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
Use De Morgan’s Laws to distribute negations inward (that is, all negations in the resulting equivalent...
Use De Morgan’s Laws to distribute negations inward (that is, all negations in the resulting equivalent expression should appear before a predicate): ¬∃x(¬∀y(Q(x,y) v ¬R(x,y)) → ∀yP(x,y)). Label each step with the name of the rule used (such as DN: Double Negation, see formula sheet) and which statement numbers the rule uses. The first step is: 1. ¬∃x(¬∀y(Q(x,y) v ¬R(x,y)) → ∀yP(x,y))
1.Simplify the following functions using ONLY Boolean Algebra Laws and Theorems. For each resulting simplified function,...
1.Simplify the following functions using ONLY Boolean Algebra Laws and Theorems. For each resulting simplified function, sketch the logic circuit using logic gates. (30points) a.SimplifyF= (A+C+D)(B+C+D)(A+B+C) Hint:UseTheorem8 ,theorem 7 and distributive ̅̅b. Show that (Z + X)(Z +Y)(Y + X) = ? ? + ? ? ̅̅c. Show that (X +Y)Z + XYZ = ?.? (15 points for simplification and 15 points for Logisim diagrams) 2. Prove the below equation using Boolean Algebra Theorems and laws Write the name of...
[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
Using the laws of propositional equivalence,  show that  p → p ∧ ( p → q) is logically...
Using the laws of propositional equivalence,  show that  p → p ∧ ( p → q) is logically equivalent to p → q. That means a chain of equivalences starting with the first expression and ending with p → q. Remember: The connective ∧ has higher precedence than the connective → so be sure to parse the original expression correctly! To start you off here's a possible first step. p → p ^ ( p → q) ≡   p → p ^...
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. Construct a truth table for: (¬p ∨ (p → ¬q)) → (¬p ∨ ¬q) 2....
1. Construct a truth table for: (¬p ∨ (p → ¬q)) → (¬p ∨ ¬q) 2. Give a proof using logical equivalences that (p → q) ∨ (q → r) and (p → r) are not logically equivalent. 3.Show using a truth table that (p → q) and (¬q → ¬p) are logically equivalent. 4. Use the rules of inference to prove that the premise p ∧ (p → ¬q) implies the conclusion ¬q. Number each step and give the...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT