we have the following WFF of the quantificational calculus: ƎxƎy∀z (p(z) ∧ q(x,y) <-> (r(w) ∧ ∀w S(w,y))) How many occurrences does x,y,z and w have? and why  How many bound and free occurrences does x,y,z and w have? and why I posted this question before but the answer is wrong. Thanks

Q: 1. Fill in the following statements with T's and F's. (1) L^__is and for all other cases. (1) V_ is…

A:

Q: Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which law…

A:

Q: Q3. Prove by using logical equivalence method: (pr) V (q+r) = (p Aq) → r

A: Two propositions are referred to as logically equivalent if their truth value is always same. When…

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: Statement 1 - If you study hard, you get good marks Statement 2:- If you get good marks, you get…

A: Introduction: A compound assertion that is true for each value of the component statements is…

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: t U=(-5,9) be universal and set A=(-3,4)  B=(-1,6) , D=(0,8) Find the following: (i)(AnB)' (ii)BuD'

A: We can solve this question with the help of number line: Given set  U=(-5,9) A=(-3,4) B=(-1,6) And…

Q: The expression of the statement All dogs (D) have fleas (F) using quantifi ers is A ( D ( x)→F (x))…

A:

Q: 1.(a). logic equiva (pag)v(: pag)v(pn: q)= pvq (b) Use Theorem 2.1.1 provided to you on exam paper…

A:

Q: Which of the following sets spans R? R32 O (3,0,-2)} O(3,0-2).(0,0,0)} O(3,0,-2).(5,1,0),(0,-1,1)} O…

A: hello greetings from bartelby.i am here to help you.

Q: Construct a truth table for the following Boolean function showing all columns: (x + y')(x' + z')(y'…

A: 1'=0 0'=1 1+1=1+0=0+1=1•1=1 0+0=1•0=0•1=0•0=0

Q: ② 2 X+S 1+ 2 + 기 1 -11-1> 1

A: NOTE: Refresh your page if you can't see any equations. . use the fraction rule (cross…

Q: Is the following a syntactically correct X-calculus expression? ((lambda x.(lambda y.(x + y))) 5) 6)…

A: We have to check either the lamdax.lamday.x+y56 correct λ-calculus expression.

Q: (a) Given that A= 1-2 1 3 5 0 2 and B = -3 4 06 1 2 -1 3 " determine

A:

Q: 19) Define an appropriate language and formalize "There is a student who is loved by every other…

A: Given Statement "There is a student who is loved by every other student" Third FOL formula is…

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: Please help me with this question. I am having trouble understanding what to do.  Just Complete…

A: The objective of this question is to prove that the given logical equivalence is a tautology. A…

Q: 1. (a) (b) (c) Prove or disprove that, for any universal set U and predicates P and Q, [x EU, P(x)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Write the truth-functional form (TFF) for each sentence. Use P, Q, R, etc. as replacement letters.…

A: Since you have posted a multi sub part question according to guidelines I will solve first three…

Q: #1 Verify the logical equivalence with laws:

A: Given expression is,

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

A:

Q: Identify what law(s) are being used in each step:

A: This is a problem of the Propositional Logic.

Q: Minimal Derivations. Provide natural deduction proofs of the following. These deductions require…

A: Hi! As per norms, we will be answering only the first mentioned questions. If you need an answer to…

Q: Initial Post Prompt Let S = {(3,-1,2), (4, 2, 1), (-3, 1, 0), (2, 2, 2)} and T= {7-4x, 5x} Include…

A: Use the definitions.

Q: Let X= a, b, c, d, and classify each of the following as -algebra or not justifying all your…

A: Here X = {a, b, c, d}    Any collection à of subsets of X is a σ-algebra if it satisfies following…

Q: i. ii. iii. Determine whether the formulae below are tautologies (A → ((¬B) V C)) → ((¬A) → B) (A →…

A: The truth table is defined as a tabular representation of the expression of all the combinations of…

Q: Select the following statements that are true. (bv d-) ^ (bv d) = (b ^d) v (bnd) pq is the converse…

A:

Q: A = {1, 2, 3, 4} B = {2, 4, 6, 8} 26. Conjoining strings {(x,x) & A} 27. String concatenation {(x,…

A:

Q: Working on Set operations and Ven diagram Help needed to understand this problem: If n(A)=28,…

A: To determine the number of elements in the set A' union B using the given information.

Q: True or False. Show me how you find the answer even if you get it by tossing a coin. Suppose…

A: a )  true b ) True c) True d) False e) False

Q: Let F(x, y) be the statement x can fool y, where the domain consists of all people in the world. Use…

A:

Q: Select the following statements that are true. (pVg) ^ (PV-q) = (p^-q) v (p^q) Op(qV p) is a…

A: The truth table is used to perform a logical operation. The operation is said as boolean algebra.…

Q: Please poove 18 ŏ bound of (३5) fश्ठ also proove ppes an sup13,5)%35

A: (.) Upper bound:    "A number that is greater than or equal to any number in a non-empty subset of ℝ…

Q: 1) (AUB) x C = (A x C)U (B x C) 2) ASBAXCSBXC 3) (Ax B) n (C x D) (AnC) x (Bn D)

A:

Q: Question 3. Show that [p ^ (p^q)] V (p→q) is a tautology using logical equivalences. for a list of…

A:

Q: Question 5: Use the laws of logic to simplify -[q→-^q].

A: Explanation of the answer is as follows

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters: