Question: please i want steps by steps to show that the proof is true. thanks Prove that each of the following predicate logic statements is valid

please i want steps by steps to show that the proof is true. thanks

Prove that each of the following predicate logic statements is valid (true in all possible interpretations). 1. (x)(P(x,a))P(a,a) 2. (Vx)(P(x)Q(a))(Q(a)P(a)) 3. (x)(P(x))(x)(Q(x))P(a)Q(b) 4. (x)(P(x)Q(x))P(a)Q(b) 5. (P(a)(x)(Q(a,x)))(P(a)Q(a,b)) 6. (x)(P(x)Q(a))(y)(P(y))Q(a)

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!

A particle having charge q moves in electromagnetic potential (A). Rate of change of mv + q is equal to gradient of qo q+qA.v qo-qA.v qA-V-qo O

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

\fsh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Math 280 Strategies of Proof Fall 2007 Class Notes 3.6 Proving Conditional Statements II: Indirect Proofs In Section 3.4, we studied...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Confirming Pages C H A P T E R 19 Analyzing Information and Writing Reports Chapter Outline Using Your Time Efficiently Analyzing Data and Information for Reports Identifying the Source of the Data...

3 ,,uoh "gram 3 Eww 3 m T mm H a 3 .2 ' m w .,.m.av>v 3. m. @3on we geonwoaoa mm H "with M'nr H E. wads + we A at. ES 0 3.8V WEE 3563 mo wow 23 E m \"9H .3 avgmeMm\" mnemagouom Aggy\"...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

A seismic probe bores itself into the seabed, going as deep as it can before running out of fuel. This takes about five minutes. It rotates its spiral drill head at rate R(t) that follows a...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Distributed Systems Einstein has established that there is no universal time. For earth-based computer systems discuss how events might be assiganed a time stamp which is reasonably close to...

The handle of a ladle used for pouring molten lead is 30 cm long. Originally the handle was made of 1.9 1.25 cm mild steel bar stock. To reduce the grip temperature, it is proposed to form the...

What information does the evidence the auditor gathers using internal control tests provide? What information does the evidence the auditor gathers using substantive testing provide? Which type of...

What is not a problem with the Regular Payback Period method? Cashflows beyond the payback year do not matter. It is easier to calculate and understand and is very appealing to decision makers....

Bill and Joe decided to go on vacation together. Bill lives in Boston, and Joe lives in New York. They flip a coin to decide if they will fly from Boston or from New York, and then they flip a coin...

Taking the Meteor case study, do you think an assessment centre is a fair method of making the fi nal selection? What are the successes and problems associated in this particular case? Make your...

Set out the practical issues that may face management when working with a nonunionised workforce. For example, one issue would be how to communicate with employees.

Construct a structured interview for the position of student counsellor, using situational questions, patterned behavioural descriptions and criterion based questions (see case study 3.3).