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I would like to know what would be the best approach to compare two texts and see the differences between them.

For example: 

Sent_1=“This toolset is a set of macros for performing a number of modelling tasks.”

Sent_2=“This tool is a set of macros which help performing a certain number of tasks.”

I do not mind the context/meaning at the moment, but I would like to know what it would be the best approach to spot differences (looking at each word, antecedent and subsequent to it) and see how accurate it is.

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You could look at string similarity measures and TFIDF (usually with cosine). If you want a measure which works at both levels of words and sentences, there are more advanced options such as SoftTFIDF.

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