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CS402 Theory of Automata Assignment#05 Solution & Discussion Due Date: 07-07-2011

Theory of Automata (CS402)

Assignment No.5

 

Deadline

Your assignment must be uploaded before or on 7th July, 2011 [Try to upload your solution well before due date to avoid any issue] 

 

Rules for Marking

 

It should be clear that your assignment will not get any credit if:

  • The assignment is submitted after due date
  • The assignment is copied

 

Objectives

Objective of this assignment is to make students able to understand the following concepts,

 

  • CNF
  • PDA

 

Question No.1

CNF

Convert the CFG (Context Free Grammar) given below to CNF (Chomsky Normal Form)

 

 


Question No.2

PDA

Design Push Down Automata (PDA) for

 

(ba)n(ab)n                  n = 1,2,3…

 

 

Hint:          

You can push single a on reading ‘ba’ (in loop) and once you get ‘a’ again after reading ‘ba’ start popping pushed a’s against each occurrence of ‘ab’ . You will move to accept state if you have empty stack (∆ on pop) on finish of input string (reading ∆)

 

                                       

 

 

Assignment Uploading Instructions:

Upload single word file in word 2003 format having solutions for all questions.

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Please Discuss here about this assignment.Thanks

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Question No.1 CNF
Convert the CFG (Context Free Grammar) given below to CNF (Chomsky Normal Form)
Solution
To convert the above CFG to be in CNF, introduce the new productions as
X --> xxy, Y --> Xw then the new CFG will be.

S --> XYX
X --> XXY
Y --> XW

Introduce non- terminals so that,

S -->XR1
R1 -->YX
X --> XR2
R2 --> XY
Y --> XW
X --> xxy
Y --> Xw
what about second question
See the attached file for one more idea solution of CS402 Assignment#05 Spring 2011

Read more: CS402 - Theory of Automata ASSIGNMENT # 05 Solution - Virtual Unive... http://vustudents.ning.com/group/cs402theoryofautomata/forum/topics...
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