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.

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:

    “Women ... are the permanent victims.”
    —Jane O’Reilly, U.S. feminist and humorist. The Girl I Left Behind, ch. 6 (1980)

    “There’s only one corner of the universe you can be certain of improving, and that’s your own self.”
    —Aldous Huxley (1894–1963)