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Write the ô function for the following transition graphs (1) dia (δ4 : QxΣ~ Q)

Write the ô function for the following transition graphs (1) dia (δ4 : QxΣ~ Q)

Database System Concepts
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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**1. Write the δ function for the following transition graphs** **(1) DFA (\(\delta_{DFA} : Q \times \Sigma \rightarrow Q\))** Diagram Explanation: - The DFA consists of three states: \( q_0, q_1, q_2 \). - Transition from \( q_0 \) to \( q_1 \) with input \( a \). - Transition from \( q_0 \) to \( q_2 \) with input \( b \). - Transition from \( q_1 \) to itself (loop) with inputs \( a \) and \( b \). - Transition from \( q_2 \) to itself (loop) with inputs \( a \) and \( b \). **(2) NFA (\(\delta_{NFA} : Q \times (\Sigma \cup \{ \lambda \}) \rightarrow P(Q)\))** Diagram Explanation: - The NFA consists of three states: \( q_0, q_1, q_2 \). - Transition from \( q_0 \) to \( q_1 \) with input \( a \). - Transition from \( q_1 \) to itself (loop) with inputs \( a \) and \( b \). - Transition from \( q_1 \) to \( q_2 \) with input \( \lambda \) (epsilon transition). - Transition from \( q_0 \) to \( q_2 \) with input \( b \).
Transcribed Image Text:**1. Write the δ function for the following transition graphs** **(1) DFA (\(\delta_{DFA} : Q \times \Sigma \rightarrow Q\))** Diagram Explanation: - The DFA consists of three states: \( q_0, q_1, q_2 \). - Transition from \( q_0 \) to \( q_1 \) with input \( a \). - Transition from \( q_0 \) to \( q_2 \) with input \( b \). - Transition from \( q_1 \) to itself (loop) with inputs \( a \) and \( b \). - Transition from \( q_2 \) to itself (loop) with inputs \( a \) and \( b \). **(2) NFA (\(\delta_{NFA} : Q \times (\Sigma \cup \{ \lambda \}) \rightarrow P(Q)\))** Diagram Explanation: - The NFA consists of three states: \( q_0, q_1, q_2 \). - Transition from \( q_0 \) to \( q_1 \) with input \( a \). - Transition from \( q_1 \) to itself (loop) with inputs \( a \) and \( b \). - Transition from \( q_1 \) to \( q_2 \) with input \( \lambda \) (epsilon transition). - Transition from \( q_0 \) to \( q_2 \) with input \( b \).
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