Show that the program construction schema of for loop can be constructed in any simple computer. The for loop is the schema ΚΕΝ h: A x B → A f = FOR(k, h): A x B → A where f(x, y) = ak is defined by the sequence do, ā1, . ão = x and ak E Em defined by di+1=h(ai, y)

Show that the program construction schema of for loop can be constructed in any simple computer. The for loop is the schema ΚΕΝ h: A x B → A f = FOR(k, h): A x B → A where f(x, y) = ak is defined by the sequence do, ā1, . ão = x and ak E Em defined by di+1=h(ai, y)

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

Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.

Question

Show that the program construction schema of for loop can be constructed in any simple computer. The
for loop is the schema
ΚΕΝ
h: A x B → A
f = FOR(k, h): A x B → A
where f(x, y) = ax is defined by the sequence do, a₁,..., āk € Em defined by
do = x
āi+1 = h(ai, y)
and

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