Matching syntactic entities (e.g., parentheses, brackets, or braces) is an impor

Question

Matching syntactic entities (e.g., parentheses, brackets, or braces) is an important aspect of many programming languages. Define a context-free grammar in BNF capable of generating only balanced strings of (nested or flat) matched parentheses. The empty string is not in this language. For instance, the strings (), ()(), (()), (()())(), and (()())()) are sentences in this language, while the strings)(, )(), )()(, (()(), ())((, and ((()()) are not. Note that not all strings with the same number of open and close parentheses are in this language (e.g., the strings)(and)()(are not sentences in this language). State whether your grammar is ambiguous or not and if it is ambiguous, prove that it is ambiguous.

Explanation / Answer

Context-free grammars have sufficient richness to describe the recursive syntactic structure of many (though certainly not all) languages.When describing languages, Backus-Naur form (BNF) is a formal notation for encoding grammars intended for human consumption.Many programming languages, protocols or formats have a BNF description in their specification.

expression for no redundant parenthesis:

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---