Author: ignougroup

Problem Detail:  HALT$_{TM}$ is the set of all machine-input pairs $<M,w> $ where $M$ halts on input $w$ The complement of HALT$_{TM}$ is the set of all machine-input pairs $<M,w> $ where $M$ doesn’t halt on input $w$ Show that Read More …

Problem Detail: Currently, I’m delving into Analysis of Algorithms and I’ve discovered that I would need to improve my knowledge of Probability Theory. Any recommendation? Where do I start? Thanks in advance! Asked By : vicentazo Answered By : Wandering Logic The best Read More …

Problem Detail: Let Two-Solutions-SAT be the language of Boolean formulas that have exactly two distinct satisfying assignments. Show Two-Solutions-SAT is co-NP-hard. I know how to show that the complement of Two-Solutions-SAT is in NP, it’s relatively easy to create a nondeterministic Read More …

Problem Detail: The master method allows us to solve certain recurrences of the form $$T(n) = aT(n/b)+f(n),,$$ where $age1$ and $b>1$ are constants and $f(n)$ is a positive function with some further restrictions that aren’t important for this question. The above Read More …

Problem Detail: Set cover is NP-complete given an arbitrary set $U$, a set $S$ of subsets of $U$, and an integer $k$. However, what if $k$ is always a constant 3? Is that problem still NP-complete? Asked By : TheJKFever Answered By Read More …

Problem Detail: I have some questions regarding tree search and graph search (Uninformed search) as explained in chapter 3 of the book : http://aima.cs.berkeley.edu/ As I see, the only difference between the two is that the graph search handles loops (avoids Read More …

Problem Detail: Before I’ll ask my question, let me start with my understanding of the definitions, to prevent myself with further confusion, as well as giving some background. Huffman Code is the binary-code induced from a binary tree, constructed by Huffman’s Read More …

Problem Detail: From Wikipedia: The type of computational problem: The most commonly used problems are decision problems. However, complexity classes can be defined based on function problems, counting problems, optimization problems, promise problems, etc. I also saw the definitions of NP-complete, Read More …

Problem Detail: I do not have any argument opposing why we need only a single universal class. However why not we have two universal classes, say an Object and an AntiObject Class. In nature and in science we find the concept Read More …

Problem Detail: In the seminal distributed systems paper The Part Time Parliament (the Paxos protocol), Leslie Lamport names fictional legislators who are involved in the Paxon parliament protocol. According to this writing, he notes that: I gave the Greek legislators the Read More …