Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question 2. Let = {a,b,c} . Let L = { w E I w = s1s2 sa for k z 0 and s,-x y where

image text in transcribed

Question 2. Let = {a,b,c} . Let L = { w E I w = s1s2 sa for k z 0 and s,-x y where each xi consists of any number of a's (that is zero or more), and each yi consists of either the empty string or: bb followed by any number of repetitions of symbol c (that is zero or more)) a) Prove that L is regular by designing a NFA N that satisfies the following constraints: N Q,2,6, go, F with el 3 (that is N has exactly three states), - a.b.ct, F- lgo). Use a state diagram to show . b) Give a DFA D with L(D) = L(N) = L. To build D, follow exactly the algorithm of the DFA design in the proof of the theorem "For every NFA there exists an equivalent DFA" discussed in class. Show your steps. Give the transition table to describe D's transition function c) How many states of DFA D from your answer in b) can be removed from D without changing its language? Question 2. Let = {a,b,c} . Let L = { w E I w = s1s2 sa for k z 0 and s,-x y where each xi consists of any number of a's (that is zero or more), and each yi consists of either the empty string or: bb followed by any number of repetitions of symbol c (that is zero or more)) a) Prove that L is regular by designing a NFA N that satisfies the following constraints: N Q,2,6, go, F with el 3 (that is N has exactly three states), - a.b.ct, F- lgo). Use a state diagram to show . b) Give a DFA D with L(D) = L(N) = L. To build D, follow exactly the algorithm of the DFA design in the proof of the theorem "For every NFA there exists an equivalent DFA" discussed in class. Show your steps. Give the transition table to describe D's transition function c) How many states of DFA D from your answer in b) can be removed from D without changing its language

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Demystifying Databases A Hands On Guide For Database Management

Authors: Shiva Sukula

1st Edition

8170005345, 978-8170005346

More Books

Students also viewed these Databases questions

Question

13-1 How does building new systems produce organizational change?

Answered: 1 week ago