Question

Give an expression that is equivalent to the following expression using only the quantifier ∃ and...

Give an expression that is equivalent to the following expression using only the quantifier ∃ and only the connectives ∧ and ¬.

State which equivalence laws you’ve used for each step.

∀x Q(x) ∨ (R(z) → ∀y Q(y) ∨ H(x))

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
[16pt] Which of the following formulas are semantically equivalent to p → (q ∨ r): For...
[16pt] Which of the following formulas are semantically equivalent to p → (q ∨ r): For each formula from the following (denoted by X) that is equivalent to p → (q ∨ r), prove the validity of X « p → (q ∨ r) using natural deduction. For each formula that is not equivalent to p → (q ∨ r), draw its truth table and clearly mark the entries that result in the inequivalence. Assume the binding priority used in...
1.Write the negation of the following statement in English. Do not simply add the words “not”...
1.Write the negation of the following statement in English. Do not simply add the words “not” or “it is not the case that” or similar before the existing statement. “Every dog likes some flavor of Brand XYZ dog food.” 2. Prove that the compound statements are logically equivalent by using the basic logical equivalences (13 rules). At each step, state which basic logical equivalence you are using. (p → q) ∧ (¬r → q) and (p ∨ ¬r) → q
For each of the following, prove that the relation is an equivalence relation. Then give the...
For each of the following, prove that the relation is an equivalence relation. Then give the information about the equivalence classes, as specified. a) The relation ∼ on R defined by x ∼ y iff x = y or xy = 2. Explicitly find the equivalence classes [2], [3], [−4/5 ], and [0] b) The relation ∼ on R+ × R+ defined by (x, y) ∼ (u, v) iff x2v = u2y. Explicitly find the equivalence classes [(5, 2)] and...
For each pair of atomic sentences, give the most general unifier if it exists. You must...
For each pair of atomic sentences, give the most general unifier if it exists. You must show each step clearly – each substitution is a separated step.           a.   P(x, f(w), Bill), P(g(z), u, w)           b.  Q(Red,x,y), Q(x,y,z)
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x...
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x < 6} would be {1,2,3,4,5}.) (a) {a | a ∈Z,a2 ≤ 1}. (b) {b2 | b ∈Z,−2 ≤ b ≤ 2} (c) {c | c2 −4c−5 = 0}. (d) {d | d ∈R,d2 < 0}. 2. Let S be the set {1,2,{1,3},{2}}. Answer true or false: (a) 1 ∈ S. (b) {2}⊆ S. (c) 3 ∈ S. (d) {1,3}∈ S. (e) {1,2}∈ S (f)...
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3)...
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3) If csc x = 2 and x is in Q I, determine the exact values of sin x and cos x. 4) Use a sum to product formula to rewrite sin 2x – sin 5x as the product of two trig functions. Step by Step please 5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as a sum of two trig...
Imagine a horizontal surface in the x-y plane a distance h below the of the sphere,...
Imagine a horizontal surface in the x-y plane a distance h below the of the sphere, which is located at (0,0,0). For any point (x,y,-h) on the surface, located a distance r from the of the sphere, give an expression for the electric field strength in terms of x, y and h. For any point (x,y,-h) on the surface, express the magnitude of the x, y and z components of the electric field in terms of x and y respectively.
(1) Determine whether the propositions p → (q ∨ ¬r) and (p ∧ ¬q) → ¬r...
(1) Determine whether the propositions p → (q ∨ ¬r) and (p ∧ ¬q) → ¬r are logically equivalent using either a truth table or laws of logic. (2) Let A, B and C be sets. If a is the proposition “x ∈ A”, b is the proposition “x ∈ B” and c is the proposition “x ∈ C”, write down a proposition involving a, b and c that is logically equivalentto“x∈A∪(B−C)”. (3) Consider the statement ∀x∃y¬P(x,y). Write down a...
Using the following axioms: a.) (x+y)+x = x +(y+x) for all x, y in R (associative...
Using the following axioms: a.) (x+y)+x = x +(y+x) for all x, y in R (associative law of addition) b.) x + y = y + x for all x, y elements of R (commutative law of addition) c.) There exists an additive identity 0 element of R (x+0 = x for all x elements of R) d.) Each x element of R has an additive inverse (an inverse with respect to addition) Prove the following theorems: 1.) The additive...
Construct a truth table to determine whether the following expression is a tautology, contradiction, or a...
Construct a truth table to determine whether the following expression is a tautology, contradiction, or a contingency. (r ʌ (p ® q)) ↔ (r ʌ ((r ® p) ® q)) Use the Laws of Logic to prove the following statement: r ʌ (p ® q) Û r ʌ ((r ® p) ® q) [Hint: Start from the RHS, and use substitution, De Morgan, distributive & idempotent] Based on (a) and/or (b), can the following statement be true? (p ® q)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT