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Write the LMD, RMD and parse tree for the string '+ xyxy' using the grammar

        


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Write short note on:

Chomsky hierarchy

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Applications of context-free languages

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Post's correspondence problem

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Multitape turing machine 

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Design a turing machine for the language L =. Write the transition diagram for the same and also, indicate the moves made by the turing machine for the input 'aabb'. 

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Define a turing machine and explain the working of a basic turing machine with a neat diagram. 

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Prove that the family of context-free languages is closed under union, concatenation and star-closure 

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Define CNF and convert the following grammar into CNP.

    

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Eliminate the useless symbols and productions from the following grammar.

  

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Convert the following CFG to an equivalent PDA:

    

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Design a PDA for the language Draw the transition diagram and also write the sequence od ID's for the string 'abba'. 

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Define a PDA and explain the working of it with a neat diagram

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What is an ambiguous grammar? Show that the following grammar is ambiguous:

      

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Define the following with examples:

i) Alphabet,

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Define CFG. Design CFG's for the following languages:

ii) L= 

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Define CFG. Design CFG's for the following languages:

i) L = 

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Minimize the following DFA using table filling algorithm.

                    

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Show that the language L = is not regular.

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State and prove pumping lemma for regular languages.

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Write the NFA for the regular expression ab(a + b)*.

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Prove that every language defined by a regular expression is also defined by a finite automation 

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Define a regular expression. Also write the regular expressions for the following languages.

ii) L =

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Define a regular expression. Also write the regular expressions for the following languages.

i) The set of all strings ending in the substring '00' on  = (0,1)

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Convert the following NFA to its equivalent DFA.


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Define DFA. Write the DFA's for the following languages on 

ii) 

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Define DFA. Write the DFA's for the following languages on 

i) The set of all strings containing the substring 'ab'.

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Define the following with examples:

ii) String.

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