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% 0,1 P 9₁ 92 we a formal description of the finite automaton

% 0,1 P 9₁ 92 we a formal description of the finite automaton

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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Answer B. Thank you
Consider the following finite automaton. % 0 0,1 1 9₁ 0 9₂2 (a) Give a formal description of the finite automaton. (b) Use the procedure described in Lemma 1.60 to convert it to a regular expression
Transcribed Image Text:Consider the following finite automaton. % 0 0,1 1 9₁ 0 9₂2 (a) Give a formal description of the finite automaton. (b) Use the procedure described in Lemma 1.60 to convert it to a regular expression
Expert Solution
Step 1

Finite Automata____________

  • Finite automata are used to recognize patterns.
  • It takes the string of symbol as input and changes its state accordingly. When the desired symbol is found, then the transition occurs.
  • Finite automata have two states, Accept state or Reject state. When the input string is processed successfully, and the automata reached its final state, then it will accept.

Formal Definition of FA

A finite automaton is a collection of 5-tuple (Q, ∑, δ, q0, F), where:

 
  1. Q: finite set of states  
  2. ∑: finite set of the input symbol  
  3. q0: initial state   
  4. F: final state  
  5. δ: Transition function

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