Answered: Consider the following Hoare triple,…

Consider the following Hoare triple, where we write {{P}} S {{Q}} for the Hoare triple for program S with precondition P, postcondition Q {{x = 0 Az 20}} y:= 0 while (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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Question

Consider the following Hoare triple, where we write {{P}} S {{Q}} for the Hoare triple for program S with precondition P, postcondition Q
{{x = 0 Az 20 }}
y: = 0
while (x <z) {
X: = x + 1;
y: = y+X
{{ 2y = z* (z + 1) }}
We want to prove the partial correctness of this program, using the partial-while rule. Which formula below can we use as the invariant I?
2y = x* (x + 1)
2у %3D x*(x + 1) л х<z
2y = z* (z + 1) AX<Z
2y %3D x* (x + 1) л х%3DZ

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