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Author: ignougroup

[Solved]: Reductions among Undecidable Problems

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Im sorry if this question has some trivial answer which I am missing. Whenever I study some problem which has been proven undecidable, I observe that the proof relies on a reduction to another problem which has been proven Read More …

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[Solved]: Minimizing the full adder – where did this XOR come from?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: When minimizing the full adder, I don’t understand why $A(bar{B}bar{C} + BC)$ reduces to $Aoverline{(Boplus{C})}.$ $(bar{B}bar{C} + BC)to (Boplus{C})$ is partially decipherable, but why is $(Boplus{C})$ inverted to $overline{(Boplus{C})}?$ Full adder simplification: $ bar{A}bar{B}C + bar{A}Bbar{C} + Abar{B}bar{C} + Read More …

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[Solved]: How to scale down parallel complexity results to constantly many cores?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I have had problems accepting the complexity theoretic view of “efficiently solved by parallel algorithm” which is given by the class NC: NC is the class of problems that can be solved by a parallel algorithm in time $O(log^cn)$ Read More …

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[Solved]: Tips for creating “Context Free Grammar”

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I am new to CFG’s, Can someone give me tips in creating CFG that generates some language For example $L ={ w v w^R mid v,win {a,b}^*wedge|v| text{ is even } }$, where $w^R$ is the reverse of string Read More …

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[Solved]: Approximation algorithm for Feedback Arc Set

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Given a directed graph $G = (V,A)$, a feedback arc set is a set of arcs whose removal leaves an acyclic graph. The problem is to find the minimum cardinality such set. I want to find out about is Read More …

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[Solved]: What is a malformed token?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I am reading Programming Language Pragmatics by Michael Scott. He says that on a first pass, a compiler will break a program into a series of tokens. He says that it will check for malformed tokens, like 123abc or Read More …

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[Solved]: Sum of all nodes from A to B in a Tree

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Given a Tree and pointers to two of it’s nodes A and B (a key value of each node is positive). Find an algorithm that sums up all the values on the path between A and B, when preproccessing Read More …

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[Solved]: Is it possible to create a “Time Capsule” using encryption?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I want to create a digital time capsule which will remain unreadable for some period of time and then become readable. I do not want to rely on any outside service to, for instance, keep the key secret and Read More …

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[Solved]: Where/when did Stephen Kleene first define the Kleene closure/star?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I’m working on a paper and would like to review the origins of Kleene’s closure. I am unable to find any article of Kleene’s that has the original definition of the Kleene closure. Is there a paper by Kleene Read More …

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[Solved]: Shortest path from starting cell to all cells in the grid

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I found an algorithm for finding the shortest path on grid between selected cell, to all cells on the grid, with $O(KN)$ where $K$ is the number of neighbor cells and $N$ is the number of cells. How ever Read More …

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