u ∈ Σ∗| u ends with aa}. L2 = {u ∈ Σ∗| u ends and begins with different letters }. L3 = {u ∈ Σ∗| u contains abba}. L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}. Given the above language

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
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Answer itthe nfa. 

L1 = {u ∈ Σ∗| u ends with aa}.
L2 = {u ∈ Σ∗| u ends and begins with different letters }.
L3 = {u ∈ Σ∗| u contains abba}.
L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}.

Given the above languages:
(a) Use the set operators ‘union’ and ‘complement’ to describe L5 = L1 ∩ L2.
(b) Prove that L5 is regular.
(c) Construct an NFA M that accepts L5, and prove its correctness.? 

 

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