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# Show that the set of all computer programs in a particular

ISBN: 9780073383095 37

## Solution for problem 37E Chapter 2.5

Discrete Mathematics and Its Applications | 7th Edition

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Problem 37E

Show that the set of all computer programs in a particular programming language is countable. [Hint: A computer program written in a programming language can be thought of as a string of symbols from a finite alphabet.]

Step-by-Step Solution:

Step 1</p>

The set of all computer programs in a  particular programming language  is countably infinite .

Each programme must be finite in length and the set of all possible programs is infinite.

Let be the set of all programs of length n .

Each  is...

Step 2 of 3

Step 3 of 3

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Show that the set of all computer programs in a particular

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