this is from my theory of computation class i need this question is detail ans,
Find a simple and nontrivial characterization of the language {111} ∗{11111} ∗ . Give a proof of the correctness of your answer.
We are given the language {111}*{11111}* which can also be written as {111+11111}* = .
So any string from the language can be written as where and and are non-negative integers.
The set
contains all non-negative integers except 1,2,4,6 and 7.
This is because and so
we must have integers x and y satisfying
. However if we restrict the domain of x and y to non-negative
integers we are not getting some integers, and to be precise the
integers
.
So, we can characterize the language as .
this is from my theory of computation class i need this question is detail ans, Find...
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