(I) Given the description of L1 and L2 as regular in the form of acceptors M1 and M2. Show that the following languages are regular by constructing an automaton using generic descriptions of M below: (i) L1 U L2 (ii) L1 L2 (iii) L₁ complement (iv) L₁* (v) L₁R M owo
(I) Given the description of L1 and L2 as regular in the form of acceptors M1 and M2. Show that the following languages are regular by constructing an automaton using generic descriptions of M below: (i) L1 U L2 (ii) L1 L2 (iii) L₁ complement (iv) L₁* (v) L₁R M owo
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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Transcribed Image Text:(I) Given the description of L1 and L2 as regular in the form of acceptors M1 and
M2. Show that the following languages are regular by constructing an
automaton using generic descriptions of M below:
M
(i) L1 U L2
(ii) L1 L2
(iii) L₁ complement
(iv) L₁*
(v) L₁R
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Step 1: Constructing a Union Machine from M1 and M2
VIEWStep 2: i) For the language L1 ∪ L2:
VIEWStep 3: ii) To construct M for L1 . L2:
VIEWStep 4: iii) To construct M for L1 complement (¬L1):
VIEWStep 5: iv) To construct M for L1* (Kleene closure):
VIEWStep 6: v) To construct M for L1R (Reverse of L1):
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