CS402 Assignment 1 Solution Fall 2021

CS402 Assignment 1 Solution Fall 2021, CS402 Assignment 1 Solution 2021

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CS402 Assignment 1 Solution 2021, CS402 Assignment 1 Solution Fall 2021

Theory of Automata (CS402)

Assignment # 01

Fall 2021

 

Total marks = 20                                                                              

 

Deadline: 14thDec, 2021

 

 

Question No 1:                                                                           Marks:4+6=10

 

  1. Determine which of the following sets have valid / invalid alphabets:

 

Σ1={ a, ab, b, d, ae}

Σ2={a, ba, c, d}

 

  s=abbaaabdbbaa
ways Σ1={ a, ab, b, d, ae} Σ2={a, ba, c, d}
1

 

a   b    b    a    aa    b    d   b   b    a    a

 

a    b   ba   aab   d   b   ba   a
2

 

ab   b    a    aa    b    d    b   b   a    a

 

abba     a   ab   d  b b aa
Valid Alphabets

We have tried two different ways to tokenize the string and it was successfully tokenized with Σ1 characters

invalid Alphabets

This is because we can not tokenized letters according to Σ2. The character (b) does not belong from Σ2 characters

 

 

  1. Consider Σ={ab, baa, c, db} to find the length of the string s=abbaaabdbbaa by tokenizing. Give its reverse Rev (s).

s=abbaaabdbbaa

 

 

Tokenized =(ab)(baa)(ab)(db)(baa)

 

Length      = 5

 

Rev (s)    =    (baa)(db)(ab)(baa)(ab)

 

 

Question No 2:                                                                           Marks:5+5=10

 

  1. Give the regular expression RE over Σ={a,b} for the language of all words having b as a second letter.

 

Answer:

( a + b)  b  + ( a + b) *

 

 

  1. What will be the Finite Automata for above language?

 

Answer:

CS402 assignment 1 solution 2021 CS402 assignment 1 solution fall 2021
CS402 assignment 1 solution 2021 CS402 assignment 1 solution fall 2021

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