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Grammar into normal form

  1. Mar 5, 2009 #1
    Hi everyone,

    I have a grammar to convert into a normal form, but I have no idea how to do that. And from this normal form, I have a lot of other things to do.

    Could you please convert me this grammar into a normal form:

    S --> aQ | a
    Q --> aQ | bbS | bS | b

    Thanks in advance,
     
  2. jcsd
  3. Mar 6, 2009 #2
    It appears that the language generated by this grammar consists of all strings of length at least 1, containing only terminal symbols a and b, such that the string starts with at least 1 a, and has no more than 2 b's in a row.

    Therefore, perhaps...

    S --> AQ | a

    A --> a
    B --> b
    D --> BB

    R --> AQ

    Q --> AQ | DR | DA | BR | BA | b

    Is that what you're after? I just kind of threw that together, so it can probably be cleaned up considerably (if it's right...)
     
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