L1={U€E•[u ends with aa}. 12 = {u €I•|u ends and begins with different letters }. L3 = {u €E•|U contains abba}. L4 = {u €X•[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 n L2. (b) Prove that L5 is regular.

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
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L1={u €E•[u ends with aa}.
12 = {u €E•[u ends and begins with different letters }.
L3 = {u €I•|u contains abba).
L4 = {u €E•[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 n L2.
(b) Prove that L5 is regular.
Transcribed Image Text:L1={u €E•[u ends with aa}. 12 = {u €E•[u ends and begins with different letters }. L3 = {u €I•|u contains abba). L4 = {u €E•[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 n L2. (b) Prove that L5 is regular.
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