7. Let M = ({90: 91; 42}, {a, b}, ô, qo; {42}) be the DFA with transition table: a | b qo 90 91 q1 91 92 q2 92 92 The initial state is qo and the set of accepting states is F = {q2}. (a) Construct the state diagram for M. (b) Compute d(qo, aab). (c) Determine whether the word w = aab is accepted by M. (d) Compute L(M).
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- 1. Given the state-transition graph (Kripke Structure) below, which of these properties hold?• (AX f1)(s0)• (EG f2)(s2)• A [b1 U f1] (s3)• AG (b1 ⇒ AF f1)• AG (f1 ∨ f2)Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…For the transition probability matrix P = 1 2 3 4 5 1 0.2 0.1 0.15 0 0.55 2 0 1 0 0 0 3 0.35 0.2 0.2 0.1 0.15 4 0 0 0 1 0 5 0.25 0.2 0.15 0.25 0.15 (a) Rewrite P in the canonical form, clearly identifying R and Q. (b) For each state, i, calculate the mean number of times that the process is in a transient state j, given it started in i. (c) For each state i, find the mean number of transitions before the process hits an absorbing state, given that the process starts in a transient state i. (d) For each state i, find the probability of ending in each of the absorbing states.
- Carry out the bisimulation colouring algorithm step-by-step on the labelled transition system defined by thefollowing process definition, and use this to provide an equivalent system with a minimal number of states.X def= a.Y + a.(a.Z + b.W) Z def= a.Z + b.WY def= a.Y + a.Z + b.W W def= a.W how to draw that part: X def= a.Y + a.(a.Z + b.W)Computer Science Which of these statements are true? In a deterministic autonoma, the transition function δ assigns each input symbol to a single state. In a deterministic finite autonoma, the transition relation δ assigns to each pair of a state and input symbol exactly one subsequent state.Matching logic expressions with their truth tables. Question 1 options: a b x 0 0 0 0 1 1 1 0 1 1 1 0 a b x 0 0 1 0 1 1 1 0 1 1 1 0 1. x = a XOR b 2. x = a NAND b 3. x = a NOR b Order the precedence from high to low for following Boolean operators. Question 10 options: OR AND complement Please map commutative, associative, and distributive laws of Boolean algebra theorems with corresponding equations. Question 7 options: (x + y) + z = x + (y + z) (xy)z = x(yz) x+y = y + x xy = yx x + (y · z) = (x + y) · (x + z)x · (y + z) = (x · y) + (x · z) 1. Commutative Law 2. Associative Law 3. Distributive Law
- Create an SVM to calculate the XOR function. Use the values +1 / -1 for inputs and outputs. Map the input [x1,x2] to the space with coordinates [x1,x2x1]. Draw the four possible points of the training set and their maximum linear separator in this space. What is its edge?provide equations for A∗ and B∗(give the unsimplified SoPversion for your answer, simplify for yourself as needed), construct a state table, and complete thetiming trace until no state information remains.Please explain all steps: What Boolean equation is represented by the following K-Maps: a) ~y~z ~yz yz y~z ~x 1 1 1 x 1 1 1 1 b) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 wx 1 w~x 1 1 c) ~y~z ~yz yz y~z ~w~x 1 1 1 1 ~wx 1 1 wx 1 1 1 1 w~x 1 1 d) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 1 wx 1 1 w~x 1 1 1
- Computer Science You are told that state machine A has one input x, and one output y, both with type {1, 2}, and that it has states {a, b, c, d}. You are told nothing further. Do you have enough information to construct a state machine B that simulates A? If so, give such a state machine, and the simulation relation.Construct an ε-NFA using 10 states, three of which are final states and at least two are ε -transitions. Now, use the subset construction algorithm to convert this ε-NFA to its equivalent DFA.Given the formal definition of the finite state machine (FSM):M1= { {A, B}, {0,1}, { ((A,0),A), ((A,1),B), ((B,0),B), ((B,0),A) } , A, {B} }· Convert M1 from a non-deterministic FSM into a deterministic FSM.· Draw them both (non-deterministic and deterministic FSMs in STD) and write the State Transition Table and the formal definition of the deterministic FSM.