Mathematical Logic and Its Applications 2020

The issue "Mathematical Logic and Its Applications 2020" contains articles related to the following three directions: Descriptive Set Theory (3 articles). Solutions for long-standing problems, including those of A. Tarski and H. Friedman, are presented. Exact combinatorial optimization alg...

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Other Authors: Lyubetsky, Vassily (Editor), Kanovei, Vladimir (Editor)
Format: Electronic Book Chapter
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
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520 |a The issue "Mathematical Logic and Its Applications 2020" contains articles related to the following three directions: Descriptive Set Theory (3 articles). Solutions for long-standing problems, including those of A. Tarski and H. Friedman, are presented. 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. Submissions are invited for the next issue "Mathematical Logic and Its Applications 2021" 
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650 7 |a Mathematics & science  |2 bicssc 
653 |a definability 
653 |a nonconstructible reals 
653 |a projective hierarchy 
653 |a generic models 
653 |a almost disjoint forcing 
653 |a Harvey Friedman's problem 
653 |a almost-disjoint forcing 
653 |a universal algebraic geometry 
653 |a affine algebraic geometry 
653 |a elementary equivalence 
653 |a isotypic algebras 
653 |a first order rigidity 
653 |a Ind-group 
653 |a affine spaces 
653 |a automorphisms 
653 |a free associative algebras 
653 |a Weyl algebra automorphisms 
653 |a polynomial symplectomorphisms 
653 |a deformation quantization 
653 |a infinite prime number 
653 |a semi-inner automorphism 
653 |a embeddability of varieties 
653 |a undecidability 
653 |a noncommutative Gröbner-Shirshov basis 
653 |a finitely presented algebraic systems 
653 |a algorithmic unsolvability 
653 |a turing machine 
653 |a discrete optimization 
653 |a exact algorithm 
653 |a additively exact algorithm 
653 |a graph transformation 
653 |a graph of degree 2 
653 |a chain-cycle graph 
653 |a operation cost 
653 |a minimization of total cost 
653 |a definability of definable 
653 |a tarski problem 
653 |a type theoretic hierarchy 
653 |a adaptive resource 
653 |a resilience 
653 |a resistance 
653 |a tipping point 
653 |a theory of catastrophes 
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