6. (10 marks) Let = {'[', ']',',', '0', '1'}, and let L6 C * be the...
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6. (10 marks) Let = {'[', ']',',', '0', '1'}, and let L6 C Σ* be the language containing list representations of finite sets of binary strings: i.e., every string x Le is of the form x = '[x0,x1,..., In]', where: ⚫for all 0 < i < n, x, is a string in {0,1}*, and none of the axis repeat: if i j, then x, xj. Show that L6 is not regular. 6. (10 marks) Let = {'[', ']',',', '0', '1'}, and let L6 C Σ* be the language containing list representations of finite sets of binary strings: i.e., every string x Le is of the form x = '[x0,x1,..., In]', where: ⚫for all 0 < i < n, x, is a string in {0,1}*, and none of the axis repeat: if i j, then x, xj. Show that L6 is not regular.
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