Let E be an alphabet and A C E*. (a) If c E £ and AC E*, we define APPEND.(A) as {wc ɛ E* | w E A}. Prove that, if A is a regular language, then APPEND(A) is a regular language. (b) Let Da be a DFA recognizing A. Describe an NFA NA recognizing APPEND.(A) using only one more state than DA. Give a brief argument that your NFA recognizes A.

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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Let E be an alphabet and A C E*.
(a) If c E E and A C E*, we define APPEND(A) as {wc E E* | w E A}. Prove that, if A is a regular language,
then APPEND(A) is a regular language.
(b) Let DA be a DFA recognizing A. Describe an NFA NA recognizing APPENDe(A) using only one more state
than DA. Give a brief argument that your NFA recognizes A.
Transcribed Image Text:Let E be an alphabet and A C E*. (a) If c E E and A C E*, we define APPEND(A) as {wc E E* | w E A}. Prove that, if A is a regular language, then APPEND(A) is a regular language. (b) Let DA be a DFA recognizing A. Describe an NFA NA recognizing APPENDe(A) using only one more state than DA. Give a brief argument that your NFA recognizes A.
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