translate the following statement inrp predicate logic. The domain for this problem is some unspecified collection of numbers. Consider the predicateP(x, y) = "x is greater than y."(a) Translate the following statement into predicate logic.Every number has a number that is greater than it.(x)(3)(x, y)(x), x)(3x)(y), x)(x)(³)(y,x)Ⓒ (3x)(³y)P(y,x)(b) Negate your expression from part (a), and simplify it so that no quantifier or connective lies within the scope of a negation.O (3x)(3)(~P(y, x))((((, x))(3x)(V)(P(x, y))(3x)(V)(Py, x))(x)(3)(Py, x))(c) Translate your expression from part (b) into understandable English. Don't use variables in your English translatioO All numbers have a number that they are less than or equal to.O There is a number that has a number that it is less than or equal to.O There is a number that all numbers are greater than or equal to.O There is a number that all numbers are less than or equal to.O All numbers are less than or equal to all numbers.

Given: (a) Every number has a number that is greater than it. (b) Negate the expression from part a…

The domain for this problem is some unspecified collection of numbers. Consider the predicate P(x, y) = "x is greater than y." (a) Translate the following statement into predicate logic. Every number has a number that is greater than it. (vx) (y)P(x, y) (((x) (3x))(y,x) (x)(³)(x,x) O (3x) (³)P(y,x) (b) Negate your expression from part (a), and simplify it so that no quantifier or connective lies within the scope of a negation. Ⓒ (3x)(³)(-P(y, x)) ((((x)) ((((x, y)) (3x)(V)((, x)) (x)(3)(-P(y, x)) (c) Translate your expression from part (b) into understandable English. Don't use variables in your English translation. O All numbers have a number that they are less than or equal to. There is a number that has a number that it is less than or equal to. O There is a number that all numbers are greater than or equal to. O There is a number that all numbers are less than or equal to. O All numbers are less than or equal to all numbers.

The domain for this problem is some unspecified collection of numbers. Consider the predicate P(x, y) = "x is greater than y." (a) Translate the following statement into predicate logic. Every number has a number that is greater than it. (vx) (y)P(x, y) (((x) (3x))(y,x) (x)(³)(x,x) O (3x) (³)P(y,x) (b) Negate your expression from part (a), and simplify it so that no quantifier or connective lies within the scope of a negation. Ⓒ (3x)(³)(-P(y, x)) ((((x)) ((((x, y)) (3x)(V)((, x)) (x)(3)(-P(y, x)) (c) Translate your expression from part (b) into understandable English. Don't use variables in your English translation. O All numbers have a number that they are less than or equal to. There is a number that has a number that it is less than or equal to. O There is a number that all numbers are greater than or equal to. O There is a number that all numbers are less than or equal to. O All numbers are less than or equal to all numbers.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters:

Question

translate the following statement inrp predicate logic.

The domain for this problem is some unspecified collection of numbers. Consider the predicate
P(x, y) = "x is greater than y."
(a) Translate the following statement into predicate logic.
Every number has a number that is greater than it.
(x)(3)(x, y)
(x), x)
(3x)(y), x)
(x)(³)(y,x)
Ⓒ (3x)(³y)P(y,x)
(b) Negate your expression from part (a), and simplify it so that no quantifier or connective lies within the scope of a negation.
O (3x)(3)(~P(y, x))
((((, x))
(3x)(V)(P(x, y))
(3x)(V)(Py, x))
(x)(3)(Py, x))
(c) Translate your expression from part (b) into understandable English. Don't use variables in your English translatio
O All numbers have a number that they are less than or equal to.
O There is a number that has a number that it is less than or equal to.
O There is a number that all numbers are greater than or equal to.
O There is a number that all numbers are less than or equal to.
O All numbers are less than or equal to all numbers.

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