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Mathematical Logic and Its Applications 2020

by Vassily Lyubetsky, Vladimir Kanovei

Mathematical Logic and Its Applications 2020

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Book Description

The issue "Mathematical Logic and Its Applications 2020" contains articles related to the following three directions:

I. Descriptive Set Theory (3 articles). Solutions for long-standing problems, including those of A. Tarski and H. Friedman, are presented.

II. Exact combinatorial optimization algorithms, in which the complexity relative to the source data is characterized by a low, or even first degree, polynomial (1 article).

III. Applications of mathematical logic and the theory of algorithms (2 articles). The first article deals with the Jacobian and M. Kontsevich's conjectures, and algorithmic undecidability; for these purposes, non-standard analysis is used. The second article provides a quantitative description of the balance and adaptive resource of a human.

This open book is licensed under a Creative Commons License (CC BY-NC-ND). You can download Mathematical Logic and Its Applications 2020 ebook for free in PDF format (9.7 MB).

Table of Contents

Chapter 1
Models of Set Theory in which NonconstructibleReals First Appear at a Given Projective Level
Chapter 2
On the Δ 1 n Problem of Harvey Friedman
Chapter 3
On the 'Definability of Definable'Problem of Alfred Tarski
Chapter 4
Linear Time Additively Exact Algorithm for Transformation of Chain-Cycle Graphs for Arbitrary Costs of Deletions and Insertions
Chapter 5
Nonstandard Analysis, Deformation Quantization and Some Logical Aspects of (Non) Commutative Algebraic Geometry
Chapter 6
Physiological Balance of the Body: Theory, Algorithms, and Results

Book Details

Mathematical Logic and Its Applications 2020
Science and Mathematics
ISBN13 Digital
ISBN10 Digital
PDF Size
9.7 MB

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