3. Let P: N→ N be a unary predicate (not necessarily computable). Define predicate Q: N → NbyQ(r)=1 if there are at least r natural numbers n such that P(n) = 10 otherwise.Show that is primitive recursive. (Hint: Let N be the number of natural numbers n such that1. Note that N is either infinity or some natural number; in any case N depends only on=P(n)P.)

To show that Q is primitive recursive, we need to define a primitive recursive function that…

3. Let P: N→ N be a unary predicate (not necessarily computable). Define predicate Q: N → N by Q(r) = = [1 if there are at least r natural numbers n such that P(n) = 1 { otherwise. Show that is primitive recursive. (Hint: Let N be the number of natural numbers n such that 1. Note that N is either infinity or some natural number; in any case N depends only on = P(n) P.)

3. Let P: N→ N be a unary predicate (not necessarily computable). Define predicate Q: N → N by Q(r) = = [1 if there are at least r natural numbers n such that P(n) = 1 { otherwise. Show that is primitive recursive. (Hint: Let N be the number of natural numbers n such that 1. Note that N is either infinity or some natural number; in any case N depends only on = P(n) P.)

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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