I am very sorry for my kind of gloomy series of messages about Logos 4 Mac. Here is where I am:
• Noise has been happily eliminated once the indexing has been completed over the night.
• Still hard to get to the material I am looking for (is there not a way to define a first search window?) and too easy to find a lot of things I am not looking for. The videos tutorials are not only blurred on my screen, and not corresponding to what I stumble across in the software, but the help provided on the software is far from reaching the goal. I have been a (too old?) Mac User for the last thirty years.
• I canot use the software when not logged in, which means that when traveling or in some place not reaching the web, I will be unable to use the product (I guess this is only a mistreatment of mine)? Anyway I loathe to be obliged to through the net to work on whatever I need to.
I AM NOT WAITING FOR ANY ANSWER TILL NEXT WEEK, I just take the opportunity of some rest time to send my reactions just now(Logos was kind of a gift to myself for Christmas). Nevertheless I will have to decide promptly to send back the thing or not next week.
Thanks again for all the answers I have got till now from the Logos team. 
Y. Goldman