Question: Consider the following language: L = {w in {0,1}* such that w is of the form x0101x where x is some sequence in {0,1}*} Prove

Consider the following language:

L = {w in {0,1}* such that w is of the form x0101x where x is some sequence in {0,1}*}

Prove that L is not regular.

Use the pumping lemma for regular languages.

Show a pushdown automaton for L.

Show a context-free grammar for L.

Your PDA rejects 00010101 and accepts 11010111.

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