Left corner

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In formal language theory, 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 to a symbol 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 the left corner table is as follows. Left corners are used to add bottom-up filtering to a top-down parser, or top-down filtering to a bottom-up parser.

In formal language theory, 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 to a symbol 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 the left corner table is as follows. Left corners are used to add bottom-up filtering to a top-down parser, or top-down filtering to a bottom-up parser.

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