Sipser 1.3

Read Sipser § 1.3

  1. What does 11* represent?
  2. Explain, in your own words, expression #8 in Example 1.53
  3. There are often multiple NFAs or DFAs to express the same language. Define an NFA that represents example 1.56 with only two states. That is, N = (Q, S, d, q0, F), where Q = {q0, q1}, and S = {a,b}. You fill in the values for d (delta) and F.
  4. Give a regular expression for a language L of strings drawn from the alphabet S = {0,1,-,.} that obey the following properties:
    • All strings in L are strings of binary digits
    • Each string may optionally be preceded by a single (-)
    • Each string may optionally contain a single (.). At least one binary digit must follow the (.) if it appears in the string.
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