For any string w = w1w2 · · · wn, the reverse of w, written w R, is the string w in reverse order, wn · · · w2w1. For any language A, let A R = {w R| w ∈ A}. Show that if A is regular, so is A R.

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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I am currently grappling with 1.31 and would appreciate your assistance. The task involves constructing a state diagram, and I am finding it confusing with no clear starting point. Could you help me by providing a visual aid, possibly incorporating circles, to enhance my understanding of the concept? Specifically, I am seeking guidance on 1.31. Thank you for your support.

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1.31 For any string w = w1w2 · · · wn, the reverse of w, written w R, is the string w in reverse order, wn · · · w2w1. For any language A, let A R = {w R| w ∈ A}. Show that if A is regular, so is A R.

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