Question

Give the implementation-level description of a Turing machine that decides the following language over the alphabet a, b, c^. You are encouraged but not required to use a multi- tape and/or nondeterministic Turing Machine. Lan n s a positive integer )

Answer 1

The implementation level details mainly require you to mention the change when seeing different alphabets. There can be different ways of denoting this change. I have followed a simple way to denote them and also explained every step clearly. These steps are more than enough to create a complete Turing machine. Since this is easier to understand than a non-deterministic or multi-tape Turing machine, I use this method so that you can clearly understand what is happening. The problem only encourages and not mandates the use of these techniques.

AMs) GIVEN mIs a positive integer wedete changesing enote 6(s, aAcian on seeing a on seeing a on state s L, R , a, R) a),a, R) Mght bitb Left r Right ( ( CA. Change ist a to C hang i Cnanging 2 Moving gh c Chan 9,4,Z, R) 95, 2,R) (1-2, L) (9,2,L) (4, b, L) (FL, y, L) 46, a, L gngc Chonging Changing ( qs, c) hanging 31 ct.Z = 2 Moving lejt tinwe > find nest a is aftey thet as tne S (q' , a) (96) x) ma y be X, R Moving Tghtonly 6 (97, 2, R) Y and 2 are found Ending on spare

Finally, a few more small things to take care of (mentioning them here to emphasize as people often forget these steps in the implementation:

Ne AL O H To SKIP THE Y AVE To MPLEMNT AFCN MORE RULES THROUGHAND AFTER FIRST CANGC ARE qleave/ignore 13, 2)