3. Let S={ab, bb} and T={ab, bb, bbb}. Show that S*≠T* but that S*⊂T*. 4. Write the regular expression for the language of all strings, over alphabet {a, b}, that end in a double letter, i.e. ending in aa or bb but not ab or ba

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Subject - Theory of Computing

Please do no. 3 & no 4 and make sure you write the no for wich one you provided answer. Thanks in advance

3. Let S={ab, bb} and T={ab, bb, bbb}. Show that S*≠T* but that S*⊂T*.
4. Write the regular expression for the language of all strings, over alphabet {a, b}, that end in a double letter, i.e. ending in aa or bb but not ab or ba
5. Draw Deterministic Finite Automata to accept the following sets of strings, over the alphabet {0,1}, that contain exactly four 0s (not necessarily consecutive zeros)

6. Write the regular expression for the language of all strings, over alphabe that end  t {0, 1}, the set of all strings in which every pair of adjacent zeros appears before any pair of adjacent ones. Justify

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