1. For each of the following deterministic finite automata(a) State the pumping length p,(b) Give two different strings of length p or greater that are accepted by the DFA and decompose each of thestrings into the x, y, and z substrings so that the conclusions of the pumping lemma holds, and,(c) For one of the your strings, highlight a loop in the state diagram that corresponds to the substring y.18-0-00a, bbaa, b

Answered: 1. For each of the following…

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. For each of the following deterministic finite automata
(a) State the pumping length p,
(b) Give two different strings of length p or greater that are accepted by the DFA and decompose each of the
strings into the x, y, and z substrings so that the conclusions of the pumping lemma holds, and,
(c) For one of the your strings, highlight a loop in the state diagram that corresponds to the substring y.
1
8-0-00
a, b
b
a
a, b

Expert Solution

Step 1: Introduce DFA and Pumping lemma:

Deterministic Finite Automata (DFAs) are fundamental in automata theory and formal language theory. They serve as models of computation for recognizing regular languages and are characterized by a finite set of states, an alphabet of input symbols, and a transition function that specifies how the automaton processes input. The pumping lemma is a crucial tool for proving properties about regular languages and their DFAs.

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