The ff. descibes a (1) A finite set Q of states; (2) An initial state qo e Q; (3) A finite set E of input symbols; (4) A subset FC Q of accepting states; (5) A finite set rɔ I of tape symbols, including a special blank symbol Be [-I; and (6) A partial transition function 8 that maps (Q - F) × [ to Q × [ x {L,R}. O Turing Machine O FSM Push-down Automata Non-deterministic finite automaton

Q: Define a function  S: Z+ → Z+  as follows. For each positive integer n, S(n) =  the sum of the…

A: Given function: S: Z+ →Z+ For each positive integer n, S(n) = The sum of the positive divisor of n.

Q: Computer Science Show that the language {M: M is a Turing machine with L(M) to be a finite set} is…

A: The language is given as- FTM = { M | M is a TM and L(M) is finite} Following are the properties of…

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A: Answer

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A: Given f(x) = 3x+1 g(x) = x2 h(x) = 2x

Q: Find a regular expression for L = {vwv : v, w ∈ {a, b}*, |v| ≤ 4} The answer is not (a + b)*.…

A: To create a regular expression for the language L, we should first, start by breaking down the…

Q: You are given a set S={S1,S2,..., SK}, an integer X and a sequence A1,A2,.., AM. Let's define an…

A:

Q: B generates the regular language, L= {ab" | a 2 1 and m 2 2}. Implement the above FSM as a C++…

A: It is defined as a machine is used to recognize patterns. Finite automata machine takes the string…

Q: Now, to work with some FSAs over the alphabet Σ = {a, b}. Give a regular expression and draw an FSA…

A: Note: since your question contain multiple question but we can answer only one question at a time…

Q: Consider the finite automaton M₁ and answer the following questions. 91 a a, b b 92 93 a (a) What is…

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Q: Give a description representation of a Turing Machine Mg for language B = {w over {0, 1, #)* | w…

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Q: Find the diagram of the five related functions of x: y1 = 2 sin(x), y2 = tan(x), y3 =0.5 * cos(x),…

A: Answer is given below .

Q: Prove that C = { |M(w) goes into state q4 during its computation} is undecidable.

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Q: Problem 4 Write down the CFG that generates each of the following languages: (2) {w|w=a'b'ck, k= i+…

A: The CFG that generates each of the given language

Q: (DL1) α V (βΛ γ)-(α V β) Λ(α V γ)

A: Below is the proof for DL1:

Q: Let M = (Q.E, r, 9o, 8, y) be a finite state machine such that the transition table of M is a b a B…

A:

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 ,…

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Q: Generate a special truth-table based on four variables (A,B,C,D) using "your own student id number"…

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Q: Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B

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Q: 9. The Turing Machine M below accepts L = { a"b": n >= 1}. y;y,R а; а, R y:y, L а; а, L q1 b;y. L…

A: Solution ======================================================================== after tracing the…

Q: Design a deterministic finite-state automaton (DFA) that accepts exactly the strings over the…

A: atleast two R atmost one T and E comes after S

Q: Let LPrime = {| the number of strings accepted by M is prime). Classify this language as either (i)…

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Q: What does the Pumping lemma for regular languages say?

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Q: Real-Time Systems concern approaches from hardware-related software development, in particular…

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Q: (a) Let L = {w ∈ {0, 1}* : w does not end in 01} (a) Show a regular expression that generates L. (b)…

A: (a) Answer: ∈∪1∪(0∪1)*(0∪11)

Q: Consider a function f : S→T defined by f(n) = n², where the domain is the set of consecutive…

A: One-to-one means that for every element in the range T there is exactly one element in the domain S…

Q: Question 1 Let LCE* be a regular language over some alphabet E. The Kleene-closure L* of L is given…

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Q: Recall a set A is countable if |N| ≥ |A|. Recall that Cantor’s theorem shows that P(N) = {X ⊆ N} is…

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Q: 4. Let M (Q,E,9,,8,F) be the NDFA such that Q={qo•91»9z}, E = {a,b}, F = {q,}, the initial state is…

A: 4.a.the transition diagram of M b.the strings accepted by M

Q: • The Domain of f(x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-∞,1) 4. [1, 0) %3D 1 O 2 3 4 O

A: Domain

Q: Let M3 be the Turing machine defined by Σ = {0, 1} Q={90, 91, 92, 93, 94, 95} T= {0, 1, X, Y} 6: 8…

A: Turing Machine: It is a conceptual model used to solve the computational model. It is also used to…