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Can this DFA accept string 101?

Posted on July 15, 2021 by Author

Table of Contents

  • 1 Can this DFA accept string 101?
  • 2 What is substring in regular expression?
  • 3 How do you draw a DFA for a string starting with 101?
  • 4 How do you find the length of a substring in DFA?

Can this DFA accept string 101?

In the given solution, we can see that only input 101 will be accepted. Hence, for input 101, there is no other path shown for other input.

What is substring in regular expression?

REGEXP_SUBSTR extends the functionality of the SUBSTR function by letting you search a string for a regular expression pattern. It is also similar to REGEXP_INSTR , but instead of returning the position of the substring, it returns the substring itself. pattern is the regular expression.

How is DFA calculated?

A DFA is represented by digraphs called state diagram.

  1. The vertices represent the states.
  2. The arcs labeled with an input alphabet show the transitions.
  3. The initial state is denoted by an empty single incoming arc.
  4. The final state is indicated by double circles.
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What is the difference between NFA and DFA with Example?

NFA refers to Nondeterministic Finite Automaton. A Finite Automata(FA) is said to be non deterministic, if there is more than one possible transition from one state on the same input symbol….Difference between DFA and NFA :

SR.NO. DFA NFA
9 All DFA are NFA. Not all NFA are DFA.
10 DFA requires more space. NFA requires less space then DFA.

How do you draw a DFA for a string starting with 101?

Draw a DFA for the language accepting strings starting with ‘101’ over input alphabets ∑ = {0, 1} All strings of the language starts with substring “101”. So, length of substring = 3. Thus, Minimum number of states required in the DFA = 3 + 2 = 5. It suggests that minimized DFA will have 5 states.

How do you find the length of a substring in DFA?

Construct a DFA that accepts a language L over input alphabets ∑ = {a, b} such that L is the set of all strings starting with ‘aba’. All strings of the language starts with substring “aba”. So, length of substring = 3.

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How to design an automata with ‘101’ as a substring?

Basically we need to design an automata that accepts language containing strings which have ‘101’ as substring. This means that we can reach final state in DFA only when ‘101’ occur in succession. Step 1. The smallest possible valid string is ‘101’ so from initial state q0, upon giving ‘101’ we should reach final state q3.

How do you avoid a particular string in a DFA?

The Here is a general strategy for constructing a DFA that avoids a particular string w = a 1 a 2 ⋯ a n (i.e., the string is called w, has length n, and is made up of the characters a 1, a 2, and so on, up to a n ). First, you create one state for each prefix of your string, i.e., ε, a 1, a 1 a 2, a 1 a 2 a 3, and so on up to the entire string, w.

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