am əsoddns and remainder when dividing a by b: program thnat computes the quotient r = a q = 0 while r >= b: r = r - b q += 1 and • precondition: (a > 0) ^ (b > 0) • postcondition: (a = bq +r) ^ (0

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
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Answer the following question accordingly. This is a Discrete Structures problem...
Suppose we have the following program that computes the quotient
and remainder when dividing a by b:
r = a
while r >= b:
r = r - b
q += 1
and
precondition: (a > 0) A (b > 0)
postcondition: (a = bq + r) ^ (0 <r < b)
Prove that this program is correct.
Transcribed Image Text:Suppose we have the following program that computes the quotient and remainder when dividing a by b: r = a while r >= b: r = r - b q += 1 and precondition: (a > 0) A (b > 0) postcondition: (a = bq + r) ^ (0 <r < b) Prove that this program is correct.
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