Формальные системы рассуждений, истина и доказуемость, основы вычислимости и разрешимости задач.


68 публикаций

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Definability via the tilting correspondence
The geometrisation problem for topological groups
Coarse Structures on Homogeneous Spaces
Some model-theoretic consequences of high-arity uniform convergence, part I
Constant time testability of first-order logic with modulo counting on finitary graphs
Almost Disjointness Principles and $Q$-Space Cardinals
Modal group theory
Model-theoretic Tameness in finite extensions of groups
Nonembeddings of Combinatory Algebras
An $\ell^2$ Obstruction for Elementary Embeddings of Hyperbolic Groups
Generic bundles over a localic category
On the Limits of Recursive Characterizations in the Refined $A$-Translation
Аналитические и синтетические суждения и Математическая логика
Бертран Рассел и наука в Китае в 20-х годах ХХ в.
On skew ultralimits and their applications in ultrafilter theory
Algebraic characterisation of pseudo-elementary and second-order classes
Ultrapowers of spectral subspaces
Duality theory for categorical theories
Higher-arity distality and forking triviality
Geometric fields, ranks, and generic derivations
The modal theory of linear orders
Listing the hyperarithmetical functions
Revisiting $\mathfrak b$ and $\mathfrak d$ through Interval Structures
Structural Infinite-Exponent Partition Relations and Weak Choice Principles
The Gamified Katětov order is not linear (in fact, very much not so)
A Foundation for the Core Mathematician
Localic Relations with Open Cones
Computable Scott Sentences and the Friedman-Stanley embedding
Beyond Ability: The Four-Fold Spectrum of Power and the Logic of Full Inability
A curve and its abstract generalized Jacobian
On the Intermediate Models of Strongly Compact Prikry Forcing
A Short Nonstandard Proof of the Radon-Nikodym Theorem
Topology and category for singular product spaces
Remarks on Primitive Regulation
On antichain numbers and the splitting ideal
A proof system for the positive fragment of GL
Trace definability IV: higher arity notions
On p-Lie algebras of finite Morley rank
A foundational characterization of Hoare Logic
Geometric duality, perfect graphs, and the Sierpiński space
What can Topology tell us about Logical Complexity?
A locally countable graph of second projective class not generated by countably many projective functions
Free sets, thin sets and rainbows for barriers
Solvability of the radical in pseudo-finite groups with the DCC on centralizers up to finite index
A Topological Rainbow Ramsey Theorem
Modular constructive Lyndon interpolation for nondistributive logics
Inception Display Calculi
Combinatorics of Schur ultrafilters
Avoiding logical strength in real analysis
Modal group theory: homomorphisms
Axiomatizing logics of finite Gödel-Kripke models
Remarks on generic stability and random types
Computability Limits of Sequential Hypothesis Testing
More on expressibility of satisfiability in submodels and extensions
$K$-holomorphic functions with definable real part
A Computably Enumerable $tt$-Degree Without Computably Enumerable Irreducible $m$-Degrees
Proof Theory for Bimodal Provability Logics
A completion of reduced commutative rings
Notes on Lie derivatives, algebraic D-varieties, and Ax's theorem
Model theory and Connes' bicentralizer problem
Every Feedforward Neural Network Definable in an o-Minimal Structure Has Finite Sample Complexity
Relating the Computational and Logical Difficulty of Solving ODEs: From Polynomial to Discontinuous Right-Hand Sides
Bourbaki--Zorn Normal Forms for Maximality Arguments
Bounded depth in Hilbert algebras
МАТЕМАТИЧЕСКАЯ ЛОГИКА И ЕЁ ЗНАЧЕНИЕ ДЛЯ ТЕОРИИ АЛГОРИТМОВ И КОМПЬЮТЕРНЫХ НАУК
РОЛЬ МАТЕМАТИЧЕСКОЙ ЛОГИКИ В ИНФОРМАТИКЕ: ФОРМАЛИЗАЦИЯ, ДОКАЗАТЕЛЬСТВА И ПРОГРАММИРОВАНИЕ
ЛОГИКО-МАТЕМАТИЧЕСКИЕ ПРИНЦИПЫ СРАВНИТЕЛЬНОГО АНАЛИЗА ОБЪЕКТОВ
ПРИМЕНЕНИЕ МАТЕМАТИЧЕСКОЙ ЛОГИКИ В ТЕХНИКЕ И СТРОИТЕЛЬСТВЕ: ОТЕЧЕСТВЕННЫЙ ОПЫТ XX ВЕКА