1. Let L be the set of strings in fa, b}* that contain an even number of a's and also an even number of b's. Let r = (ablba)(aa|bb) (ab|ba)|(aa|bb))". Show that w e L = w e L(r) by strong induction on Jw. Hint: In the inductive step consider a process of removing pairs of symbols from the front of w.

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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1. Let L be the set of strings in {a, b}* that contain an even number of a's and also
an even number of b's. Let r = ((ab|ba)(aa|bb)*(ab|ba)|(aa|bb))*. Show that w E L →
we L(r) by strong induction on Jw. Hint: In the inductive step consider a process of
removing pairs of symbols from the front of w.
Transcribed Image Text:1. Let L be the set of strings in {a, b}* that contain an even number of a's and also an even number of b's. Let r = ((ab|ba)(aa|bb)*(ab|ba)|(aa|bb))*. Show that w E L → we L(r) by strong induction on Jw. Hint: In the inductive step consider a process of removing pairs of symbols from the front of w.
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