TY - GEN AU - Lyubetsky,Vassily AU - Kanovei,Vladimir AU - Lyubetsky,Vassily AU - Kanovei,Vladimir TI - Mathematical Logic and Its Applications 2020 SN - books978-3-0365-0779-8 PY - 2021/// CY - Basel, Switzerland PB - MDPI - Multidisciplinary Digital Publishing Institute KW - Research & information: general KW - bicssc KW - Mathematics & science KW - definability KW - nonconstructible reals KW - projective hierarchy KW - generic models KW - almost disjoint forcing KW - Harvey Friedman's problem KW - almost-disjoint forcing KW - universal algebraic geometry KW - affine algebraic geometry KW - elementary equivalence KW - isotypic algebras KW - first order rigidity KW - Ind-group KW - affine spaces KW - automorphisms KW - free associative algebras KW - Weyl algebra automorphisms KW - polynomial symplectomorphisms KW - deformation quantization KW - infinite prime number KW - semi-inner automorphism KW - embeddability of varieties KW - undecidability KW - noncommutative Gröbner-Shirshov basis KW - finitely presented algebraic systems KW - algorithmic unsolvability KW - turing machine KW - discrete optimization KW - exact algorithm KW - additively exact algorithm KW - graph transformation KW - graph of degree 2 KW - chain-cycle graph KW - operation cost KW - minimization of total cost KW - definability of definable KW - tarski problem KW - type theoretic hierarchy KW - adaptive resource KW - resilience KW - resistance KW - tipping point KW - theory of catastrophes N1 - Open Access N2 - 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" UR - https://mdpi.com/books/pdfview/book/3987 UR - https://directory.doabooks.org/handle/20.500.12854/76541 ER -