2. This question is about regular languages. Consider the following finite automaton: 2 3 4 (d) Translate the above automaton into a deterministic finite automaton. Explain your steps, or your design...
2. Properties of the following: (a) Regular languages (b) Context-free languages (c) Regular expressions (d) Non-deterministic finite automaton (e) Turing-recognizable and Turing-decidable languages (f) A <m B and what we can then determine (g) A <p B and what we can then determine (h) NP-hard and NP-complete.
Consider the finite automaton M = (Q,{a, b},8,90,F) defined by the following illustration. -0.00 7 92 Part (a) (8 MARKS] For all i e {0,1,2,3}, write a regular expression Ri such that L(R;) = {we {a,b}* | ** (90, w) = qi}. Briefly justify your answers for R2 and R3.
please explain thanks Search 20:14 2. Let a, b, c, d). Express the next language on E as a regular expression. (10 points x 3 ) (1)A language consisting of words in which the number of b is 2 or 3 (2) A language consisting of words whose last character is a or b (3) A language consisting of words in which the letter following the letter a is always b 3. M (0, 1, 2), a, b}, 6, 0,...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
Determining whether languages are finite, regular, context free, or recursive 1. (Each part is worth 2 points) Fill in the blanks with one of the following (some choices might not be used): a) finite b) regular but not finite d) context-free but not deterministic context-free e) recursive (that is, decidable) but not context-free f) recursively enumerable (that is, partially decidable) but not recursive g) not recursively enumerable Recall that if M is a Turing machine then "M" (also written as...
For each of the following claims, state whether it is True or False. Briefly explain your answer. (1) If Li and L2 are regular languages, then L1 L2 = {w:we (L1-L2) or w € (L2-L1)} is regular. (2) If Li and L2 are regular languages and L1 CL CL2, then L must be regular. (3) If Lis regular, then so is {xy : X E L andy & L}. (4) The union of a finite number of regular languages must...
discrete mathematics Leavening question 4 solve others 4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
Consider the following Markov chain with the following transition diagram on states (1,2,3 2 1/3 1 1/4 2 3 s this Markov chain irreducible? 1 marks (a) (b) Find the probability of the Markov chain to move to state 3 after two time steps, providing it starts in state 2 [3 marks 14 Find the stationary distribution of this Markov chain [4 marks (c) (d) Is the stationary distribution also a limiting distribution for this Markov chain? Explain your answer...
discrete mathematics Leavening question 4 solve others 4. Let be the automaton with the following input set A, state set S and accepting or final ("yes") state set F : A-t, b },s-b"11":2},7-bl } . Suppose s, is the initial state of M , and next state function F of M is given by the table B. Draw the state diagram D D() of the automaton 4 5. Construct the state diagram for the finite-state machine with the state table...
Explain the answer QUESTION 8 The classes of languages P and NP are closed under certain operations, and not closed under others, just like classes such as the regular languages or context-free languages have closure properties. Decide whether P and NP are closed under each of the following operations. 1. Union. 2. Intersection. 3. Intersection with a regular language. 4. Concatenation 5. Kleene closure (star). 6. Homomorphism. 7. Inverse homomorphism. Then, select from the list below the true statement. OP...