Question

Use the procedure described in Lemma 1.55 to convert the following regular ex-

pressions to nondeterministic finite automata.
a. (OU 1)*000(0 1)*
b. (((00)*(11)) U 01)*
c. 0*

Answer 1

The procedure described in Lemma 1.55 can be used to convert regular expressions to nondeterministic finite automata. Let's consider the given regular expressions and convert them to NFAs.

Step-by-step explanation:

To convert a regular expression to a nondeterministic finite automaton (NFA), we can follow the procedure described in Lemma 1.55. Let's consider the given regular expressions and convert them to NFAs:

1. (OU 1)*000(0 1)*

   This regular expression matches a sequence of 'O' or 'U', followed by zero or more '1', followed by '000', followed by zero or more '0' or '1'. To convert it to an NFA, we can follow the steps in Lemma 1.55.

2. (((00)*(11)) U 01)*

   This regular expression matches a sequence of '00' repeated zero or more times, followed by '11', or '01', repeated zero or more times. To convert it to an NFA, we can use Lemma 1.55.

3. 0*

   This regular expression matches zero or more occurrences of '0'. To convert it to an NFA, we can follow the steps in Lemma 1.55.