The left corner of a production rule in a context-free grammar is the left-most symbol on the right side of the rule.
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.
Famous quotes containing the words left and/or corner:
“Ae spring brought off her master hale,
But left behind her ain grey tail:”
—Robert Burns (17591796)
“Good Lord, for alliance! Thus goes every one to the world but I, and I am sunburnt; I may sit in a corner and cry Heigh-ho for a husband!”
—William Shakespeare (15641616)
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