Consider the searching problem: Input: A sequence of n numbers A = [a1; a2; : : : ; an] and a value v. Output: An index i such that v = A[i] or the special value NILL if v does not appear in A. (i) Write pseudocode for linear search, which scans through the sequence, looking for v.(write the code) (ii) Using a loop invariant, prove that your algorithm is correct.  proof by induction base case inductive step and proof of corretness

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
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 Consider the searching problem:
Input: A sequence of n numbers A = [a1; a2; : : : ; an] and a value v.
Output: An index i such that v = A[i] or the special value NILL if v does not appear in A.
(i) Write pseudocode for linear search, which scans through the sequence, looking for v.(write the code)
(ii) Using a loop invariant, prove that your algorithm is correct. 
proof by induction base case inductive step and proof of corretness

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