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Question

What's the specific difference between lemma and algorithms?


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Solution

Lemma and Algorithms

A proven statement used for proving other statements is called a lemma.

A series of well-defined steps used for proving or solving a problem is called an algorithm.

Formally these two have a same set of patterns but exhibit in a different sense.

Let us consider the separation of Euclid's lemma as an example.

In addition to the given positive values ​​'a' and 'b', there are different numbers 'q' and 'r' so that a=bq+r, where, 0<r<b

The algorithm is a list of well-defined steps to accomplish a task and a lemma (or theorem) is a proven statement that can be used to solve major problems.

Hence, The algorithm is a list of well-defined steps to accomplish a task and a lemma (or theorem) is a proven statement that can be used to solve major problems.


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