[Vocabulary] allude v. imply v. refer v. suggest

[hhtt21]

"Software applications that perform symbolic calculations are called computer algebra systems,with the term system alluding to the complexity of the main applications that include ..."


Are "imply", "refer" and "suggest" good substitutions for "allude" in the above and do they retain the meaning of "allude" and convey the same idea that "allude" conveys?

https://en.wikipedia.org/wiki/Computer_algebra+&cd=3&hl=tr&ct=clnk&gl=tr

 

[hhtt21]

The word 'refer' is the only reasonable substitute, i.e. 'referring'.

But I am confused. Is "allude" there exact synonym with "imply"?

https://en.oxforddictionaries.com/definition/allude

Suggest or call attention to indirectly; hint at.

 

[hhtt21]

No. 'imply' is direct; 'this' implies 'that'.

'allude' can be an 'oblique' reference, not necessarily direct. Think about it.

Thank you for the above notification. But would you or someone else here please demonstrate this difference? Can you give demonstrative, comparing examples that easily reveals the difference between "allude" and "imply" because that knowledge is higher above my level.

 

[hhtt21]

Maybe this will help:

"In his remarks, John implied that Mary was very attractive, but everyone knew that he was alluding to ​(indirectly referring to) her style of form-fitting yoga pants and halter top."

Would you please give a direct speech example belonging to the above.

Is this O.K: (John says) Mary will enter the dream of most men here."?

 

[Raymott]

"Allude" and "imply" mean completely different things. They are not even close.
In fact, I'd say that "alluding" is not used properly in your original sentence. Computer algebra systems are called that because they are systems, not because the term alludes to the properties of a system. Computer algebra systems possess the properties of a system. The term is purely descriptive, not allusive.

It might be easier to explain the difference between "allude" and "imply" if you told us why you think they mean the same.