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This is a Matlab adaptation of the Knives and Knaves logical puzzles, mixed with the famous man-in-the-middle attack in computer security.

You are in an island where all inhabitants are either *Knights*, who always tell the truth, or *Knaves*, who always lie. Your job is to sit in the middle of an islander and a second person interviewing the islander, intercepting all questions posed to the islander, and answering to the interviewer in a way that will make him think that the islander is the opposite type of what he really is (answer as a Knave if the islander is a Knight, or answer as a Knight if the islander is a Knave).

**Details:**

You are given a function handle F of an islander (either a Knight or a Knave, you do not know which). The function *y=F(str)* takes a string as input (the 'question'), and returns a logical value (the yes/no 'answer' this particular islander would give to this question). Valid questions are any valid matlab command. The islander has access to the following variables (his pool of 'knowledge'):

**A**: Islander's type: true for a Knight, false for a Knave**X**: A secret formula only islanders know. A function on positive integer values that when evaluated returns a logical value.

Your function will receive as input a function handle of an islander, and a question. It should return the answer this same islander would give to this question if he was the opposite type than he really is. In other words:

your_function(@Knight,str) should return Knave(str) your_function(@Knave,str) should return Knight(str)

Your function might query the function handle of the islander with whatever questions it sees fit before responding.

**Examples:**

your_function(@Knight,'A==true') == true;

your_function(@Knave,'A==true') == true;

This question asks whether the islander is a Knight; a Knave would respond *true* to this question, since he always lies.

your_function(@Knight,'F(''A==true'')==true') == false;

your_function (@Knave,'F(''A==true'')==true') == true;

This question asks if the islander would respond yes to the question of whether he is a Knight. A Knight would respond 'yes', while a Knave would (falsely) respond 'no'.

your_function(@Knight,'X(3)~=X(2)') == true

your_function(@Knave,'X(3)~=X(2)') == false

(Assuming X(2)==X(3); you do not know the values of X, only islanders do)

7 correct solutions
19 incorrect solutions

Last solution submitted on Jul 21, 2015

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