Context-Free Grammars (CFGs) are formal systems used to define the syntax of programming languages and natural languages, allowing the generation of strings from a set of production rules. They are essential in the design of compilers and interpreters, enabling the parsing and analysis of language constructs through a hierarchy of grammatical structures.

Context-Free Grammars

A formal system is a structured framework consisting of a set of symbols, rules for forming expressions, and rules for deriving conclusions, used to model and analyze logical reasoning. It is foundational in fields like mathematics, computer science, and logic, providing a rigorous basis for proving theorems and verifying algorithms.

formal systems

syntax of programming languages

Syntax of natural languages

generation of strings

set of production rules

design of compilers

Design of interpreters

parsing and analysis of language constructs

hierarchy of grammatical structures

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