Design a deterministic finite-state automaton over the alphabet {a; b; c}that accepts words where each character is immediately followed by atleast one identical character. For example, it accepts the wordsY(gamma sigh), aa, aaa,aabbbbaacc, but it rejects the words a, baba, cbbba. Write the transition function of the automaton as a table and draw the automaton in the form of a transition diagram. Try to design the simplest possible automaton, i.e., an automaton with the smallest number of states. Design a deterministic finite-state automaton over the alphabet {a, b, c}that accepts words where each character is immediately followed by atleast one identical character. For example, it accepts the words X, aa, aaa,aabbbbaacc, but it rejects the words a, baba, cbbba. Write the transitionfunction of the automaton as a table and draw the automaton in the formof a transition diagram. Try to design the simplest possible automaton,i.e., an automaton with the smallest number of states.

Answered: Design a deterministic finite-state…

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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Design a deterministic finite-state automaton over the alphabet {a; b; c}
that accepts words where each character is immediately followed by at
least one identical character. For example, it accepts the wordsY(gamma sigh), aa, aaa,aabbbbaacc, but it rejects the words a, baba, cbbba. Write the transition function of the automaton as a table and draw the automaton in the form of a transition diagram. Try to design the simplest possible automaton, i.e., an automaton with the smallest number of states.

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