Argue completeness as follows (only some of the cases are requested): • Draw a hill/valley plot in..

Argue completeness as follows (only some of the cases are requested): • Draw a hill/valley plot in which you plot the string beginning with an a. For every a, imagine rising two steps, and for every b, falling one step. • Now consider the case of no zero-crossings. Argue completeness for this case. Hint: if we start with an a, we go up twice. How is it that we can land back on the X-axis without any zerocrossings (i.e. what must such a string end with)? • Now consider exactly one zero-crossing, and write the proof of completeness.

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