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 2022-05-01 to 2026-05-01.)
ArticleCitations
Implicit recursion-theoretic characterizations of counting classes6
The structure of $$\kappa $$-maximal cofinitary groups5
Results in model theory for Riesz-valued structures5
Independent families and some notions of finiteness5
The Nikodym property and filters on $$\omega $$5
Correction: Symétrons et K-boucles $$\omega$$-stables5
Generalization of Shapiro’s theorem to higher arities and noninjective notations3
Approximate categoricity in continuous logic3
Relativized Galois groups of first order theories over a hyperimaginary3
Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures3
Filter pairs and natural extensions of logics3
Algebraic semantics for weak subintuitionistic logic WF3
Variations on the Feferman-Vaught theorem, with applications to $$\prod _p \mathbb {F}_p$$3
Computable scott sentences for quasi–Hopfian finitely presented structures2
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
Nonvanishing derived limits without scales2
Limits on forcing axioms at $$\omega _2$$ compatible with the continuum hypothesis2
Around accumulation points and maximal sequences of indiscernibles2
Undecidability of indecomposable polynomial rings2
Computable approximations of a chainable continuum with a computable endpoint2
L-domains as locally continuous sequent calculi2
On Hilbert’s “geometric” tenth problem for odd characteristic function fields2
Conjunctions of exponential diophantine equations over $${\mathbb {Q}}$$2
Complexity of $$\Sigma ^0_n$$-classifications for definable subsets2
Bounded symbiosis and upwards reflection1
$$sQ_1$$-degrees of computably enumerable sets1
Involutive Uninorm Logic with Fixed Point enjoys finite strong standard completeness1
Preservation properties for products and sums of metric structures1
Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse1
Compositional truth with propositional tautologies and quantifier-free correctness1
Bounded forcing axioms and weak genericity1
Essential hereditary undecidability1
Tameness in generalized metric structures1
Separablilty of metric measure spaces and choice axioms1
Positive logics1
Slender trees and the approximation property1
On sequential theorems in Reverse Mathematics1
A characterization of strongly computable finite factorization domains1
Another method to add a closed unbounded set of former regulars1
Siblings of direct sums of chains1
Apartness and the elimination of strong forms of extensionality1
On the non-measurability of $$\omega $$-categorical Hrushovski constructions1
An algebraic investigation of Linear Logic1
Restricted analytic valued fields with partial exponentiation1
Random structures and automorphisms with a single orbit1
Spectral MV-algebras and equispectrality1
Towards a homotopy domain theory1
Turing degrees and randomness for continuous measures1
Mathias and silver forcing parametrized by density1
On two consequences of CH established by Sierpiński. II1
The construction principle and non homogeneity of uncountable relatively free groups1
Pathology of submeasures and $$F_{\sigma }$$ ideals1
Ideals with Smital properties0
Monotonicity of the ultrafilter number function0
Prenex normalization and the hierarchical classification of formulas0
Intuitionistic sets and numbers: small set theory and Heyting arithmetic0
Cut elimination by unthreading0
On the $$\Sigma ^0_1$$-fragments of the Kreisel-Putnam axiom and two variants of the linearity axiom in intuitionistic arithmetic and analysis0
On undecidability of the propositional logic of an associative binary modality0
On diagonal functions for equivalence relations0
Glivenko–Cantelli classes and NIP formulas0
Weak essentially undecidable theories of concatenation, part II0
Superrosiness and dense pairs of geometric structures0
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order0
A criterion for the strong cell decomposition property0
Sets of real numbers closed under Turing equivalence: applications to fields, orders and automorphisms0
A closed subset of Baire space not Medvedev equivalent to any closed set of Cantor space0
Definable Tietze extension property in o-minimal expansions of ordered groups0
The Josefson–Nissenzweig theorem and filters on $$\omega $$0
The Tarski–Lindenbaum algebra of the class of strongly constructivizable models with $$\omega $$-stable theories0
Around the Eggleston Theorem0
On ultrafilters in ZF models and indecomposable ultrafilters0
The provably total functions of basic arithmetic and its extensions0
Wellfoundedness proof with the maximal distinguished set0
Vector spaces with a union of independent subspaces0
Indestructibility and the linearity of the Mitchell ordering0
Herbrandized modified realizability0
Generalized cardinal invariants for an inaccessible $$\kappa $$ with compactness at $$\kappa ^{++}$$0
On the theory of epistemic Łukasiewicz logic corresponding to the Chang algebra with application in Immune system0
On the extendability to $$\mathbf {\Pi }_3^0$$ ideals and Katětov order0
Axiomatizing modal inclusion logic and its variants0
Second order arithmetic as the model companion of set theory0
The adjacent Hindman’s Theorem and the $$\mathbb Z$$-Ramsey’s Theorem0
Free subsets in internally approachable models0
A syntactic approach to Borel functions: some extensions of Louveau’s theorem0
A general approach to asymptotic elimination of aggregation functions and generalized quantifiers0
A few more dissimilarities between second-order arithmetic and set theory0
Degrees of relations on canonically ordered natural numbers and integers0
Fragments of IOpen0
Homogeneity, P-like properties of ideals and orders between ideals0
Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities0
Dominating numbers at singular cardinals0
Herbrand complexity and the epsilon calculus with equality0
Ordered abelian groups that do not have elimination of imaginaries0
Structure of semisimple rings in reverse and computable mathematics0
On countably closed mutually embeddable models0
Infinite combinatorics revisited in the absence of Axiom of choice0
Constructible structures and constructible open cores0
On the consistency strength of critical leaps0
Indiscernibles and satisfaction classes in arithmetic0
A topological completeness theorem for transfinite provability logic0
Herbrand schemes for first-order logic0
On the rigidity of Souslin trees and their generic branches0
Cohesive powers of structures0
The existence of states based on Glivenko semihoops0
Correction to: Towers, mad families, and unboundedness0
On the non-existence of $$\kappa $$-mad families0
Glivenko sequent classes and constructive cut elimination in geometric logics0
On the topological dynamics of automorphism groups: a model-theoretic perspective0
Convergence of measures after adding a real0
What would the rational Urysohn space and the random graph look like if they were uncountable?0
Consistency and interpolation in linear continuous logic0
Logical complexity of reducts of elementary algebraic classes0
On computable numberings of families of Turing degrees0
Small measurable cardinals0
Katětov order between Hindman, Ramsey and summable ideals0
The small index property for countable superatomic boolean algebras0
Constructivity conditions on immune sets0
Effective weak and vague convergence of measures on the real line0
The second-order version of Morley’s theorem on the number of countable models does not require large cardinals0
Regressive versions of Hindman’s theorem0
The axiom of choice in metric measure spaces and maximal $$\delta $$-separated sets0
Questions on cardinal invariants of Boolean algebras0
Bachmann–Howard derivatives0
Symétrons et K-boucles $$\omega $$-stables0
Some implications of Ramsey Choice for families of $$\varvec{n}$$-element sets0
Involutive symmetric Gödel spaces, their algebraic duals and logic0
Countable homogeneous ordered bipartite graphs0
The fixed point and the Craig interpolation properties for sublogics of $$\textbf{IL}$$0
Definability in affine logic0
Recursive Polish spaces0
The SB-property on metric structures0
Extending antichains in the poset $$\langle [\omega ]^{<\omega },\subseteq \rangle $$0
On Harrop disjunction property in intermediate predicate logics0
Games characterizing certain families of functions0
Cut elimination for coherent theories in negation normal form0
Failure of cut-elimination in cyclic-proof systems of logic of bunched implications with inductive propositions0
On algebraic sums, trees and ideals in the Baire space0
Big Ramsey degrees in universal inverse limit structures0
Stably embedded submodels of Henselian valued fields0
Ranks based on strong amalgamation Fraïssé classes0
On the complexity of the theory of a computably presented metric structure0
On the hausdorff dimension of maximal chains and antichains of turing and hyperarithmetic degrees0
On the hierarchy of linearity axioms0
A Mathias criterion for the Magidor iteration of Prikry forcings0
On absorption’s formula definable semigroups of complete theories0
Categories and functors in reverse and computable mathematics0
Reflection ranks via infinitary derivations0
Revisiting the conservativity of fixpoints over intuitionistic arithmetic0
Square compactness and Lindelöf trees0
The externally definable Ramsey property and fixed points on type spaces0
On forcing over $$L(\mathbb {R})$$0
Semi-honest subrecursive degrees and the collection rule in arithmetic0
On two consequences of CH established by Sierpiński0
Varieties of truth definitions0
Characterization of subdirectly irreducible heyting algebras with negative tense operators0
Borel complexity of families of finite equivalence relations via large cardinals0
Different covering numbers of compact tree ideals0
Cardinal invariants associated with Hausdorff measures0
The extent of saturation of induced ideals0
Punctually presented structures II: comparing presentations0
Pcf without choice Sh8350
The Fan Theorem, its strong negation, and the determinacy of games0
An ordinal-connection axiom as a weak form of global choice under the GCH0
Towers, mad families, and unboundedness0
The additive structure of integers with the lower Wythoff sequence0
Errata: on the role of the continuum hypothesis in forcing principles for subcomplete forcing0
Open filters and measurable cardinals0
An infinitary propositional probability logic0
Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered0
An AEC framework for fields with commuting automorphisms0
Bounded distributive lattices with strict implication and weak difference0
Generic existence of interval P-points0
On some $$\Sigma ^{B}_{0}$$-formulae generalizing counting principles over $$V^{0}$$0
Quantifier-free induction for lists0
On categoricity of scattered linear orders of constructive ranks0
Positive indiscernibles0
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