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Construct a state transition diagram of a DFA that accepts all string over {a,b, … , z, 0, 1, …, 9} that start with a digit (0-9), contain string ‘utm50’ and end with a letter (a-z).

Construct a state transition diagram of a DFA that accepts all string over {a,b, … , z, 0, 1, …, 9} that start with a digit (0-9), contain string ‘utm50’ and end with a letter (a-z).

Computer Networking: A Top-Down Approach (7th Edition)
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Construct a state transition diagram of a DFA that accepts all string over {a,b, … , z, 0, 1, …, 9} that start with a digit (0-9), contain string ‘utm50’ and end with a letter (a-z).

 

1. Let M = ({qo. q1, q2, q3, q4. qs}, {a, b, c, d}, qo. fs {q4. q5}) be the Deterministic Finite Automaton (DFA) with state transition function, f; defined as follows: f(qo, a) = q1 f (qo, b) = q 3 f(q0, c) = q2 f(q0, d) = q3 f(q1, a) = q 1 f(q1, b) = q4 f(q1, c) = q 1 f(q1, d) = q1 f(q2, a) = q2 f(q2, b) = q2 f(q2, c) = q2 f(q2, d) = qs f(q3, a) = q3 f(q3, b) = q 3 f(q3, c) = q3 f(q3, d) = q3 f(q4, a) = q1 f(q4, b) = q4 f(q4, c) = q1 f(q4, d) = q1 f(q5, a) = q2 f(qs, b) = q2 f(q5, c) = q2 f(q5, d) = qs
Transcribed Image Text:1. Let M = ({qo. q1, q2, q3, q4. qs}, {a, b, c, d}, qo. fs {q4. q5}) be the Deterministic Finite Automaton (DFA) with state transition function, f; defined as follows: f(qo, a) = q1 f (qo, b) = q 3 f(q0, c) = q2 f(q0, d) = q3 f(q1, a) = q 1 f(q1, b) = q4 f(q1, c) = q 1 f(q1, d) = q1 f(q2, a) = q2 f(q2, b) = q2 f(q2, c) = q2 f(q2, d) = qs f(q3, a) = q3 f(q3, b) = q 3 f(q3, c) = q3 f(q3, d) = q3 f(q4, a) = q1 f(q4, b) = q4 f(q4, c) = q1 f(q4, d) = q1 f(q5, a) = q2 f(qs, b) = q2 f(q5, c) = q2 f(q5, d) = qs
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