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Describe grammar.

  1. Variables/Non-terminals (V): These are symbols that represent categories or groups of words in the language. They’re typically denoted by capital letters like A, B, C, etc.
  2. Terminals (T): Terminals are the actual words or symbols in the language. They’re the building blocks of sentences. Terminals are usually represented by lowercase letters or symbols like a, b, c, x, y, z, etc.
  3. Productions (P): Productions are rules that dictate how variables and terminals can be combined to form phrases or sentences. Each production is in the form α → β, where α and β are strings made up of a combination of variables and terminals. α must contain at least one variable. These rules are sometimes called rewriting rules.
  4. Starting Symbol (S): This is a special variable or non-terminal that indicates where the construction of sentences or phrases begins.

When writing a grammar, it’s important to ensure that variables and terminals are distinct, meaning no terminal can be a non-terminal and vice versa. In other words, there should be no overlap between the sets V and T.

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