**by Vassily Lyubetsky, Vladimir Kanovei**

DescriptionTable of ContentsDetailsHashtagsReport an issue ### 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. ### Table of Contents

### Book Details

### Related Books

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).

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

Title

Mathematical Logic and Its Applications 2020

Subject

Science and Mathematics

Publisher

MDPI

Published

2021

Pages

198

Edition

1

Language

English

ISBN13

9783036507781

ISBN10

3036507787

ISBN13 Digital

9783036507798

ISBN10 Digital

3036507795

PDF Size

9.7 MB

License

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