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THEORY OF COMPUTATION sample questions

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Printed Date: 22Feb2025 at 11:39am


Topic: THEORY OF COMPUTATION sample questions
Posted By: Priya
Subject: THEORY OF COMPUTATION sample questions
Date Posted: 09Feb2007 at 4:12pm


THEORY OF COMPUTATION


Q101. The language {a^mb^nc^(m+n)|m,n>=1} is

A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



[GATE 2004]

Q102. The language {a0^n 1^n|n>=1} U{b0^n 1^2n|n>=1} is

A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q104. The language {a0^n 1^n|n>=1} U{b0^n 1^2n|n>=1} is

A. regular

B.deterministic context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q105. The language {a0^n 1^n|n>=1} U{b0^n 1^2n|n>=1}U {c0^n 1^4n
|n>1} is


A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q106. The language {a0^n 1^n|n>=1} U{b0^n 1^2n|n>=1}U {0^n1^89n|n>=1} is

A. regular

B.deterministic context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q107. The language {awwRbxxRcyyR|x,y,z in {0,1}*}is

A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q108. The language {awwRbxxRcyyRdwwR|x,y,w in (0+1)*}is

A. regular

B.deterministic context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q109. A language denoted by a semi-extended regular expression which is regular expression with the additional operation of intersection of regular expressions is

A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q110. A language denoted by extended regular expressions which is regular expressions with the operations of intersection and complementation is

A. regular

B.deterministic context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q111. The language {w#wR#|w in (0+1)+} U{wwR|w in ()+1+2)*} is

A. regular

B.context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q112. The language {a0^n 1^n 2^n|n>=1} U{b0^n 1^2n|n>=1}U {0^n1^89n|n>=1} is

A. regular

B.deterministic context-free but not regular

C. context-sensitive but not context-free

D. type0 but not context sensitive



Q113. Choose the false statement. The regular sets are closed under

A. intersection

B. union

C. complement

D. inverse substitution



Q114. Choose the false statement. The regular sets are closed under

A. MAX

B. MIN

C. INIT

D. inverse substitution



Q115. Choose the false statement. The regular sets are closed under

A. CYCLE

B. INTERLEAVING

C. REVERSAL

D. inverse substitution



Q116. Choose the false statement. The regular sets are closed under

A. intersection

B. SUBSTITUTION

C. complement

D. inverse substitution



Q117. Choose the false statement. The regular sets are closed under

A. quotient with a regular set

B. quotient with a context free language

C. quotient with a context-free language

D. inverse substitution





Q118. Choose the false statement. The regular sets are closed under

A. quotient with a recusive set

B. quotient with a r.e. language

C. quotient with any formal language

D. inverse substitution



Q119. Choose the false statement. The regular sets are closed under

A. Kleene closure

B. quotient with a context free language

C. quotient with a context-free language

D. inverse substitution



Q120. Choose the false statement. Let L be any formal language

A. L* is regular

B. L* is not necessaily regular

C. L* is context-free and not regular

D. L* is r.e. and not recursive



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