Quantifiers are called quantifiers because they express something about the number of elements that satisfy a certain property. Show how to express the following ‘quantified’ statements in predicate logic with a unary relation symbol R. You don’t have to introduce any new quantifiers to do this, although you will need to keep in mind that the atomic formula x=yis always considered to be part of the language. (a) Exactly one x satisfies R(x). (b) At least one x satisfies R(x). (c) No more than three x satisfy R(x). (d) All but one x satisfy R(x).
Quantifiers are called quantifiers because they express something about the number of elements that satisfy a certain property. Show how to express the following ‘quantified’ statements in predicate logic with a unary relation symbol R. You don’t have to introduce any new quantifiers to do this, although you will need to keep in mind that the atomic formula x=yis always considered to be part of the language. (a) Exactly one x satisfies R(x). (b) At least one x satisfies R(x). (c) No more than three x satisfy R(x). (d) All but one x satisfy R(x).
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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Quantifiers are called quantifiers because they express something
about the number of elements that satisfy a certain property. Show
how to express the following ‘quantified’ statements in predicate
logic with a unary relation symbol R. You don’t have to introduce
any new quantifiers to do this, although you will need to keep in
mind that the atomic formula x=yis always considered to be part
of the language.
(a) Exactly one x satisfies R(x).
(b) At least one x satisfies R(x).
about the number of elements that satisfy a certain property. Show
how to express the following ‘quantified’ statements in predicate
logic with a unary relation symbol R. You don’t have to introduce
any new quantifiers to do this, although you will need to keep in
mind that the atomic formula x=yis always considered to be part
of the language.
(a) Exactly one x satisfies R(x).
(b) At least one x satisfies R(x).
(c) No more than three x satisfy R(x).
(d) All but one x satisfy R(x).
(d) All but one x satisfy R(x).
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