Problem Detail: I was wondering what the complexity of the following problem is: Given: A flow network $N$ with a source $s$, sink $t$ and a number $k$. Question: Is there an $s$-$t$ cut of capacity at most $k$? Obviously, the Read More …
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[Solved]: Unification — most specific unifier
Problem Detail: In unification, given a set of equations, a standard problem is to compute a most general unifier (mgu). I am interested in a somewhat reversed problem. Imagine having a set of equations that do not have an mgu, like Read More …
[Solved]: What was going on before PAC learning
Problem Detail: I am investigating PAC learning (computational learning theory) as a beginner with no previous knowledge of machine learning / AI. I am investigating the model mainly from a historical point of view. For this, the most important things are Read More …
[Solved]: Sublinear query time for the $i$th element of an array after some additions?
Problem Detail: We are given an array $A[1..n]$ of integers, and an array of 3-tuples known as queries. The query tuples $(i,j,v)$ denote additions of an integer $v$ to the subarray of $A[i..j]$. I’m interested in the query time of $A[k]$ Read More …
[Solved]: Determining the particular number in $O(n)$ time and space (worst case)
Problem Detail: $newcommandldotd{mathinner{..}}$Given that $A[1ldotd n]$ are integers such that $0le A[k]le m$ for all $1le kle n$, and the occurrence of each number except a particular number in $A[1ldotd n]$ is an odd number. Try to find the number whose Read More …
[Solved]: Faster growing busy beaver function
Problem Detail: Standard busy beaver function draws attention to final count of nonzero symbols on tape. We could instead look at largest amount of nonzero symbols appearing on tape at any point of computation. This function’s lower bound would be $Sigma(n)$ Read More …
[Solved]: NP Problem definition – verifiable on DFA vs. solvable on NFA
Problem Detail: So in complexity theory, I’ve run across different definitions for NP problems — Decision problems where a solution can be verified by a DFA in polynomial time Decision problems where a solution can be found by an NFA in Read More …
[Solved]: Complexity of the Kitten Adoption problem
Problem Detail: This came up while I was trying to answer this question on Wiring Length Minimization. I was going to call this the “polygamous marriage” problem, but the internet, so kittens. Yay! Suppose we have $M$ kittens that need to Read More …
[Solved]: Direction of restriction for NP hard proves
Problem Detail: I have a very silly question, as I am reading through all the proofs showing a problem is NP hard, one of the techniques is by showing an already-proven NP complete problem is a special case for that problem. Read More …
[Solved]: what is the difference between memory access and data memory access?
Problem Detail: what is the difference between memory access and data memory access? for example, here are the examples of register transfer language instructions: $R1 ←[18]$ $R2 ←[R1 +3]$ $R1 ← R1 +2$ $[8] ← R1$ From my understanding, memory access Read More …