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THEORY OF COMPUTATION


Q161. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a pda}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 intersection L1 is empty


Q162. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a pda}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 contains all strings over the terminal vocabulary



Q163. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a pda}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 = L1



Q164. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a pda}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 is contained in L1



Q165. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a finite automata}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 = L1



Q166. Let L1={<M>| M is the encoding of a pda} and w is a string in (0+1)*. Let L2={<M>| M is the encoding of a pda}. The following problems are decidable(choose the false statement)

a. Whether L1 contains w

b. Whether L1 is empty

c. Whether L1 is infinite

d. Whether L2 intersection L1 is empty



Q167. Ram comes up with a universal language for cfls, Lucfl={<M,x>|M is the encoding of a pda that accepts w}. Choose the correct statement

a.Lucfl is a decidable language

b. Lucfl is partially decidable but not decidable

c.Lucfl is not partially decidable

d. Lucfl cannot exist



Q168. Ram comes up with a universal language for dcfls, Ludcfl={<M,x>|M is the encoding of a dpda that accepts w}. Choose the correct statement

a.Ludcfl is a decidable language

b. Ludcfl is partially decidable but not decidable

c.Ludcfl is not partially decidable

d. Ludcfl cannot exist



Q169. Ram comes up with a universal language for labas, Lulba={<M,x>|M is the encoding of a lba that accepts w}. Choose the correct statement

a.Lulba is a decidable language

b. Lulba is partially decidable but not decidable

c.Lulba is not partially decidable

d. Lulba cannot exist



Q170. Ram comes up with a universal language for turing machines, Lu={<M,x>|M is the encoding of a turing that accepts w}. Choose the correct statement

a.Lu is a decidable language

b. Lul is partially decidable but not decidable

c.Lul is not partially decidable

d. Lul cannot exist



Q171. Ram comes up with a universal language for halting turing machines, Lu={<M,x>|M is the encoding of a halting turing machine that accepts w}. Choose the correct statement

a.Lu is a decidable language

b. Lu is partially decidable but not decidable

c.Lu is not partially decidable

d. Lu cannot exist



Q172. Let L0={<M,w,0>| M is the encoding of a pda that halts on input w} and let L1={<M,x,1>| M is the encoding of a pda that does not halt on input w}

Define a language L=L0UL1.

What can be said about L?

a. L is decidable

b. L is partially decidable but not decidable

c. L is not partially decidable

d. L is accepted by a pda



Q173. Let L0={<M,w,0>| M is the encoding of a lba that halts on input w} and let L1={<M,x,1>| M is the encoding of a lba that does not halt on input w}

Define a language L=L0UL1.

What can be said about L?

a. L is decidable

b. L is partially decidable but not decidable

c. L is not partially decidable

d. L is accepted by a pda



Q174. The following problems of csls are decidable

a. the equivalence problem

b.the containment problem

c. the membership problem

d. the completeness problem



Q175.The following problems of csls are decidable

a. the emptiness problem

b.the finiteness problem

c. the infiniteness problem

d. whether the intersection of two csls is a csl



Q176. The following problems of csls are decidable

a. the equivalence problem

b. whether the intersection of two csls is empty

c. the regularity problem

d. whether the complement of a csl is a recursive set



Q177. The following problems of recursive sets are decidable

a. the membership problem

b. the emptiness problem

c.the completeness problem

d. the finiteness problem



Q178. The following problems of recursive sets are decidable

a. the infiniteness problem

b. the equivalence problem

c. the containment problem

d.whether the complement is recursive



Q179. The following problems of recursive sets are decidable

a. whether the recursive language is equal to a regular set R

b. the regularity problem

c. the equivalence problem

d. the completeness problem



Q180. The following problems of recursive sets are decidable

a. the halting problem

b. the equivalence to a given r.e. set

c. the equivalence to a given csl

d. the equivalence to a given cfl



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