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Author: ignougroup

[Solved]: How does a computer play a video while doing something else?

February 8, 2017March 27, 2017 ignougroup

Problem Detail: How is video playback done on a computer? It’s obviously not relying purely on the CPU, since video playback continues when a user performs another activity, such as typing into a YouTube comment field. This task seems further complicated Read More …

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[Solved]: Prove correctness of recursive algorithm

February 8, 2017March 27, 2017 ignougroup

Problem Detail: I have this java function: public int foo(ArrayList l, int n) { if(n <= 1) return l.get(0); if(l.get(0) < l.get(1)) l.remove(1); else l.remove(0); foo(l, n-1); } So I figure to show that the algorithm is correct I would use Read More …

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[Solved]: Finding maximal factorization of regular languages

February 8, 2017March 27, 2017 ignougroup

Problem Detail: Let language $mathcal{L} subseteq Sigma^*$ be regular. A factorization of $mathcal{L}$ is a maximal pair $(X,Y)$ of sets of words with $X cdot Y subseteq mathcal{L}$ $X neq emptyset neq Y$, where $X cdot Y = {xy$ | $x Read More …

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[Solved]: Is lambda calculus suitable for expressing semantics of non-functional languages?

February 8, 2017March 27, 2017 ignougroup

Problem Detail: Would it be convenient to express semantics of imperative languages (e.g. C) and object-oriented languages (e.g. Java) with $lambda$-calculus? Or in the other words: is $lambda$-calculus a suitable candidate for expressing semantics of all context-sensitive languages? Asked By : Petr Read More …

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[Solved]: Simulating a TM with a 2-head, right moving TM

February 8, 2017March 27, 2017 ignougroup

Problem Detail: Is it possible to simulate a regular Turing Machine with a TM with the following specs? There are two heads, one of which can read, one of which can write Both heads can only move right When a head Read More …

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[Solved]: proving $P subseteq PCP(0,O(log(n))$

February 8, 2017March 27, 2017 ignougroup

Problem Detail: I was working on proving this one and I’ve solve one direction as follows : to prove that $P subseteq PCP(0,logn)$ I said : let $M$ be deterministic polynomial TM that accepts $L in P$ ,we want to show Read More …

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[Solved]: Difference between the languages accepted by two DFAs with different initial state/accepting states?

February 8, 2017March 27, 2017 ignougroup

Problem Detail: Recently, I asked a question on Math SE. No response yet. This question is related to that question, but more technical details toward computer science. Given two DFAs $A = (Q, Sigma, delta, q_1, F_1)$ and $B = (Q, Read More …

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[Solved]: Which part of the computer allocates memory in RAM?

February 8, 2017March 27, 2017 ignougroup

Problem Detail: When we declare a variable there will be a random part of memory will be allocated in RAM. Which component will allocate the memory? Is the processor or any other specific hardware doing the allocation? Asked By : sivashanmugam kannan Read More …

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[Solved]: How a program is copied to RAM from harddisk

February 8, 2017March 27, 2017 ignougroup

Problem Detail: I know that for executing a program, it should be copied to RAM. But the problem is whole of it may not be copied always. Since the size of the RAM is limited, there is mechanism called virtual memory. Read More …

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[Solved]: Which CNF boolean formulas blow up exponentially at conversion to DNF?

February 8, 2017March 27, 2017 ignougroup

Problem Detail: If I’m correct, some boolean formulas in CNF require exponential size when being converted to an equivalent DNF version (and vice versa). But what is an example of such a formula (and is there a general way to capture Read More …

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