Give context-free grammars to generate the following languages: (a) L = {vuvkw : u, v, w E {0, 1}*, |u| = |w| = 2} (b) L2 = {a"b"&d' :n+ m= k + l} (c) L3 = {w :n.(w) > ns(w) + 1}

Q: 2. In the following wff, identify (i) the main operator, (ii) all of the free variable occurrences,…

A: Main operator: If the sentence has only one logic, then it is the main operator of the sentence.…

Q: a) b) Negate and simplify the following statement in symbolic form. "Vx,y[((x>0)^(y<0)) → (xy <0)]…

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Q: 9) x² + y² + 12x + 22y + 108 = 0 CX+67² + y +117²=49 CX-47² \ Cy-151²=9 CX-107² + (y +1272²=9 CX-5)…

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Q: 12) L. 92° 66°

A: Arc angle is twice of intercepted angle.

Q: Let P(x) be the statement "x^2−x−20⩽0". a. If the domain consists of −4,0,1 and 2, then "∀x,P(x)"…

A: Given: Here is the given statements, 1. Px=x2−x−20≤0 To find: Is it true or false that "∀x,P(x)" is…

Q: 1. let the universe be all the positive integers (N). Determine whether the following are true or…

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Q: What is the domain of the following {(3, 4), (9, 1), (10, 5), (2, 15), (8, 4)} O {3, 4, 9, 1, 10, 5,…

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Q: Prove that language L on {a, b}, L={v]v = v®} is not regular.

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Q: is the following relation a functic {(1, 5), (-1, 7), (1, 8), (-4,9)} yes no

A: 1, 5, -1, 7, 1, 8, -4, 9.

Q: Let A be the first-order logic formula \x³y²(x, ƒ(v), a), where P is a relation symbol, ƒ is a…

A: Given first order logic formula∀ x∃yP(x,f(y),a)Where,P = Relation symbolf = function symbola =…

Q: Show the output of a Universal and Existential quantification of the given fu 1.3XQ(x): x sx+2 Q(x)…

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Q: 21. Simplify the following Boolean expressions to a minimum number of literals using Karnaugh maps.…

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Q: The following is written in my mathematical proofs book "Z4 consists of the four classes (sets of…

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Q: Quantifications are negated as P(x)=xP(x) P(x)=x¬P(x) (a) Let P(x) be" x+1>x ." What are the…

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Q: 5. Prove that the following equivalences are tautology. Show your work in detail. For each step, you…

A: The equivalence relation is : The main aim is to prove that the equivalences are tautology.Tautology…

Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: Compute the orders of: U(5), U(7), U(35)

A: Note that, U(n) represents a group consisting of non-negative integers which are less than n and are…

Q: Let V = R³ -^-(~--~-~-) = 10 A = (b) B= V1 = c={n= (c) C= 8 2 3 The set mentioned in (a) The set…

A: The given vectors are,(a) (b) (c) The objective is to determine whether the set is a basis or not a…

Q: Give a recursive definition with initial conditions of the set S SEE IMAGE

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Q: I-B. Show that the following are tautologies. a) (р ^а) — р b) р — (рVq) c) ((p → q) ^ (q → r)) → (p…

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Q: Consider the Datalog programs P1 (left) and P2 (right) below, which use relations R(A, B) and S(A,…

A: Option (B) is correct because T3 and T4 include same set of tuples

Q: The following is written in my mathematical proofs book "Z4 consists of the four classes (sets of…

A: The objective of the question is to understand why the equivalence classes in Z4 are defined as {3q…

Q: Use arrow notation to write a rule that describes the translation of M’N’O’P’ to MNOP

A: Here we have to find the translation in the given rectangle of M’N’O’P’ to MNOP

Q: SHOW that the topologies of the & TRK are Not Comparable.

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Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

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Q: What is the output of the combinatorial circuit shown below? P 9 r pe (q^¬r) Opv (-q^r) O¬(p→ (q+r))…

A: Given is a combinatorial circuit.   To Find: The output of the given circuit.

Q: What is the domain of the following: {(3,4), (9,1), (10, 5), (2, 15), (8, 4)}

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Q: 7. Let H = {3,2} and two operations * and *' on H defined as follow: 3 ** 3 2 3 3 3 2 2 2 Is (H, *,…

A: This question is about application of Boolean algebra

Q: State the scope of each quantifier in the following expression: "Vy, [Q(x, y) ^ 3r (R(x, y) ^ ~P(x,…

A: The quantifiers used in the expression are ∀,Q, R, ∃, ~P. The scope of the quantifiers are given…

Q: What is the domain of the following: {(3,4), (9, 1), (10, 5), (2, 15), (8, 4)} O {3, 4,9, 1, 10, 5,…

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Q: (9)A restricted variable in the LP- Model, is the variable whose value may be …… (a) +ve (b) – ve…

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…

Q: What is the domain of the following {(3,4), (9,1), (10,5), (2,15), (8, 4)} O {3, 4, 9, 1, 10, 5, 2,…

A: We know that for a pointx,y is domain is x and range is y Similarly, for given…

Q: he output ((PV¬r) ^¬q) v (p ^ (q V r)) from input bits p, q and r.

A: