Recall the Halting problem:
HALT = {<M, w> : M halts on input w}.
Prove the Halting problem is NP-Hard.
Recall the Halting problem: HALT = {<M, w> : M halts on input w}. Prove the...
Let F IN = {M | L(M) is finite}, and recall HP = {M#w | M halts on w}. (a) Prove HP¯ ≤m F IN, where HP¯ is the complement of the halting problem. That is, show there exists a computable function f such that M#w ∈ HP¯ iff f(M#w) ∈ F IN. (b) Prove HP ≤m F IN. That is, show there exists a computable function f such that M#w ∈ HP iff f(M#w) ∈ F IN. (c) Is...
Computer Theory 3. (a) Prove that the language LH IR(M) w machine M halts with input w is "recursively enumerable" (b) Prove that LH is not "recursive"
can someone help me with this problem? thanks Prove that there is no algorithm that determines whether an arbitrary Turing machine halts when run with the input string 101. Prove that there is no algorithm that determines whether an arbitrary Turing machine halts when run with the input string 101.
The halting problem is undecidable. This implies that there is no algorithm to decide for every program P and input w whether or not P terminates when w is provided as input. O True O False
please solve the problems(True/False questions) 25. There is a problem solvable by Turing machines with two tapes but unsolvable by Turing machines with a single tape 26. The language L = {(M, w) | M halts on input w} is recursively enumerable 27. The language L = {(M,w) | M halts on input w is recursive ne language L = {a"o"c" | n 2 1} in linear time 24. Nondeterministic Turing machines have the same expres siveness as the standard...
F F F 12. L={ <M> : L(M) = {b). Le SD/D. 13. L={<M> : L(M) CFLs). LED 14. L = {<M> : L(M) e CFLs). Rice's theorem could be used to prove that L 15. T T D. F L = {<M> : L(M) e CFLs). Le SD. That is, L is not semidecidable. T F 16. L <Mi,M2>:IL(M)L(IM21) 3. That is, there are more strings in L(M2) than in L(M). Rice's theorem could be used to prove that...
the definitions are below x is any input to the program 1. Show that Lacc is NP-Hard. * * * * Recall: NP = the class of efficiently verifiable languages. * The set of all languages that can be verified in polynomial time. * Examples: * MAZE = {(G,s,t): G is a graph. There is a path s->t in G}. * HAMCYCLE = {G:G is an undirected graph with a Hamiltonian Cycle} * COMPOSITES = {n EN:n= pq for some...
The input VA (W) is a signal expressed with frequency dependency. Recall that the impedance of an inductor is Z= jwL. Note both resistors have the same value in the plot below. Please determine the transfer function of this circuit (i.e., Vo (W)/VA (W) ), and find out the 3dB frequency wo. reier VA in
problem 3 SEL 3. Prove that the mapping w 4. Prove that w z3 3z 1 is one-to-one for |z <1 Z n S {z| |z < 1} is continuous at z 1 +z6 5. Find the lim
Let (V,〈 , 〉v) and (W.〈 , 〉w) be finite-dimensional inner product spaces. Recall that the adjoint L* : W → V of a linear function L Hom(V,W) is completely determined by the equation <L(v), w/w,-(v, L* (w)של for every v є V and w є W . Use this to prove the following facts: (a) (Li + L2)* = Lİ + L: for Li, L26 Horn(V,W) (b) (α L)* =aL' for a R and L€ Horn(V,W) (c) (L*)* =...