Question: By using logical equivalences, prove that q ( p - > q ) is a tautology. ( You must write the names of the rules

By using logical equivalences, prove that q (p -> q) is a tautology. (You must
write the names of the rules that you apply.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

By using logical equivalences, prove that q ( p - > q ) is a tautology. ( You must write the names of the rules that you apply. )

Q:

By using logical equivalences, prove that q ( p - > q ) is a tautology. ( You must write the names of the rules that you apply. )

Q:

Q1: Determine by using logical equivalences whether the following compound proposition ia a tautology: (pA (p q)) -q Q2: Translate these statements into English, where R(x) is x is a rabbit', and H...

Q:

Prove, by using logical equivalences, that ((ac)(bc))((cb)(ca)) is a tautology.(Do not forget to write the name of the rules that you apply.)

Q:

Below are the 16 rules to be used for this problem: 1. Natural Deduction III [4 points] a) Using only the 16 basic intro/elim rules of Natural Deduction (you may not use logical equivalences), prove...

Q:

Below are the 16 rules to be used for this problem: Using only the 16 basic intro/elim rules of Natural Deduction (you may not use logical equivalences), prove that Vx[P(x) + (Q(x) 1 R(x))] EX(-R(3)...

Q:

5. (7 points) Prove (pA (pq))q is a tautology using logical equivalences (laws). Identify the logical equivalence(s) used in each step. Complete the proof below by filling in the blanks. (pA (pq))q(p...

Q:

Written without proper operators since upload error when using them. ( and = conjunction, negation = not operator) Please make sure you include the name of the rule for every step! 1. a) Using only...

Q:

1- Let P(x) denote the statement that log(x3)8 (where x is an integer). Determine whether the following statements are True or False. a) P(2) b) xP(x) c) xxP(x) d) xP(x) e) xP(x) 2- Translate these...

Q:

Why is a good writing style particularly important in a job application letter?

Q:

Historically, what types of risk were the focus of most firms risk-management practices?

Q:

Burgess Co . purchase 3 5 % of Egg Co's outstanding common stock on December 3 1 for $ 3 0 0 , 0 0 0 . On that date, Egg's stockholders' equity was $ 6 0 0 , 0 0 0 , and the fair value of its...

Q:

The Production Department of Hruska Corporation has submitted the foliowing forecast of units to be produced by quarter for the upcoming fiscal year: Each unit requires 0.25 direct labot-hours and...

Q:

___ 14. I am most fulfilled in my career when I have been able to use my talents in the service of others.

Q:

___ 10. I dream of being in charge of a complex organization and making decisions that affect many people.

Q:

___ 5. I am always on the lookout for ideas that would permit me to start my own enterprise.