Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Question
This exercise contains a while loop annotated with a pre- and a post-condition and also a loop invariant. Use the loop invariant theorem to prove the
correctness of the loop with respect to the pre- and post-conditions.
[Pre-condition: m is a positive integer, largest = A[1] and i = 1]
while (i + m)
1. i := i +1
2. if A[i] > largest then largest := A[i]
end while
[Post-condition: largest = maximum value of A[1], A[2], ..., A[m]]
loop invariant: I(n) is "largest = maximum value of A[1], A[2],
A[n + 1] and i = n+ 1."
Proof: 1. Basis Property: Select I(0) from the choices below.
O largest = 0.
O largest = the maximum value of A[1] and i = 1.
O largest = the maximum value of A[1].
O largest = the maximum value of A[O + 1] and 0 + 1.
O largest = 1.
O largest =
According to the pre-condition
this statement is true.
Complete the proof by constructing proofs for each of the following: II. Inductive Property, III. Eventual Falsity of Guard, and IV. Correctness of the Post-
Condition. Submit your answer as a free response. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
expand button
Transcribed Image Text:This exercise contains a while loop annotated with a pre- and a post-condition and also a loop invariant. Use the loop invariant theorem to prove the correctness of the loop with respect to the pre- and post-conditions. [Pre-condition: m is a positive integer, largest = A[1] and i = 1] while (i + m) 1. i := i +1 2. if A[i] > largest then largest := A[i] end while [Post-condition: largest = maximum value of A[1], A[2], ..., A[m]] loop invariant: I(n) is "largest = maximum value of A[1], A[2], A[n + 1] and i = n+ 1." Proof: 1. Basis Property: Select I(0) from the choices below. O largest = 0. O largest = the maximum value of A[1] and i = 1. O largest = the maximum value of A[1]. O largest = the maximum value of A[O + 1] and 0 + 1. O largest = 1. O largest = According to the pre-condition this statement is true. Complete the proof by constructing proofs for each of the following: II. Inductive Property, III. Eventual Falsity of Guard, and IV. Correctness of the Post- Condition. Submit your answer as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Computer Networking: A Top-Down Approach (7th Edi...
Computer Engineering
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:PEARSON
Text book image
Computer Organization and Design MIPS Edition, Fi...
Computer Engineering
ISBN:9780124077263
Author:David A. Patterson, John L. Hennessy
Publisher:Elsevier Science
Text book image
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:9781337569330
Author:Jill West, Tamara Dean, Jean Andrews
Publisher:Cengage Learning
Text book image
Concepts of Database Management
Computer Engineering
ISBN:9781337093422
Author:Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:Cengage Learning
Text book image
Prelude to Programming
Computer Engineering
ISBN:9780133750423
Author:VENIT, Stewart
Publisher:Pearson Education
Text book image
Sc Business Data Communications and Networking, T...
Computer Engineering
ISBN:9781119368830
Author:FITZGERALD
Publisher:WILEY