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1. $L = \{wxw | w,x ∈ \{{a,b}\}^*\} $

Here, <math>L</math> can generate all strings in <math>\Sigma^*</math>, by making <math>x = (a+b)^*</math> and <math>w = \epsilon</math>. Hence, <math>L</math> is regular.


2. $L = \{wxw| w,x ∈ \{{a,b}\}^+\}$

Here, L is not generating all strings in <math>\Sigma^*</math> as the strings like abab are not generated by L. L is actually accepting all strings except those of the form <math>ww, w \in (a+b)^*</math>. To do this is not we need at least an <math>LBA</math> making <math>L</math>, a <math>CSL</math>.

1.WW | such that W=(a+b)* 2.WW | such that W=(a+b)+ 6.WWr | such that W=(a+b)* 7.WWr| such that W=(a+b)+ 8.1.WXWr | such that W,X=(a+b)* 9.WXWr | such that W,X=(a+b)+