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THEORY OF COMPUTATION 4 ## THEORY OF COMPUTATION 4
Which of the following CANNOT be true? Which of the following CANNOT be true? Which of the following CANNOT be true? Which of the following CANNOT be true? Which of the following CANNOT be true? Which of the following CANNOT be true? L0={<M,w,0>|M halts on w} L1={<M,w,1>| M does not halt on w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a turing machine , second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,0>|M halts} L1={<M,1>| M does not halt } Here <M,I> is a pair whose first component, M is an encoding of a turing machine starting with blank tape, second component is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,w,0>|M halts on w} L1={<M,w,1>| M does not halt on w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a 1200 push down tape machine , second component w, is a string representing the input, and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,0>|M accepts at least two strings} L1={<M,1>| M does not accept at least two strings} Here <M,I> is a pair, whose first component, M is an encoding of a turing machine , second component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,0>|M accepts an infinite set} L1={<M,1>| M does not accept an infinite set} Here <M,I> is a pair, whose first component, M is an encoding of a turing machine , second component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,w,0>|M halts on w} L1={<M,w,1>| M does not halt on w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a three counter machine machine , second component w is a triplet giving the initial position of the pebbles, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<P,w,0>|P halts on w} L1={<P,w,1>| P does not halt on w} Here <P,w,I> is a triplet, whose first component, P is an encoding of a C++ program, second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<Q,w,0>|Q halts on w} L1={<Q,w,1>| Q does not halt on w} Here <Q,w,I> is a triplet, whose first component, Q is an encoding of a java program, second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,w,0>|M halts on w} L1={<M,w,1>| M does not halt on w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a multidimentsional, multiheaded, multitape turing machine , second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,w,0>|M halts on w} L1={<M,w,1>| M does not halt on w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a nondeterministic 789 pushdown tape machine , second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,w,0>|M accepts on w} L1={<M,w,1>| M does not accept w} Here <M,w,I> is a triplet, whose first component, M is an encoding of a turing machine , second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<P,w,0>|P halts on input w} L1={<P,w,1>| P loops on input w} Here <P,w,I> is a triplet, whose first component, P is an encoding of a C program, second component w, is a string and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,M1,0>|M is equivalent to M1} L1={<M,M1,1>| M is not equivalent to M1} Here <M,w,I> is a triplet, whose first component, M is an encoding of a turing machine , second component M1 is the encoding of a turing machine, and third component I is a bit. Let L=L0 U L1. Which of the following is true? L0={<M,M1,0>|M accepts a subset of what is accepted by M1} L1={<M,M1,1>| M does not accept a subset of what is accepted by M1} Here <M,w,I> is a triplet, whose first component, M is an encoding of a turing machine , second component M1 is the encoding of a turing machine, and third component I is a bit. Let L=L0 U L1. Which of the following is true? |

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