koren

I actually explained it in my post to bonanova: ... if, for example, he stands in L mode he will act exactly as L= may be should be added "including self-identification as L"

Actually not. Re-read my posts. Only Q2 is araver's. Q1 is different. The solution works because it identifies R and T. L is the other. Sorry, but I got lost. Is the Q1 in your solution "will your second answer to this question be the same as your first answer?"? If so: Your assumption was for T/L/R answers R/R/W, meaning R will not respond. Why? Here is actually two possible states T/L/L - R is in L mode and T/L/T - R=T. In any case (according to you!) you will get Red.

I understand that this is the solution of araver. Then the Q1 is: If I ask two your neighbors-robots question "Does 1+1=2?" would I get a Yes answer from both of them? let's see:

It is not a condition - completely your choice. The only condition is no more than three questions, each of which is addresses only one robot and not a group.

= Without going into the question-answer logic I should note that there is a basic misunderstanding (maybe my fault) - you can ask only three times and ​​no matter it's the same question or different questions =

Clarifying question 1 is: Is this interpretation of OP correct? If No, you needn't say what part of it is wrong. I can think of at least two ways that it's not right: Clarifying question 2 is: Is either of these interpretations correct?

“THE ROBOTS ENIGMA” puzzle The basis of this puzzle is Raymond’s Smullyan “Three gods puzzle” but with smaller amount of base data, making it more difficult – more difficult than “The hardest logic puzzle ever…” As you can see, there is an incentive – good luck! Three robots A, B, and C are called, in some order, True - (T), False (F) and Random ®. (T) is programmed to speaks truly, (F) – falsely, but whether ® speaks truly or falsely is a completely random matter. The robots can answer only YES or NO. Each robot is equipped with two small lamps - red and white. When robot responds – the red light lights up, but you do not know he said YES or NO. When there is no answer – lights up the white light. Your task is to determine the identities of A, B, and C by asking no more than three questions; each question must be put to exactly one robot.