Theory Of Automata Formal Languages (KCA201) - AKTU Question Paper 2024-25
MCA · Semester 2 · Free PDF Download
This is the official AKTU Theory Of Automata Formal Languages Previous Year Question Paper for MCA Semester 2, academic session 2024-25. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
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Questions Asked in 2024-25
Theory Of Automata Formal Languages (KCA201) — complete question paper · 100 marks · 3 Hours
- aDesign a NFA for the language L ={ All strings over {0,1} that have at least two
consecutive 0’s or 1’s.}
- bWhat is -closure of finite automata?
- cDifferentiate between Mealy and Moore machine
- dLet G be the given grammar : Produce left most derivation for string 00110101
- eExplain Halting problem of Turing Machine
- fWhat areType-0 and Type-1 languages according to Chomsky Hierarchy
- hDesign a FA to accept the string that always ends with110. i. What is pumping lemma for regular languages? j. What are the differences between DFA and NDFA?
- aConstruct a minimum state DFA from givenFA
- b(i) Design a DFA which accepts the strings over { 0 , 1}*in which every 00 is followed immediately by a 1. (ii) Consider the below given transition table for NFA
- ab c
Q0 { Q 0} {Q1} Q1 {Q2} {Q2} Draw the transition diagram of NFA with null transition from above table. Convert this NFA to DFA - cGive the formal definition of Push Down Automata. Design a PDA for the
following language: L = { wcwR : w is set of all strings over a and b } - d(i)Eliminate useless grammar symbols from the below given grammar : S → aC| SB A → bSCa B→ aSB | bBC C→ aBC | ad (ii) Reduce the below given grammar production rules into Chomsky Normal Form : S → bA | aB A → bAA | aS | a B→ aBB | bS| b
- eDefine Turing machine mathematically. Illustrate variants of Turing Machines
- aApply Arden’s theorem to find the regular expression corresponding to the finite
automata givenbellow: (b). (i) Construct a Moore machine that take set of all strings over Alp habet {0, 1} as input and produce 'A' as output if input end with (10) or produce 'B' as output if input end with (11) otherwise produce 'C'. (ii) Write the regular expression for L={ anbm:( n + m) iseven } - aUsing Pumping Lemma theorem , prove that the following language L = {anban} is notregular
- bExplain the Closure properties of regularlanguages
- a(i) Design the CFG for the following languages
L = { anb2n cm :n , m >=0 } (ii) What are ambiguous grammars? Identify whether the following grammar rules are ambiguous or not : S → a | abSb | aAb A → bS | aAAb - bUsing Pumping Lemma theorem for context free languages , prove that the following language L = {anbncn} is not ContextFree
- aDesign a two stack PDA for following language L ={anbncndn : n >=1}
- bFor the given CFG create equivalent PDA that accepts same language they generate. Give the steps of instantaneous description to show acceptance of string w = baaab Using obtained PDA
- aDesign a TM for the following language L = { anbn| n≥1}
Design a Turing machine which accepts the language L ={ w(a ,b)* : w has equal number of a’s and b’s } - b(i) Let for ={0 ,1 } , X and Y are lists of three strings each given as below :
X ={ 1 , 10111 , 10} Y ={111 ,10 , 0} Show that 101111110 is a solution for Post Correspondence Problem. (ii) Write short noteson the following: I. Recursive Language and Recursively EnumerableLanguage. II. Linear Bounded Automata
Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.
Repeated Questions — KCA201
Questions that appeared in more than one session, found by comparing 4 years of Theory Of Automata Formal Languages papers (2021-22, 2022-23, 2023-24, 2024-25)
Explain the Closure properties of regularlanguages
Appeared in: 2023-24 · 2024-25
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