Question

Please explained using formal proofs in predicate logic In each part below, give a formal proof...

Please explained using formal proofs in predicate logic

In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false.

(a) ∀xP' (x) → ∃x[P(x) → Q' (x)].

(b) ∃x[P(x) → Q' (x)] → QxP' (x).

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

ANSWER :

GIVENTHAT :

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
Please explained using the inference rules and also show all steps. In each part below, give...
Please explained using the inference rules and also show all steps. In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false. (a) ∀xP' (x) → ∃x[P(x) → Q'(x)]. (b) ∃x[P(x) → Q'(x)] → ∃xP' (x).
Please explained using the inference rules and also show all steps. In each part below, give...
Please explained using the inference rules and also show all steps. In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false. (a) ∀xP' (x) → ∃x[P(x) → Q'(x)]. (b) ∃x[P(x) → Q'(x)] → ∃xP' (x).
In each part below, give a formal proof that the sentence given is valid or else...
In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false. (a) ∀xA(x) → ∃x[B(x) → A(x)]. (b) ∃x[B(x) → A(x)] → ∃xA(x).
In each part below, give a formal proof that the sentence given is valid or else...
In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false. (a) [∀xA(x) ∨ ∀xB(x)] → ∀x[A(x) ∨ B(x)]. (b) [∃xA(x) ∧ ∃xB(x)] → ∃x[A(x) ∧ B(x)].
For each set of conditions below, give an example of a predicate P(n) defined on N...
For each set of conditions below, give an example of a predicate P(n) defined on N that satisfy those conditions (and justify your example), or explain why such a predicate cannot exist. (a) P(n) is True for n ≤ 5 and n = 8; False for all other natural numbers. (b) P(1) is False, and (∀k ≥ 1)(P(k) ⇒ P(k + 1)) is True. (c) P(1) and P(2) are True, but [(∀k ≥ 3)(P(k) ⇒ P(k + 1))] is False....
(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...
1. For each statement that is true, give a proof and for each false statement, give...
1. For each statement that is true, give a proof and for each false statement, give a counterexample     (a) For all natural numbers n, n2 +n + 17 is prime.     (b) p Þ q and ~ p Þ ~ q are NOT logically equivalent.     (c) For every real number x ³ 1, x2£ x3.     (d) No rational number x satisfies x^4+ 1/x -(x+1)^(1/2)=0.     (e) There do not exist irrational numbers x and y such that...
For each part below, give an example of a linear system of three equations in three...
For each part below, give an example of a linear system of three equations in three variables that has the given property. in each case, explain how you got your answer, possibly using sketches. (a) has no solutions (b) has exactly one solution which is (1, 2, 3). (c) any point of the line given parametrically be (x, y, z) = (s − 2, 1 + 2s, s) is a solution and nothing else is. (d) any point of the...
You’re the grader. To each “Proof”, assign one of the following grades: • A (correct), if...
You’re the grader. To each “Proof”, assign one of the following grades: • A (correct), if the claim and proof are correct, even if the proof is not the simplest, or the proof you would have given. • C (partially correct), if the claim is correct and the proof is largely a correct claim, but contains one or two incorrect statements or justications. • F (failure), if the claim is incorrect, the main idea of the proof is incorrect, or...
*******please don't copy and paste and don't use handwriting **** Q1: Using the below given ASCII...
*******please don't copy and paste and don't use handwriting **** Q1: Using the below given ASCII table (lowercase letters) convert the sentence “welcome to cci college” into binary values. a - 97 b - 98 c - 99 d - 100 e - 101 f - 102 g - 103 h - 104 i - 105 j - 106 k - 107 l - 108 m - 109 n - 110 o - 111 p - 112 q - 113...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT