| Symbol | Left corner(s) |
|---|---|
| S | VP, NP, V, DET |
| NP | DET |
| VP | V |
Left corners are used to add bottom-up filtering of a top-down parser.
You can use the left corners to do top-down filtering of a bottom-up parser.
References
- 9.3 Using Left-corner Tables, Patrick Blackburn and Kristina Striegnitz, Natural Language Processing Techniques in Prolog
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