What is a parse tree in a formal grammar?

Formal Languages Questions



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What is a parse tree in a formal grammar?

A parse tree in a formal grammar is a graphical representation that shows the hierarchical structure of a sentence or a string of symbols according to the rules of the grammar. It illustrates how the sentence or string can be derived from the start symbol of the grammar by applying production rules. Each node in the parse tree represents a symbol in the grammar, and the edges represent the application of production rules. The leaves of the tree represent the terminal symbols or the input string. Parse trees are used to analyze and understand the syntactic structure of sentences in formal languages.