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 2021-12-01 to 2025-12-01.)
ArticleCitations
The Nikodym property and filters on $$\omega $$5
Implicit recursion-theoretic characterizations of counting classes5
Results in model theory for Riesz-valued structures5
Generalization of Shapiro’s theorem to higher arities and noninjective notations4
Correction: Symétrons et K-boucles $$\omega$$-stables4
Independent families and some notions of finiteness4
Algebraic semantics for weak subintuitionistic logic WF3
Variations on the Feferman-Vaught theorem, with applications to $$\prod _p \mathbb {F}_p$$3
The structure of $$\kappa $$-maximal cofinitary groups3
Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures3
Equivalence of generics3
Relativized Galois groups of first order theories over a hyperimaginary3
Filter pairs and natural extensions of logics3
Approximate categoricity in continuous logic2
Undecidability of indecomposable polynomial rings2
Reverse mathematics and semisimple rings2
Complexity of $$\Sigma ^0_n$$-classifications for definable subsets2
Disjunctive logic programs, answer sets, and the cut rule2
Conjunctions of exponential diophantine equations over $${\mathbb {Q}}$$2
Correction to: Generalization of Shapiro’s theorem to higher arities and noninjective notations2
The algebra of ordinary discourse. On the semantics of Cooper’s logic2
Antichains of copies of ultrahomogeneous structures2
Nonvanishing derived limits without scales2
Computable approximations of a chainable continuum with a computable endpoint2
On the isomorphism problem for some classes of computable algebraic structures2
Random structures and automorphisms with a single orbit1
Preservation properties for products and sums of metric structures1
Mathias and silver forcing parametrized by density1
Bounded forcing axioms and weak genericity1
An alternative proof of the Hilbert-style axiomatization for the $$\{\wedge ,\vee \}$$-fragment of classical propositional logic1
On sequential theorems in Reverse Mathematics1
Spectral MV-algebras and equispectrality1
An algebraic investigation of Linear Logic1
Positive logics1
Involutive Uninorm Logic with Fixed Point enjoys finite strong standard completeness1
L-domains as locally continuous sequent calculi1
Slender trees and the approximation property1
Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse1
Tameness in generalized metric structures1
Siblings of direct sums of chains1
Compositional truth with propositional tautologies and quantifier-free correctness1
The construction principle and non homogeneity of uncountable relatively free groups1
Pathology of submeasures and $$F_{\sigma }$$ ideals1
Separablilty of metric measure spaces and choice axioms1
Around accumulation points and maximal sequences of indiscernibles1
On Hilbert’s “geometric” tenth problem for odd characteristic function fields1
Bounded symbiosis and upwards reflection1
Towards a homotopy domain theory1
A characterization of strongly computable finite factorization domains1
Apartness and the elimination of strong forms of extensionality1
Turing degrees and randomness for continuous measures1
Essential hereditary undecidability1
On two consequences of CH established by Sierpiński. II1
On the non-measurability of $$\omega $$-categorical Hrushovski constructions1
$$sQ_1$$-degrees of computably enumerable sets1
Restricted analytic valued fields with partial exponentiation1
Computable scott sentences for quasi–Hopfian finitely presented structures1
Convergence of measures after adding a real0
Glivenko–Cantelli classes and NIP formulas0
Failure of cut-elimination in cyclic-proof systems of logic of bunched implications with inductive propositions0
On the hausdorff dimension of maximal chains and antichains of turing and hyperarithmetic degrees0
Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities0
The SB-property on metric structures0
Indiscernibles and satisfaction classes in arithmetic0
On undecidability of the propositional logic of an associative binary modality0
Vector spaces with a union of independent subspaces0
Consistency and interpolation in linear continuous logic0
The existence of states based on Glivenko semihoops0
On diagonal functions for equivalence relations0
Herbrand schemes for first-order logic0
Glivenko sequent classes and constructive cut elimination in geometric logics0
On the topological dynamics of automorphism groups: a model-theoretic perspective0
Dividing lines in unstable theories and subclasses of Baire 1 functions0
Definable Tietze extension property in o-minimal expansions of ordered groups0
A general approach to asymptotic elimination of aggregation functions and generalized quantifiers0
Herbrandized modified realizability0
Wellfoundedness proof with the maximal distinguished set0
$$\Delta ^0_1$$ variants of the law of excluded middle and related principles0
On two consequences of CH established by Sierpiński0
Towers, mad families, and unboundedness0
The second-order version of Morley’s theorem on the number of countable models does not require large cardinals0
Ideals with Smital properties0
Ordered abelian groups that do not have elimination of imaginaries0
The extent of saturation of induced ideals0
Axiomatizing modal inclusion logic and its variants0
Questions on cardinal invariants of Boolean algebras0
The fixed point and the Craig interpolation properties for sublogics of $$\textbf{IL}$$0
The externally definable Ramsey property and fixed points on type spaces0
An infinitary propositional probability logic0
On absorption’s formula definable semigroups of complete theories0
On Harrop disjunction property in intermediate predicate logics0
On the hierarchy of linearity axioms0
Definability in affine logic0
Hindman’s theorem for sums along the full binary tree, $$\Sigma ^0_2$$-induction and the Pigeonhole principle for trees0
Countable homogeneous ordered bipartite graphs0
Positive indiscernibles0
A Mathias criterion for the Magidor iteration of Prikry forcings0
Quantifier-free induction for lists0
Semi-honest subrecursive degrees and the collection rule in arithmetic0
On well-splitting posets0
Intuitionistic sets and numbers: small set theory and Heyting arithmetic0
On computable numberings of families of Turing degrees0
Cohesive powers of structures0
Ranks based on strong amalgamation Fraïssé classes0
Type space functors and interpretations in positive logic0
Revisiting the conservativity of fixpoints over intuitionistic arithmetic0
The Fan Theorem, its strong negation, and the determinacy of games0
Bachmann–Howard derivatives0
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order0
Varieties of truth definitions0
Reflection ranks via infinitary derivations0
On the rigidity of Souslin trees and their generic branches0
On the non-existence of $$\kappa $$-mad families0
Generic existence of interval P-points0
Cardinal invariants associated with Hausdorff measures0
The Tarski–Lindenbaum algebra of the class of strongly constructivizable models with $$\omega $$-stable theories0
A few more dissimilarities between second-order arithmetic and set theory0
What would the rational Urysohn space and the random graph look like if they were uncountable?0
Open filters and measurable cardinals0
On decidability of amenability in computable groups0
Weak essentially undecidable theories of concatenation0
On some $$\Sigma ^{B}_{0}$$-formulae generalizing counting principles over $$V^{0}$$0
Destructibility and axiomatizability of Kaufmann models0
Enhancing induction in a contraction free logic with unrestricted abstraction: from $$\mathbf {Z}$$ to $$\mathbf {Z}_2$$0
Pcf without choice Sh8350
Stably embedded submodels of Henselian valued fields0
Constructivity conditions on immune sets0
The small index property for countable superatomic boolean algebras0
Punctually presented structures II: comparing presentations0
An ordinal-connection axiom as a weak form of global choice under the GCH0
Iterated multiplication in $$ VTC ^0$$0
An AEC framework for fields with commuting automorphisms0
The axiom of choice in metric measure spaces and maximal $$\delta $$-separated sets0
Errata: on the role of the continuum hypothesis in forcing principles for subcomplete forcing0
On the complexity of the theory of a computably presented metric structure0
On categoricity of scattered linear orders of constructive ranks0
Extending antichains in the poset $$\langle [\omega ]^{<\omega },\subseteq \rangle $$0
Bounded distributive lattices with strict implication and weak difference0
Correction to: Towers, mad families, and unboundedness0
Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered0
Superrosiness and dense pairs of geometric structures0
On extendability to $$F_\sigma $$ ideals0
Structure of semisimple rings in reverse and computable mathematics0
A closed subset of Baire space not Medvedev equivalent to any closed set of Cantor space0
On countably closed mutually embeddable models0
Infinite combinatorics revisited in the absence of Axiom of choice0
On the consistency strength of critical leaps0
Regressive versions of Hindman’s theorem0
A criterion for the strong cell decomposition property0
Cut elimination by unthreading0
Mutual algebraicity and cellularity0
Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces0
The Josefson–Nissenzweig theorem and filters on $$\omega $$0
Weak essentially undecidable theories of concatenation, part II0
Games characterizing certain families of functions0
The provably total functions of basic arithmetic and its extensions0
Sets of real numbers closed under Turing equivalence: applications to fields, orders and automorphisms0
Involutive symmetric Gödel spaces, their algebraic duals and logic0
Square compactness and Lindelöf trees0
Recursive Polish spaces0
Katětov order between Hindman, Ramsey and summable ideals0
On forcing over $$L(\mathbb {R})$$0
Symétrons et K-boucles $$\omega $$-stables0
On ultrafilters in ZF models and indecomposable ultrafilters0
Some implications of Ramsey Choice for families of $$\varvec{n}$$-element sets0
The additive structure of integers with the lower Wythoff sequence0
Cut elimination for coherent theories in negation normal form0
Different covering numbers of compact tree ideals0
Generalized cardinal invariants for an inaccessible $$\kappa $$ with compactness at $$\kappa ^{++}$$0
Effective weak and vague convergence of measures on the real line0
On the extendability to $$\mathbf {\Pi }_3^0$$ ideals and Katětov order0
Indestructibility and the linearity of the Mitchell ordering0
On algebraic sums, trees and ideals in the Baire space0
On the theory of epistemic Łukasiewicz logic corresponding to the Chang algebra with application in Immune system0
Second order arithmetic as the model companion of set theory0
Prenex normalization and the hierarchical classification of formulas0
Fragments of IOpen0
Categories and functors in reverse and computable mathematics0
A syntactic approach to Borel functions: some extensions of Louveau’s theorem0
Constructible structures and constructible open cores0
Free subsets in internally approachable models0
Homogeneity, P-like properties of ideals and orders between ideals0
A topological completeness theorem for transfinite provability logic0
Degrees of relations on canonically ordered natural numbers and integers0
Around the Eggleston Theorem0
Herbrand complexity and the epsilon calculus with equality0
Big Ramsey degrees in universal inverse limit structures0
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