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Introduction: the article describes the application of fuzzy logic in the teaching of mathematics. This theory has a great creative ability to solve various pedagogical tasks for the implementation of the developing and applied functions of school ...
Mikhail A. Rodionov +2 more
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Stable gonality is computable [PDF]
Stable gonality is a multigraph parameter that measures the complexity of a graph. It is defined using maps to trees. Those maps, in some sense, divide the edges equally over the edges of the tree; stable gonality asks for the map with the minimum number
Ragnar Groot Koerkamp +1 more
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In memoriam of Yurii Rogozhin [PDF]
November 13, 2019 would be the 70th birthday of Prof. Yurii Rogozhin. Dr. hab.~Yurii Rogozhin (November 13, 1949 $\dagger$ March 10, 2014) was a worldwide known computer scientist with diverse interests, ranged from finding small universal Turing ...
The staff of the Vladimir Andrunachievici Institute of Mathematics and Computer Science
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Some aspects of the process of mathematical modeling and computational experiment are considered. The modeling process is considered as a method of predicting the behavior of dynamic systems and processes, which allows implementing a chain from a full ...
Sergey Strebulyaev, Daria Sirotkina
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On p/q-recognisable sets [PDF]
Let p/q be a rational number. Numeration in base p/q is defined by a function that evaluates each finite word over A_p={0,1,...,p-1} to some rational number. We let N_p/q denote the image of this evaluation function.
Victor Marsault
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An Alternate Proof of Near-Optimal Light Spanners [PDF]
In 2016, a breakthrough result of Chechik and Wulff-Nilsen [SODA '16] established that every $n$-node graph $G$ has a $(1+\varepsilon)(2k-1)$-spanner of lightness $O_{\varepsilon}(n^{1/k})$, and recent followup work by Le and Solomon [STOC '23 ...
Greg Bodwin
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Strategy Complexity of Point Payoff, Mean Payoff and Total Payoff Objectives in Countable MDPs [PDF]
We study countably infinite Markov decision processes (MDPs) with real-valued transition rewards. Every infinite run induces the following sequences of payoffs: 1. Point payoff (the sequence of directly seen transition rewards), 2.
Richard Mayr, Eric Munday
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The requirements for the training of mathematics and computer science teachers to use specialized mathematical software in professional activities are substantiated in the article.
Olena Semenikhina +2 more
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Permissive Controller Synthesis for Probabilistic Systems [PDF]
We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty arising due to ...
Klaus Drager +4 more
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Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis [PDF]
We introduce a new domain for finding precise numerical invariants of programs by abstract interpretation. This domain, which consists of level sets of non-linear functions, generalizes the domain of linear "templates" introduced by Manna ...
Assalé Adjé +2 more
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