CMPS 130 Computational Models Homework Assignment 7 solution


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• Read Myhill-Nerode handout in the ecommons resources folder.
• Use the Myhill-Nerode Theorem to prove that the languages in Exercise 1.29 (a and c), page
88 and Problem 1.46 (b and c) page 90, are not regular.
• Prove any language of your choice is regular with the Myhill-Nerode theorem. Could you
have done the proof (of regularity) with the Pumping Lemma?
• Read chapter 2 of the book at least through page 105 2nd ed, 107 3rd ed.
• Exercises 2.3 and 2.4, page 128 2nd ed, 155 3rd ed.
• Give a CFG for the language {x ∈ {a, b}

| x 6= ww for some w ∈ {a, b}
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