find the CFG of the following:

Q: Prove that n³ – 50 is N(n²), either with limit laws or definitions.

A: If we want to say that a particular algorithm takes a minimum of certain amount of time and when we…

Q: Find the generating function for the following sequend ɔ, 1, 0,0, 1, 0, 0, 1, 0, 0, 1. You need to…

A:

Q: (a)~ (PAP) (b) QV (P⇒Q) (c) ((PVQ) AR) ⇒ (PV¬R)

A: Given compound statements are  (a) ~(P /\~P) (b) QV (PQ) (c) ((PVQ) /\R) = (PV¬R)

Q: Describe the following sets by regular expressions,       (a) {abba}     (b) {a, ab} .

A: The Answer is in Below Steps

Q: a) If A E B and B E C, then A E C. b) If (ANC)= (Bn C), then A= B.

A:

Q: Dean thinks that AB + A'B' simplifies to 1 by the Inverse law. a. Using the DeMorgan and Involution…

A: In Boolean algebra, the Inverse law states that the sum of a variable and its complement always…

Q: 2. (a) Write down the formal definition (not the limit definition) for f(n) = (g(n)).

A: Here is the explanation regrading the equation f(n) = Θ(g(n)):

Q: Construct a PDA to accept a string of balanced parentheses the paranthese to be considered are (,),…

A: The answer is given in the below step

Q: Convert this CFG to CNF s-aSbb | A

A: Given Context free grammar is, S->aSbb | λ The variable present in the grammar is S and the…

Q: (a) Explain the operators supported by pig with respect to data access, transformations and debug-…

A: Given data:-

Q: what EMAt expression is and demnonstrate that it is logically equivalent to the one above. In…

A: Answer

Q: Algebraically find the conjunctive normal form of the following expression. P ⇒ ((Q∧R) ⇔ S) Justify…

A: Question 6. Algebraically find the conjunctive normal form of the following expression. P ⇒ ((Q∧R) ⇔…

Q: ® Discuss The Continuity of y=} ソ={ Sin x>12

A: Solution =: This function is not continuous for the given point x=1 because its values vary for a…

Q: Multiply (11 00} with (0 0 1 1}. Here is the irreducible polynomial to use for this operation {1 100…

A: Here we have to multiply {1 1 0 0} => 1+x with {0 0 1 1} => x2+x3 Irreducible polynomial given…

Q: L = {w = {a,b}* / w has both abb and aab as substrings

A: Given:   We have to Construct NFA (state diagram) of the following.

Q: Explain the meaning of the following expression: (D, E) → F Given this expression, tell if it is…

A: Given: Explain the meaning of the following expression: (D, E) → F Given this expression, tell if it…

Q: For problems 4-7, use "left-to-right concatenation from A to Z" as we did in class to convert the…

A: 6) b?a^ * b(a|b) 7) bb(a^ * b|b+c)

Q: Simplify  the following ewpressing

A: Simplify the given expression ,

Q: consider the following expression A'B'C'+A'B'C+A'BC+A'BC' a. simplify it using the karnaugh maps b.…

A: Given expression: - A¯ B¯ C ¯ +A¯ B¯ C +A¯ BC+A¯ BC¯

Q: Construct a DFA to prove the following is regular

A: Introduction DFA: The Deterministic Automaton (DFA) is just a mathematics paradigm for pattern…

Q: 1.• Simplify to POS and expand to canonical POS (product of maxterms). f(x,y,z) = xy+x’z

A: *In case of multiple question we are supposed to answer only the 1st question. Please re-upload the…

Q: 2. Write down De Morgan's laws for quantifiers.

A:

Q: Simplify the following Boolean expression F (A, B, C, D) = AC'D + C'D + AB' + ABCD. Express the…

A: In Step 2, I have  provided  answer  with  brief  explanation------------------

Q: ect logical equivalence.

A: The correct logical equivalence is:

Q: Give at least ten (10) examples of a situation where you can relate as a function. Please do not…

A: Given: Give at least ten (10) examples of a situation where you can relate as a function. Please do…

Q: Find the corresponding expression, truth table and diagram of the given the Maxterm notation of…

A: We know that,  Using maxTerm we will find boolean expression as Inform of Product of sums. So that's…

Q: Construct the Truth table of the given compound statement: ((R v ~S) ^ (S A ~R))

A: A truth table is constructed to prove mathematical logic using tables. Boolean algebra rules &…

Q: Question 3: Simplify the following function and draw its diagram F (W. X.Y, D= Σ (1, 3, 7. 11, 15) ,…

A: Solution is:

Q: Share your opinions on the given issues. Remember to begin your statement with suggested…

A: Solution :: In above secnerio I am explaining by pro and cons of it .. Answer :   Face shields are a…

Q: 2.20 Let A/B = {w| wx E A for some x E B}. Show that if A is context free and B is regular, then A/B…

A: The problem deals with concepts from formal language theory, specifically context-free languages and…

Q: Conver the following to DNF and CNF form: (A ∨ B) → (C ∧ D)

A: Answer: DNF: ⇒(A∨B)→(C∧D)⇒τA∨B∨(C∧D)⇒A-∧B-∨(C∧D)

Q: Find a countermodel for each of the following wffs: 3x p(x) → Vx p(x) Væ (p(x, f(x)) → p(x, y))

A: Counters are an uncommon instance of limited state machines since they move straightly through their…

Q: 6. Show the complete PLA implementation of the following Boolean functions. P (A, B, C, D) = {(1, 2,…

A:

Q: Question: 1. Use Karnaugh mapping to simplify the following expression. X=ABCD+ABCD+ABCD+ABC D+ABCD

A:

Q: Construct a truth table for the given statement. Identify whether the statement is a tautology.…

A: (~q -> ~p) -> (q ∧ p)p      q      |     (~q -> ~p) -> (q ∧…

Q: 2. Let T = {0, 1, (, ), U, *, Ø, e}. We may think of T as the set of symbols used by regular…

A:

Q: Provide an interpretation that is true and one that is false: (∀ y)(P(y) → P(b))

A: Let's first have a look at the logical meaning of the given statement. We have the statement given…

Q: What is a Deadlock? How it is detected? What are the necessary conditions for a deadlock to occur?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Given the pair of statements: A →~Z and Z=[Av (A•~Z)] 20. Construct a complete (ordinary) truth…

A: Given the pair of statements: A →~Z and Z=[Av (A•~Z)]

Q: Show the bindings that result from unifying the following atomic formulas or write Fail if they…

A: Variable Bindings : Variables binding is a concept in logical programming where the variables are…

Q: The statements - (P vQ) and (~ P)^(~ Q) are equivalent. True False

A:

Q: Čonstruct a truth table to determine whether the following expression is logically equivalent or…

A: In Step 2, I have provided two truth tables with proper explanation---------------