You have to think of it ignoring the language.
When you show a baby the same thing using two words, he understand that those words are synonym. He might not have understood perfectly, but he will learn when this is repeated.
You type "problem with gmail".
Two choices:
- Your search give results: you click on one item.
The system identify that this item was already clicked before when searching for "google mail bug". That's a match, and we will call it a "relative search".
- Your search give poor results:
We will search in our history for a matching search:
We propose : "do you mean trouble with yahoo mail? yes/no". You click no, that's a "no match". And we might propose others suggestions like a list of known "relative search" or a list of might be related playing with both full text search in our history and levenshtein distance.
When a term is sufficiently scored to be considered as a "synonym", you can consider it is. Algorithm might be wrong, but in fact it depends on what you really expect.
If i search "sending a message is difficult with google", and "gmail issue", nothing is synonym, but search are relatively the same. This is more important to me than true synonyms.
And if you really want to get the synonym, i would do it in a second phase comparing words inside "relative searches" and would include a manual check.
I think google algorithm use synonym mainly to highlight search terms in page result, but not to do an actual search where they use the relative search terms, except in known situations, as the result for "gmail" and "google mail" are not the same.
But if you identify 10 relative searches for "gmail" which all contains "google mail", that will be a good start point to guess they are synonyms.