Archive for Mathematical Logic

Papers
(The TQCC of Archive for Mathematical Logic is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
The independence of $$\mathsf {GCH}$$ and a combinatorial principle related to Banach–Mazur games5
The Nikodym property and filters on $$\omega $$4
Bounded distributive lattices with strict implication and weak difference4
Degrees of relations on canonically ordered natural numbers and integers4
Implicit recursion-theoretic characterizations of counting classes4
On the non-measurability of $$\omega $$-categorical Hrushovski constructions4
Coanalytic ultrafilter bases3
Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse3
Pointwise complexity of the derivative of a computable function3
Representability and compactness for pseudopowers3
Degree structures of conjunctive reducibility3
The abstract type of the real numbers3
Hindman’s theorem for sums along the full binary tree, $$\Sigma ^0_2$$-induction and the Pigeonhole principle for trees3
Separablilty of metric measure spaces and choice axioms3
Superrosiness and dense pairs of geometric structures2
Rosenthal families, filters, and semifilters2
A topological completeness theorem for transfinite provability logic2
Games characterizing certain families of functions2
Free subsets in internally approachable models2
Correction to: Towers, mad families, and unboundedness2
A syntactic approach to Borel functions: some extensions of Louveau’s theorem2
Ideals with Smital properties2
A Mathias criterion for the Magidor iteration of Prikry forcings2
Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered2
Combinatory logic with polymorphic types2
A criterion for uniform finiteness in the imaginary sorts2
Stably embedded submodels of Henselian valued fields2
Cut elimination for coherent theories in negation normal form2
Independent families and some notions of finiteness1
Quantifier-free induction for lists1
Revisiting the conservativity of fixpoints over intuitionistic arithmetic1
Pathology of submeasures and $$F_{\sigma }$$ ideals1
Structure of semisimple rings in reverse and computable mathematics1
Condensable models of set theory1
A criterion for the strong cell decomposition property1
Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures1
Semi-honest subrecursive degrees and the collection rule in arithmetic1
An algebraic investigation of Linear Logic1
Tameness in generalized metric structures1
Generalization of Shapiro’s theorem to higher arities and noninjective notations1
Positive indiscernibles1
Glivenko–Cantelli classes and NIP formulas1
On computable numberings of families of Turing degrees1
Relativized Galois groups of first order theories over a hyperimaginary1
Big Ramsey degrees in universal inverse limit structures1
Equivalence of generics1
On ultrafilter extensions of first-order models and ultrafilter interpretations1
Infinite combinatorics revisited in the absence of Axiom of choice1
On well-splitting posets1
The structure of $$\kappa $$-maximal cofinitary groups1
Convergence of measures after adding a real1
On the consistency strength of critical leaps1
Intuitionistic sets and numbers: small set theory and Heyting arithmetic1
Herbrand complexity and the epsilon calculus with equality1
On extendability to $$F_\sigma $$ ideals1
Normalisation and subformula property for a system of classical logic with Tarski’s rule1
Small $$\mathfrak {u}(\kappa )$$ at singular $$\kappa $$ with compactness at $$\kappa ^{++}$$1
Factorizing the $$\mathbf {Top}$$–$$\mathbf {Loc}$$ adjunction through positive topologies1
Formalism and Hilbert’s understanding of consistency problems1
Cohesive powers of structures1
Definable connectedness of randomizations of groups1
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