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Author: ignougroup

[Solved]: Examples of algorithms that have runtime O(N + M) resp O(NM)

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I’m looking for examples of loops that have running time $O(nm)$, $O(n+m)$ and $O(nlog m)$ to help me understand these concepts. Could anybody give some examples and explain why they have the given running time? Asked By : om471987 Answered Read More …

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[Solved]: Number of different output labels in Local Binary Pattern

January 31, 2017 ignougroup

Problem Detail: I’m studying about Local Binary Pattern and I’m having trouble understanding the following part about the number of output labels for binary patterns from Computer Vision using Local Binary Patterns, by Pietikäinen et al. (2011): Another extension to the Read More …

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[Solved]: Is there a typed SKI calculus?

January 31, 2017 ignougroup

Problem Detail: Most of us know the correspondence between combinatory logic and lambda calculus. But I’ve never seen (maybe I haven’t looked deep enough) the equivalent of “typed combinators”, corresponding to the simply typed lambda calculus. Does such thing exist? Where Read More …

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[Solved]: Reduction to complement of Accept Problem

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I am reducing a given Turing Machine to the complement of the known undecidable problem, $$ Complement(A_{TM}) = { langle M,w rangle mid M text{ is TM}, w notin L(M) }$$ To this Turing Machine, known as SPARSE TM: Read More …

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[Solved]: Problems Implementing Closures in Non-functional Settings

January 31, 2017March 27, 2017 ignougroup

Problem Detail: In programming languages, closures are a popular and often desired feature. Wikipedia says (emphasis mine): In computer science, a closure (…) is a function together with a referencing environment for the non-local variables of that function. A closure allows Read More …

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[Solved]: LALR(1) parsers and the epsilon transition

January 31, 2017March 27, 2017 ignougroup

Problem Detail: I am having trouble getting my head wrapped around epsilon transitions while creating an LALR(1) parse table. Here’s a grammar that recognizes any number of ‘a’ followed by a ‘b’. ‘S’ is an artificial start state. ‘$’ is an Read More …

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[Solved]: Unambiguity of Reverse Polish Notation

January 31, 2017March 27, 2017 ignougroup

Problem Detail: Lets say I have given following grammar which generates arithmetic expressions in reverse polish notation: $G=({E},{a,+,*},P,E)$ $P={ E rightarrow EE+ | EE* | a }$ I know this grammar is unambiguous. What I do not understand is how I Read More …

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[Solved]: Reduce variant of Vertex Cover to original decision-version Vertex cover problem

January 31, 2017March 27, 2017 ignougroup

Problem Detail: Consider the following variation (let us call it Q) on the Vertex Cover problem: Given a Graph G and a number K, we are asked if there is a k-cover of G so that it is the minimum cover. Read More …

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[Solved]: Turing machine with repeated strings

January 31, 2017March 27, 2017 ignougroup

Problem Detail: How would I go about making a Turing machine to accept the following language L? $$L = { www mid w = {0,1}^* text{ and } w > 0}$$ I was thinking counting the number of symbols in the Read More …

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[Solved]: Finding undirected cycles in linear time (triangulating graphs while minimizing degree)

January 31, 2017March 27, 2017 ignougroup

Problem Detail: In the article [“Triangulating Planar Graphs While Minimizing the Maximum Degree”] by Kant and Bodlaender [1], Section 4 briefly mentions the extraction of elementary cycles (no repeating edges) from what I assume is an undirected graph $H$. It has the following Read More …

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