Automated System for Teaching Computational Complexity of Algorithms Course

This article describes problems of designing automated teaching system for “Computational complexity of algorithms” course. This system should provide students with means to familiarize themselves with complex mathematical apparatus and improve their mathematical thinking in the respective area. The...

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Vydáno v:Modelirovanie i analiz informacionnyh sistem Ročník 24; číslo 4; s. 481 - 495
Hlavní autoři: Roublev, Vadim S., Yusufov, Murad T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Yaroslavl State University 01.08.2017
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ISSN:1818-1015, 2313-5417
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Abstract This article describes problems of designing automated teaching system for “Computational complexity of algorithms” course. This system should provide students with means to familiarize themselves with complex mathematical apparatus and improve their mathematical thinking in the respective area. The article introduces the technique of algorithms symbol scroll table that allows estimating lower and upper bounds of computational complexity. Further, we introduce a set of theorems that facilitate the analysis in cases when the integer rounding of algorithm parameters is involved and when analyzing the complexity of a sum. At the end, the article introduces a normal system of symbol transformations that allows one both to perform any symbol transformations and simplifies the automated validation of such transformations. The article is published in the authors’ wording.
AbstractList This article describes problems of designing automated teaching system for “Computational complexity of algorithms” course. This system should provide students with means to familiarize themselves with complex mathematical apparatus and improve their mathematical thinking in the respective area. The article introduces the technique of algorithms symbol scroll table that allows estimating lower and upper bounds of computational complexity. Further, we introduce a set of theorems that facilitate the analysis in cases when the integer rounding of algorithm parameters is involved and when analyzing the complexity of a sum. At the end, the article introduces a normal system of symbol transformations that allows one both to perform any symbol transformations and simplifies the automated validation of such transformations. The article is published in the authors’ wording.
Author Yusufov, Murad T.
Roublev, Vadim S.
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StartPage 481
SubjectTerms algorithm complexity analysis
algorithm’s symbol scroll table
automated learning
normal system of symbol transformations
Title Automated System for Teaching Computational Complexity of Algorithms Course
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