Archive for Mathematical Logic

Papers
(The median citation count of Archive for Mathematical Logic is 0. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Correction: Symétrons et K-boucles $$\omega$$-stables6
The Nikodym property and filters on $$\omega $$6
Results in model theory for Riesz-valued structures5
Independent families and some notions of finiteness5
Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures5
The structure of $$\kappa $$-maximal cofinitary groups4
Relativized Galois groups of first order theories over a hyperimaginary4
Generalization of Shapiro’s theorem to higher arities and noninjective notations3
Approximate categoricity in continuous logic3
Algebraic semantics for weak subintuitionistic logic WF3
Variations on the Feferman-Vaught theorem, with applications to $$\prod _p \mathbb {F}_p$$3
Correction: Diagonalization as computation: Gödel sentence construction and a type-disciplined blueprint2
Nonvanishing derived limits without scales2
The algebra of ordinary discourse. On the semantics of Cooper’s logic2
Correction to: Generalization of Shapiro’s theorem to higher arities and noninjective notations2
Undecidability of indecomposable polynomial rings2
Limits on forcing axioms at $$\omega _2$$ compatible with the continuum hypothesis2
Around accumulation points and maximal sequences of indiscernibles2
Computable approximations of a chainable continuum with a computable endpoint2
Conjunctions of exponential diophantine equations over $${\mathbb {Q}}$$2
L-domains as locally continuous sequent calculi2
Restricted analytic valued fields with partial exponentiation2
Apartness and the elimination of strong forms of extensionality1
On sequential theorems in Reverse Mathematics1
Slender trees and the approximation property1
Computability of a whitney extension1
Separablilty of metric measure spaces and choice axioms1
Random structures and automorphisms with a single orbit1
Towards a homotopy domain theory1
Canonical reconstruction and forcing absoluteness of standard structures1
A characterization of strongly computable finite factorization domains1
Mathias and silver forcing parametrized by density1
Compositional truth with propositional tautologies and quantifier-free correctness1
Game-theoretic variants of splitting number1
Preservation properties for products and sums of metric structures1
Tameness in generalized metric structures1
On Hilbert’s “geometric” tenth problem for odd characteristic function fields1
Spectral MV-algebras and equispectrality1
The construction principle and non homogeneity of uncountable relatively free groups1
On two consequences of CH established by Sierpiński. II1
Free subsets in internally approachable models1
Turing degrees and randomness for continuous measures1
Bounded forcing axioms and weak genericity1
Siblings of direct sums of chains1
Pathology of submeasures and $$F_{\sigma }$$ ideals1
Bounded symbiosis and upwards reflection1
An algebraic investigation of Linear Logic1
$$sQ_1$$-degrees of computably enumerable sets1
On the non-measurability of $$\omega $$-categorical Hrushovski constructions1
Essential hereditary undecidability1
Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse1
Another method to add a closed unbounded set of former regulars1
On the topological dynamics of automorphism groups: a model-theoretic perspective0
Generic existence of interval P-points0
Small measurable cardinals0
Punctually presented structures II: comparing presentations0
A general approach to asymptotic elimination of aggregation functions and generalized quantifiers0
On the complexity of the theory of a computably presented metric structure0
The axiom of choice in metric measure spaces and maximal $$\delta $$-separated sets0
Fragments of IOpen0
The second-order version of Morley’s theorem on the number of countable models does not require large cardinals0
Recursive Polish spaces0
Errata: on the role of the continuum hypothesis in forcing principles for subcomplete forcing0
An AEC framework for fields with commuting automorphisms0
Questions on cardinal invariants of Boolean algebras0
On the $$\Sigma ^0_1$$-fragments of the Kreisel-Putnam axiom and two variants of the linearity axiom in intuitionistic arithmetic and analysis0
Constructivity conditions on immune sets0
Constructible structures and constructible open cores0
Countable homogeneous ordered bipartite graphs0
Superrosiness and dense pairs of geometric structures0
Dominating numbers at singular cardinals0
Homogeneity, P-like properties of ideals and orders between ideals0
On some $$\Sigma ^{B}_{0}$$-formulae generalizing counting principles over $$V^{0}$$0
Extending antichains in the poset $$\langle [\omega ]^{<\omega },\subseteq \rangle $$0
A topological completeness theorem for transfinite provability logic0
Structure of semisimple rings in reverse and computable mathematics0
Stably embedded submodels of Henselian valued fields0
Herbrand complexity and the epsilon calculus with equality0
Convergence of measures after adding a real0
On the consistency strength of critical leaps0
A criterion for the strong cell decomposition property0
Failure of cut-elimination in cyclic-proof systems of logic of bunched implications with inductive propositions0
Generalized cardinal invariants for an inaccessible $$\kappa $$ with compactness at $$\kappa ^{++}$$0
Diagonalization as computation: Gödel sentence construction and a type-disciplined blueprint0
Indiscernibles and satisfaction classes in arithmetic0
The extent of saturation of induced ideals0
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order0
The Josefson–Nissenzweig theorem and filters on $$\omega $$0
On forcing over $$L(\mathbb {R})$$0
Regressive versions of Hindman’s theorem0
On the non-existence of $$\kappa $$-mad families0
The provably total functions of basic arithmetic and its extensions0
Sets of real numbers closed under Turing equivalence: applications to fields, orders and automorphisms0
On algebraic sums, trees and ideals in the Baire space0
On two consequences of CH established by Sierpiński0
Katětov order between Hindman, Ramsey and summable ideals0
The Tarski–Lindenbaum algebra of the class of strongly constructivizable models with $$\omega $$-stable theories0
On some subtheories of strong dependent choice0
Different covering numbers of compact tree ideals0
On the theory of epistemic Łukasiewicz logic corresponding to the Chang algebra with application in Immune system0
Open filters and measurable cardinals0
The fixed point and the Craig interpolation properties for sublogics of $$\textbf{IL}$$0
Effective weak and vague convergence of measures on the real line0
On diagonal functions for equivalence relations0
Pcf without choice Sh8350
Relative model completeness of henselian valued fields with finite ramification and various value groups0
Square compactness and Lindelöf trees0
The additive structure of integers with the lower Wythoff sequence0
Categories and functors in reverse and computable mathematics0
On absorption’s formula definable semigroups of complete theories0
A further application of Stern absoluteness0
On countably closed mutually embeddable models0
Symétrons et K-boucles $$\omega $$-stables0
Degrees of relations on canonically ordered natural numbers and integers0
Borel complexity of families of finite equivalence relations via large cardinals0
Games characterizing certain families of functions0
Cut elimination for coherent theories in negation normal form0
There may be exactly n Q-points0
Revisiting the conservativity of fixpoints over intuitionistic arithmetic0
Big Ramsey degrees in universal inverse limit structures0
Glivenko–Cantelli classes and NIP formulas0
Infinite combinatorics revisited in the absence of Axiom of choice0
On computable numberings of families of Turing degrees0
Generalized Tukey reducibility between $$\sigma $$-directed sets0
Ranks based on strong amalgamation Fraïssé classes0
Vector spaces with a union of independent subspaces0
On undecidability of the propositional logic of an associative binary modality0
The Fan Theorem, its strong negation, and the determinacy of games0
Bachmann–Howard derivatives0
Semi-honest subrecursive degrees and the collection rule in arithmetic0
On Harrop disjunction property in intermediate predicate logics0
On the rigidity of Souslin trees and their generic branches0
Logical complexity of reducts of elementary algebraic classes0
On categoricity of scattered linear orders of constructive ranks0
Definable Tietze extension property in o-minimal expansions of ordered groups0
Glivenko sequent classes and constructive cut elimination in geometric logics0
Reinhardt cardinals and eventually dominating functions0
Towers, mad families, and unboundedness0
On ultrafilters in ZF models and indecomposable ultrafilters0
Herbrandized modified realizability0
Wellfoundedness proof with the maximal distinguished set0
Binary choice games and arithmetical comprehension0
Ordered abelian groups that do not have elimination of imaginaries0
Axiomatizing modal inclusion logic and its variants0
Some implications of Ramsey Choice for families of $$\varvec{n}$$-element sets0
Indestructibility and the linearity of the Mitchell ordering0
Correspondence of Contradictions in the Constructive Connexive Calculus C0
On the extendability to $$\mathbf {\Pi }_3^0$$ ideals and Katětov order0
Varieties of truth definitions0
Definability in affine logic0
Reflection ranks via infinitary derivations0
On the hierarchy of linearity axioms0
A syntactic approach to Borel functions: some extensions of Louveau’s theorem0
Involutive symmetric Gödel spaces, their algebraic duals and logic0
A Mathias criterion for the Magidor iteration of Prikry forcings0
The SB-property on metric structures0
Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered0
Correction to: Towers, mad families, and unboundedness0
Positive indiscernibles0
Ideals with Smital properties0
Quantifier-free induction for lists0
A closed subset of Baire space not Medvedev equivalent to any closed set of Cantor space0
Intuitionistic sets and numbers: small set theory and Heyting arithmetic0
Cohesive powers of structures0
Monotonicity of the ultrafilter number function0
Around the Eggleston Theorem0
On the hausdorff dimension of maximal chains and antichains of turing and hyperarithmetic degrees0
Cut elimination by unthreading0
The small index property for countable superatomic boolean algebras0
Herbrand schemes for first-order logic0
The externally definable Ramsey property and fixed points on type spaces0
Weak essentially undecidable theories of concatenation, part II0
The adjacent Hindman’s Theorem and the $$\mathbb Z$$-Ramsey’s Theorem0
Bounded distributive lattices with strict implication and weak difference0
Consistency and interpolation in linear continuous logic0
Characterization of subdirectly irreducible heyting algebras with negative tense operators0
Prenex normalization and the hierarchical classification of formulas0
What would the rational Urysohn space and the random graph look like if they were uncountable?0
Cardinal invariants associated with Hausdorff measures0
0.15688300132751