What is the significance of the Cocke-Younger-Kasami algorithm with two stacks in automata theory?

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What is the significance of the Cocke-Younger-Kasami algorithm with two stacks in automata theory?

The Cocke-Younger-Kasami (CYK) algorithm with two stacks is significant in automata theory as it is used for parsing context-free grammars. It allows for efficient recognition and generation of strings in a given language defined by a context-free grammar. The algorithm utilizes two stacks to store partial parse trees and nonterminals, enabling bottom-up parsing and reducing the time complexity of parsing. The CYK algorithm is widely used in natural language processing, syntax analysis, and compiler design.