C(s): "s is a computer science student" E(s): "s is an engineering student" Using quantifiers, variables, and the predicates C(s), and E(s) express the following statement: "Every computer science student is an engineering student" (select the correct answer) SED such that E(s) → C(s) SED such that C(s) →→→ E(s) VSED, E(s) → C(s) SED, C(s) →~ E(s) SED such that ~C(s) →→ E(s) VSED, C(s) → E(s)

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: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: Let the domain of x and y be all people, Let W(x): "X is a woman". M(y): "y is a man", and L(x.y):…

A: Given W(x): ' x is a woman' M(y):' y is a man'

Q: (1) (bc' + a'd) (ab' + cd') (ii) b'd + a'bc' + acd + a'bc

A:

Q: What is a step-by-step way to Prove the following equivalency relation in the description? ¬P…

A: Here we write truth table for given equivalence relation and observe corresponding truth values.

Q: 8.0 Prove the Invalidity of the following argument: 2022/12/9 (x) [Qx(Rx Sx)] (3x) (Tx-Rx) (3x)…

A: As per the question we have to prove the invalidity of the following argument : (x) [Qx ⊃ (Rx • Sx)…

Q: Let 1 0 -2 1 0 0 -1 -3 1 3 %3D -1 1 -1 1 3 0 -2 3 -4 Then nullity (A) O None 3 2 4 1.

A:

Q: Claim: A minority of adults would erase all of their personal information online if they could. A…

A: Introduction: Denote p as the true population proportion of adults who would prefer to erase all…

Q: The expression of the statemer All dogs (D) have fleas (F) using quantifi ers is

A: D(x) be x is a dog F(x) be x has fleas

Q: ∀x.(p(x) → q(x)) → (∀x.p(x) → ∀x.q(x))

A: Introduction A logical calculus which serves for the formalization and study of meaningful proofs…

Q: Let L(x): "x is not a student at Lebanese International University.", M(x): "x is amazing.", and…

A:

Q: 5. What expression is dual to given Boolean Expressions?

A:

Q: Translate ap(F(p) ^ B(p)) → ajLj) into English where F(p) is "Printer p is out of service," B(p) is…

A:

Q: - 25 -dr (x – 4)(x + 1) Evaluate

A:

Q: Let P(x) = "x studies Calculus", Q(x) = "x is a Computer Science major", R(x) = "x knows…

A: Introduction: The variable of predicates is quantified using a quantifier. The set of variables is…

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

A:

Q: (1) Is the etatement 3p € Z such that Vq € Z, pq = q true or false? [Select] V (2) Is the statement…

A:

Q: Q.No.5. Let P(x) be the statement "x can speak English", Q(x) be the statement "x knows the computer…

A: The logical connectives are:

Q: suppose S(x,y) is a predicate indicating student x has taken class y. Express this in English: for…

A: Given predicate is as follows. S(x, y): Student x has taken class y. The given quantification is as…

Q: Solve 1 Step Equations: Goal: To get the variable alone 1. Use the opposite operation to move terms…

A: 1) x-4=12 "Adding 4" on both sides of the above equation. x-4+4=12+4 x=16   2) 12=6x "Dividing 6" on…

Q: (a) A function f is strictly decreasing if for every x and y, if x f(y).   (b) A function f : A → B…

A:

Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: Evaluate det 4.x0+ 3y0 4x1 +3y1 4x, + 3y2 Using det 16 Cevap: 20 212 2.

A:

Q: QUESTION 6 Let F(x,y): "x is friend with y", N(x). "x is funny", W(x): "x is wise", R(x): "x is…

A:

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…

A:

Q: 10. Let C(r) be the statement " has a cat," let D(z) be the statement " has a dog," and let F(x) be…

A: Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only.…

Q: Jse a table to express the values of each of these Boolean functions. F(x, y, z) = xy + (xyz)

A:

Q: Q3.1 Write the following statements in English sentences. (1) The negation of If p is a prime…

A: We are authorised to solve only one question, please repost remaining questions. Mathematical…

Q: A. Use laws of Boolean algebra to simplify the following Boolean expression [(XY') +Y']'

A: Using De Morgan formula and other laws of Boolean algebra: XY'+Y''=XY''Y''…

Q: negation rules of (a) Give an example of a pair of predicates P(x) and Q(x) in some domain to show…

A:

Q: Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: The symbolic is given as follows: ∃x∀y¬Nx∧Wx∧Ry→¬Fx,y We are given that: Fx,y: "x is friends with…

Q: D(x): x can drive F(X): x is in my family The universe of discourse consists of everybody in my…

A:

Q: ​Claim: A minority of adults would erase all of their personal information online if they could. A…

A: Here we want to express claim in symbolic form.

Q: Let P(x; y) : x plays in y A(x) : x is athletic. S(x) : x is smart.  E(y) : y is in English…

A:

Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: select the description that characterizes the Boolean expression

A: A boolean expression is CNF (Conjunctive normal form) if it is a product of sums. And, a boolean…