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Oct 6, 2018 at 12:16 comment added rballiwal @Apass.Jack there?
Oct 6, 2018 at 7:20 comment added rballiwal @Apass.Jack the answer by aknautiyal is wrong just make the automata for |N(a)-N(b)| = 3n and its wrong
Oct 2, 2018 at 2:43 comment added rballiwal @Apass.Jack his answer is ok for |n(a) -n(b) | = 2k , but when asked about N(a)-N(b) = 2k he said that we can not form a general automata , so that is in fact weird , as we can form one with 3 states representing {-1,0,1} .please beware that -1 is is nothing but a state where the string like , b,bbb goes but this only means that they should not be accepted i.e after reaching bbb the FA should reach a state that is not final . but saying existence of bbb does not satisfy the nature of equation is absurd. so yeah we can form an automata for n(a) -N(b) = 2k, 3k, 4k,...
Oct 2, 2018 at 0:03 comment added John L. @aknautiyal's answer is pretty good In fact. I advise you to up-vote and accept it. Unless you have any further doubt, which should be another question probably, I will not write another answer that will be basically a duplicate.
Oct 1, 2018 at 6:58 comment added rballiwal i will upvote it if found good
Oct 1, 2018 at 6:15 comment added rballiwal @Apass.Jack i request you to read question once again and i think you will find that i have asked more than two thing of which some being like , whether is the difference ( N(a) -N(b) )is even(or divisible by 2) ,but i have asked the same in more general form like is the difference( N(b) -N(b) ) is divisible by 3 to which i have written an equation of form N(a) -N(b) = 3k , where 3k being set of natural numbers. i thought that you will understand but my bad you did not . so can you answer now that whether for ( N(a)-N(b) ) =3k (where k is set of natural number ) we can form a finite automata
Sep 30, 2018 at 15:08 comment added John L. Sorry, which one do you mean? I asked a question of two choices. But you answered with yes. Once again, do you mean $L_k$ for a fixed $k$ or do you mean the difference is even? Or do you think those two choices are the same (to me, those two choices are very different)?
Sep 30, 2018 at 11:38 history edited rballiwal CC BY-SA 4.0
i have encountered that many of you are mistakenly reading k as an integer which its not and that is what i have edited
Sep 30, 2018 at 11:35 comment added rballiwal @Apass.Jack yeah the language described is just a single case of a generalisation but it answers only one aspect my whole problem which have a many small yet important aspect connected to the language L but here the have just made an automata of language and that it @ david had said for generalisation but iam awaitng his further response
Sep 30, 2018 at 7:29 comment added John L. "$L = \big\{ w : w \in \{a,b\}^*,\ |n(a) - n(b)| = 2k\}$", you said. Do you mean $L_k = \big\{ w : w \in \{a,b\}^*,\ |n(a) - n(b)| = 2k\}$ for some fixed non-negative integer $k$, or $L = \big\{ w : w \in \{a,b\}^*,\ |n(a) - n(b)| \text { is even}\}$? Apparently, people are answering your question according to either one of these interpretations.
Sep 29, 2018 at 18:30 answer added aknautiyal timeline score: 2
Sep 29, 2018 at 16:54 history edited rballiwal CC BY-SA 4.0
edited title
Sep 29, 2018 at 13:23 answer added David Richerby timeline score: 3
Sep 29, 2018 at 13:09 history edited David Richerby CC BY-SA 4.0
Copy-edit
Sep 29, 2018 at 12:38 history edited rballiwal CC BY-SA 4.0
deleted 89 characters in body
Sep 29, 2018 at 3:49 history asked rballiwal CC BY-SA 4.0