1. Which of the following regular expressions best describes L(G), where G is the left-linear grammar { S –→ Ab | Ba , A a | Aa , B → b | Bb }? A. aa*b + bb*a B. ab* + ba* C. (a+b)(a* + b*) 2. Given an NFA M with n states and an arbitrary string x of length p, determining whether or not x is in L(M) can be done in A. O(n+p) B. O(2ª + p) C. O(np) steps.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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1. Which of the following regular expressions best describes L(G), where G is the left-linear
grammar { S → Ab | Ba , A → a| Aa , B → b| Bb }?
A. aa*b + bb*a
B. ab* + ba*
C. (a+b)(a* + b*)
2. Given an NFA M with n states and an arbitrary string x of length p, determining whether
or not x is in L(M) can be done in
A. O(n+p)
В. О(2а + р)
C. O(np)
D. O(p")
steps.
3. What is the simplest regular expression equivalent to (a*b*c* + c*b*a*)* ?
A. (a + b+ c)*
B. (abc + cba)*
C. It is already in its simplest form.
4. What does the egrep pattern "b?[ab]{1,2}" translate into?
A. (b + ɛ)(a + b+ aa + ab + ba + bb)
B. (bal + bb1 + ba2 + bb2)
C. (al + a2 + b1 + b2 + ba1 + ba2 + bb1 + bb2)
Transcribed Image Text:1. Which of the following regular expressions best describes L(G), where G is the left-linear grammar { S → Ab | Ba , A → a| Aa , B → b| Bb }? A. aa*b + bb*a B. ab* + ba* C. (a+b)(a* + b*) 2. Given an NFA M with n states and an arbitrary string x of length p, determining whether or not x is in L(M) can be done in A. O(n+p) В. О(2а + р) C. O(np) D. O(p") steps. 3. What is the simplest regular expression equivalent to (a*b*c* + c*b*a*)* ? A. (a + b+ c)* B. (abc + cba)* C. It is already in its simplest form. 4. What does the egrep pattern "b?[ab]{1,2}" translate into? A. (b + ɛ)(a + b+ aa + ab + ba + bb) B. (bal + bb1 + ba2 + bb2) C. (al + a2 + b1 + b2 + ba1 + ba2 + bb1 + bb2)
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