Editing String searching

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A straightforward string search algorithm looks as follows. Let the characters of the needle be denoted <math>x[1], x[2], ..., x[m]</math> and those of the haystack <math>y[1], y[2], ..., y[n]</math>:
 
A straightforward string search algorithm looks as follows. Let the characters of the needle be denoted <math>x[1], x[2], ..., x[m]</math> and those of the haystack <math>y[1], y[2], ..., y[n]</math>:
 
<pre>
 
<pre>
for i &isin; [0..n-m]
+
for i &isin; [0..m-n]
 
     match &larr; true
 
     match &larr; true
 
     for j &isin; [1..m]
 
     for j &isin; [1..m]

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