11. Consider the set of strings on (0,1} defined by the requirements below. For each, construct an accepting dfa. (a) Every 00 is followed immediately by a 1. For example, the strings 101, 0010, 0010011001 are in the language, but 0001 and 00100 are not. (b) All strings that contain the substring 000, but not 0000. (c) The leftmost symbol differs from the rightmost one. (d) Every substring of four symbols has, at most, two 0's. For ex- ample, 001110 and 011001 are in the language, but 10010 is not because one of its substrings, 0010, contains three zeros. (e) All strings of length five or more in which the third symbol from the right end is different from the leftmost symbol.
11. Consider the set of strings on (0,1} defined by the requirements below. For each, construct an accepting dfa. (a) Every 00 is followed immediately by a 1. For example, the strings 101, 0010, 0010011001 are in the language, but 0001 and 00100 are not. (b) All strings that contain the substring 000, but not 0000. (c) The leftmost symbol differs from the rightmost one. (d) Every substring of four symbols has, at most, two 0's. For ex- ample, 001110 and 011001 are in the language, but 10010 is not because one of its substrings, 0010, contains three zeros. (e) All strings of length five or more in which the third symbol from the right end is different from the leftmost symbol.
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
Problem 1PE
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Please solve problem 11 and all of its parts. Write down the DFA where it's easy to understand
![11. Consider the set of strings on (0, 1) defined by the requirements below. For
each, construct an accepting dfa.
(a) Every 00 is followed immediately by a 1. For example, the strings
101, 0010, 0010011001 are in the language, but 0001 and 00100
are not.
(b) All strings that contain the substring 000, but not 0000.
(c) The leftmost symbol differs from the rightmost one.
(d) Every substring of four symbols has, at most, two 0's. For ex-
ample, 001110 and 011001 are in the language, but 10010 is not
because one of its substrings, 0010, contains three zeros.
(e) All strings of length five or more in which the third symbol from
the right end is different from the leftmost symbol.
Chapter 2 Finite Automata
(f) All strings in which the leftmost two symbols and the rightmost
two symbols are identical.
(g) All strings of length four or greater in which the leftmost two
symbols are the same, but different from the rightmost symbol.
if and only if the value of the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb37ae467-8c31-4efc-8db8-c858c82a5f16%2Fba22671f-4965-4678-92c1-3ac9e425bb59%2F7hz5c1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. Consider the set of strings on (0, 1) defined by the requirements below. For
each, construct an accepting dfa.
(a) Every 00 is followed immediately by a 1. For example, the strings
101, 0010, 0010011001 are in the language, but 0001 and 00100
are not.
(b) All strings that contain the substring 000, but not 0000.
(c) The leftmost symbol differs from the rightmost one.
(d) Every substring of four symbols has, at most, two 0's. For ex-
ample, 001110 and 011001 are in the language, but 10010 is not
because one of its substrings, 0010, contains three zeros.
(e) All strings of length five or more in which the third symbol from
the right end is different from the leftmost symbol.
Chapter 2 Finite Automata
(f) All strings in which the leftmost two symbols and the rightmost
two symbols are identical.
(g) All strings of length four or greater in which the leftmost two
symbols are the same, but different from the rightmost symbol.
if and only if the value of the
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Given Data:
Set of the strings on defined by, following
(a) Every 00 is followed immediately by a 1. For example, the strings are in the language, but and are not.
(b) All strings that contain the substring , but not .
(c) The leftmost symbol differs from the rightmost one.
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