Design algorithms for testing the following decision properties. Find the worst-case time complexity of both algorithms in O-notation, and discuss (in 1 or 2 lines) how you obtained such a complexity. a) Given a DFA A of a language L, is L empty? The input to the algorithm is A = {Q, E, 8, qo, F}. b) Given two DFAS, A and B, are the languages of A and B equivalent? The inputs to the algorithm are A and B. Hint: Consider the test for equivalence by constructing the product DFA.

Design algorithms for testing the following decision properties. Find the worst-case time complexity of both algorithms in O-notation, and discuss (in 1 or 2 lines) how you obtained such a complexity. a) Given a DFA A of a language L, is L empty? The input to the algorithm is A = {Q, E, 8, qo, F}. b) Given two DFAS, A and B, are the languages of A and B equivalent? The inputs to the algorithm are A and B. Hint: Consider the test for equivalence by constructing the product DFA.

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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Question

1. Design algorithms for testing the following decision properties. Find the worst-case time complexity of both
algorithms in O-notation, and discuss (in 1 or 2 lines) how you obtained such a complexity.
a) Given a DFA A of a language L, is L empty? The input to the algorithm is A = {Q, E, 8, qo, F}.
b) Given two DFAS, A and B, are the languages of A and B equivalent? The inputs to the algorithm are A
and B. Hint: Consider the test for equivalence by constructing the product DFA.

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