Question

Find a model for each of the following wffs. a. ∃x (p(x) → q(x)) ^ ∀x...

Find a model for each of the following wffs.

a. ∃x (p(x) → q(x)) ^ ∀x ¬ p(x)      
          

b. ∃x ∀y p(x, y) ^ ∃x ∀y ¬ p(x, y)

c. ∃x p(x) ^ ∃x q(x) → ∃x (p(x) ^ q(x))

Engineering   Computer-Science   
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
Find a model for each of the following wffs: A:∀x (p(x, f(x)) → p(x, y))
Find a model for each of the following wffs: A:∀x (p(x, f(x)) → p(x, y))
let p(x) and Q(x) be two polynomials and consider the following two cases: case1:p(x) x Q(x)...
let p(x) and Q(x) be two polynomials and consider the following two cases: case1:p(x) x Q(x) case2: 3 Q (x) for each case, find the following: a) the number of terms b) the degree
Consider the following predicate formulas. F1: ∀x ( P(x) → Q(x) ) F2: ∀x P(x) →...
Consider the following predicate formulas. F1: ∀x ( P(x) → Q(x) ) F2: ∀x P(x) → Q(x) F3: ∃x ( P(x) → Q(x) ) F4: ∃x P(x) → Q(x) For each of the following questions, answer Yes or No & Justify briefly . (a) Does F1 logically imply F2? (b) Does F1 logically imply F3? (c) Does F1 logically imply F4? (d) Does F2 logically imply F1?
I. WHICH OF THE FOLLOWING FORMULAS ARE NOT WFFS ? _____1. ~q ~p _____2. É(q ·...
I. WHICH OF THE FOLLOWING FORMULAS ARE NOT WFFS ? _____1. ~q ~p _____2. É(q · r) _____3. p v q · ~r É q _____4. (p v r) · (p v q) É (r · ~q) _____5. (r v s) v ~[(p É r) · (s v q)] _____6. (p · q) v (~r É p) _____7. ~(p É r · p É q) _____8. s _____9. ~~~r _____10. ~(p v r) · q
Let P(x), Q(x) be premises in the free variable x. Express each of the following three...
Let P(x), Q(x) be premises in the free variable x. Express each of the following three sentences using logical symbols. i. Either P(x) is never true or P(x) is true for at least two values of x. ii. For exactly one x, P(x) and Q(x) are both false or both true. iii. At most one of P(x) and Q(x) is true for each x
1. Prove p∧q=q∧p 2. Prove[((∀x)P(x))∧((∀x)Q(x))]→[(∀x)(P(x)∧Q(x))]. Remember to be strict in your treatment of quantifiers .3. Prove...
1. Prove p∧q=q∧p 2. Prove[((∀x)P(x))∧((∀x)Q(x))]→[(∀x)(P(x)∧Q(x))]. Remember to be strict in your treatment of quantifiers .3. Prove R∪(S∩T) = (R∪S)∩(R∪T). 4.Consider the relation R={(x,y)∈R×R||x−y|≤1} on Z. Show that this relation is reflexive and symmetric but not transitive.
Demonstrate the following equivalence [∃x,(P(x) ⇒ Q(x))] ≡ [(∀x, P(x)) ⇒ (∃x, Q(x))].
Demonstrate the following equivalence [∃x,(P(x) ⇒ Q(x))] ≡ [(∀x, P(x)) ⇒ (∃x, Q(x))].
For each vector field F~ (x, y) = hP(x, y), Q(x, y)i, find a function f(x,...
For each vector field F~ (x, y) = hP(x, y), Q(x, y)i, find a function f(x, y) such that F~ (x, y) = ∇f(x, y) = h ∂f ∂x , ∂f ∂y i by integrating P and Q with respect to the appropriate variables and combining answers. Then use that potential function to directly calculate the given line integral (via the Fundamental Theorem of Line Integrals): a) F~ 1(x, y) = hx 2 , y2 i Z C F~ 1...
Find the LUB and GLB of the following sets: (i) {x | x = 2^(−p)+3^(−q )for...
Find the LUB and GLB of the following sets: (i) {x | x = 2^(−p)+3^(−q )for some p,q ∈ N} (ii) {x ∈ R | 3x^(2)−4x < 1} (iii) the set of all real numbers between 0 and 1 whose decimal expression contains no nines
(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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT