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Which is a correct grammar for the following language over the alphabet A = (#, 0, 1}

L = {(01)ⁿ # In >=0}
A. SOS1 | #
B.S1S0 | #
C.S01S | #
D.SS01 | #

User Kamille
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1 Answer

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Final answer:

The correct grammar for the language L = n ≥ 0 over the alphabet A = {#, 0, 1} is not fully presented among the options, but option C is the closest. A more accurate representation would be using regular expressions such as '(01)*#'. (option C)

Step-by-step explanation:

The question is asking for the correct grammar of a given language over the alphabet A = {#, 0, 1}. The language is defined as L = n ≥ 0, meaning that the language consists of n repetitions of the pattern '01' followed by a '#', where n is greater than or equal to zero.

The correct grammar that generates this language is not provided in the options because grammar usually demonstrates how strings in a language are derived using production rules. However, the closest option to a correct form would be option C. S→01S | # because it recursively generates '01' multiple times until the termination symbol '#' is added.

Option C partially reflects the regular expression that would define the language, which would be more accurately stated as '(01)*#', meaning the sequence '01' can be repeated zero or more times followed by a '#'.

User Chebaby
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