QUESTION 29 The following procedure shows the computation of set E's for a DFA What states are equivalent based on the computation? F= ((U. 1). 40. 5). (1.5).(2, 3). (2,4), (3, 4)> E- (1. 5). (2,4)) E,-l1,5). (2.4))-E. OA1-5 only OB1-2-4-5 OC1-5 and 2-4 OD.2-4 only

Q: Let W = { ⟨X,Y⟩ | X and Y are DFAs and L(X) ⊆ L(Y)}. Show that W is decidable.

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Q: - f(n) = log n²; g(n) = log n + 5 - f(n) = n; g(n) = log n? - f(n) = log log n; g(n) = log n f(n) =…

A: analysis for the above example is in step 2.

Q: et A = ({q0, 41, 42}, {0, 1}, 8, 40, {42}) be the NFA with transition table: 1 {qo, 41} 9o {40} 91…

A: Here in this question we have given an NFA when initial state and final state also given.we have…

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Q: A= ({40, 91, 42 }, {0, 1}, d, qo, {42}) be the NFA with transition table: 1 9o {40} | {40, 41} 91|…

A: A=({q0,q1,q2},{0,1},δ,q0,{q2}) The NFA transition table:

Q: 2. Let A = {0, 1, 2, 3} R = {(0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2,0), (2, 2), (2, 3), (3.0)}…

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Q: More asymptotic notation. Let f, g, h : N → R2º. Prove or disprove that if f +gE O(h), then f E O(h)…

A: The solution for the above given question is given below:

Q: Solve this proof with no premises: (~Q->~P)->((~Q->P)->Q)

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Q: Given: e-NFA M2 = ({A,B,C}, {0,1}, delta, A, {C}) where delta: (A,0) -> {C}, (A,1) -> {B}, (A,e)…

A:

Q: 3. Prove that for any sets A, B and C, An (BUC)=(An B)U(ANC)

A: Here in this question we have asked to prove the distributive property applied on some set A B C.

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Q: 10. Let W be a wff. If no free occurrence of the variable x in W(x) is in the scope of a quantifier…

A: Please let us know if there are any doubts!

Q: SCongider the Funcbion: F (Waya) =L(57,12,15) with don's care condition id (w,xy%.3) ={ (4,6,13,14…

A: Minimization of function is in step 2.

Q: 1. a. Convert the following (FG into (NF S - OALI OBA A -- SOI |0 b. Construct PDA lrom the given…

A:

Q: Let M ({qo, q1, q2, q3, q4, qs}, {a, b, c}, qo, fs, {q1,q3, qs}) be the Deterministic Finite %3D…

A: Q = { q0, q1, q2, q3, q4, q5 } ∑= { a, b, c } q0 = q0 T = fs F = { q1, q3, q5 }

Q: Given: e-NFA M2 = ({A,B,C}, {0,1}, delta, A, {C}) where delta: (A,0) -> {C}, (A,1) -> {B},…

A:

Q: Properties of U, 12, 6 Let f, g, h: N →R*. Then, P1: (Transitivity) fe O(g) and g e O(h)=fe 0(h) How…

A: Transitivity of all notation: (n) = Ο(g(n) ) and g(n) = Ο(h(n) ) ≈ f(n) = Ο(h(n) ) f(n) = Ω(g(n) )…

Q: dentify the correct steps involved in showing that f−1(S ∩ T) = f−1(S) ∩ f−1(T).

A: Given that  f-1 (S ∩ T) = f-1 .(S) ∩ f-1 (T)  Compute the LHS = RHS. Take the LHS and prove its…

Q: Transform the following into a DNF a) P → (Q → P)   b) (P ∨ Q) ∧ R

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Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A:

Q: 3.Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G a)Find a minimal…

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A: Below is the answer:

Q: Use K-maps to simplify F(A,B,C,D) = 2(0, 1, 2, 3, 4, 6, 9,11) For credit, show all the work, justify…

A: The required expression is  F(a, b, c, d) = a'd' + a'c + b'd

Q: Given: e-NFA M2 = ({A,B,C}, {0,1}, delta, A, {C}) where delta: (A,0) -> {C}, (A,1) -> {B}, (A,e)…

A: Here the initial state A and final state is C.  The symbol in language is 0,1

Q: (Vx) (A → (B = C)) → ((Vx) (A → B) = (Vx) (A → C)) - a) Show that: b) Show that: (Vx) ((A v B) → C)…

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Q: Let G be a PRG with (n) = 2n. Assume this is true for all values of n. Let H: {0,1}" {0,1}2" be as…

A:

Q: Problem 8 (#2.2.8).Prove the idempotent laws by showing a) A∪A=A. b) A∩A=A.

A:

Q: Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G 3.Use all three of…

A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

Q: 3. Show that the identity sin²(x) = 1-cos(2x) 2 holds for the following values of x. a) x = 7/ b) x…

A: The code is written in Python and uses the NumPy and Matplotlib libraries. Here is a breakdown of…

Q: i. Draw the transition diagram for the machine, M. ii. Describe the set of strings that accepted by…

A: Given data: f(q0,a)=q1, f(q0,b)=q3 , f(q0,c)=q2 , f(q0,d)=q3f(q1,a)=q1, f(q1,b)=q4 , f(q1,c)=q1 ,…

Q: Let A = ({40, 41, 92 }, {0, 1}, 8, qo, {q2}) be the NFA with transition table: 9o {qo} | {go, 41} 41…

A: We are going to construct a DFA A' from the given NFA A using subset construction. Please refer to…

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A: This question comes from Theory of Computation which is a paper of Computer Science. Let's discuss…

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A: The solution to the given question is:

Q: Consider the deterministic finite automaton M = (Q, E, 8, 8, F) where Q = {0, 1, 2, 3, 4, 5}, Σ =…

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Q: 22 1. Sets and Events 10. Check that An → A iff 1A→ 1A pointwise.

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: 5. F(A, B,C,D, E) = E(0,2,3,4, 5, 6, 7, 11, 15, 16, 18, 19, 23, 27, 31) %3D 6. F = ABCE + ĀBCD + BDE…

A: simplify the following using k-map and compare it to Boolean simplification Minterm =…

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A: Given that, Prove gcd(a+b, a-b) = gcd(2a, a-b) = gcd(a+b, 2b) Suppose d divides a+b and a-b.Then d…