Category: Uncategorized

Problem Detail: Does anybody know a good definition of 2 decision / optimization problems being equivalent? I am asking since for example allowing polynomial time computations any 2 problems in NP could be considered equivalent. Asked By : Reb Answered By : Yuval Read More …

Problem Detail: I am trying to create a DFA that can recognize strings with alphabet ${a,b,c}$ where $a$ and $c$ appear even number of times and where $b$ appears odd number of times. I am wondering that this may only be Read More …

Problem Detail: We are given an undirected graph weighted with positive arc lengths and a distinguished edge $(a,b)$ in the graph. The problem is to replace this edge by two edges $(a,c)$ and $(c,b)$ where $c$ is a new node, such Read More …

Problem Detail: Basically, is the following statement true? $A leq_p B$ $rightarrow$ $B leq_p A$ Asked By : robowolverine Answered By : Sasho Nikolov Short answer: No. For one example, take $A$ to be the language $A = {0, 1}^*$, i.e. the language Read More …

Problem Detail: I hope that this question is clear, and not off-topic: I have been reading about neural networks (in the AI sense), and the textbook said that an artificial neural network can always be described by a single mathematical function Read More …

Problem Detail: If $L$ is a binary language (that is, $L subseteq Sigma = {0,1}^∗$) and $overline{L}$ is the complement of $L$: How can I show that if $L in mathsf P$, then $overline{L} in mathsf P$ as well? Asked By Read More …

Problem Detail: This was interview question. When the input is a infinite sequence of numbers starting from 1, what is the nth digit? e.g.) 123456789101112131415161718192021….. here 28th digit is 1. Asked By : Sungguk Lim Answered By : wvxvw Just to add a Read More …

Problem Detail: I am aware that this seems a very stupid (or too obvious to state) question. However, I am confused at some point. We can show that P $=$ NP if and only if we can design an algorithm that Read More …