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 2020-04-01 to 2024-04-01.)
ArticleCitations
Logics of left variable inclusion and Płonka sums of matrices9
Quantum logic is undecidable5
Degree structures of conjunctive reducibility4
Normalisation and subformula property for a system of classical logic with Tarski’s rule4
First-order concatenation theory with bounded quantifiers3
Towards a homotopy domain theory3
Bounded inductive dichotomy: separation of open and clopen determinacies with finite alternatives in constructive contexts3
The existence of states based on Glivenko semihoops3
Small $$\mathfrak {u}(\kappa )$$ at singular $$\kappa $$ with compactness at $$\kappa ^{++}$$3
The absorption law3
Towers and clubs3
Easton collapses and a strongly saturated filter3
A few more dissimilarities between second-order arithmetic and set theory2
Second order arithmetic as the model companion of set theory2
Tree-like constructions in topology and modal logic2
A note on cut-elimination for classical propositional logic2
Strong downward Löwenheim–Skolem theorems for stationary logics, I2
On the spectra of cardinalities of branches of Kurepa trees2
Ring structure theorems and arithmetic comprehension2
Reflection and not SCH with overlapping extenders2
Condensable models of set theory2
Coanalytic ultrafilter bases2
Bachmann–Howard derivatives2
Iterated multiplication in $$ VTC ^0$$2
Weak essentially undecidable theories of concatenation2
Many different uniformity numbers of Yorioka ideals2
$$AD_{\mathbb {R}}$$ implies that all sets of reals are $$\Theta $$ universally Baire2
Axiomatic theory of betweenness1
Type space functors and interpretations in positive logic1
On ultrafilter extensions of first-order models and ultrafilter interpretations1
Another method for constructing models of not approachability and not SCH1
$$sQ_1$$-degrees of computably enumerable sets1
Sofic profiles of $$S(\omega )$$ and computability1
The fixed point and the Craig interpolation properties for sublogics of $$\textbf{IL}$$1
Short note: Least fixed points versus least closed points1
Cichoń’s diagram and localisation cardinals1
A note on uniform density in weak arithmetical theories1
Some implications of Ramsey Choice for families of $$\varvec{n}$$-element sets1
Filter pairs and natural extensions of logics1
Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities1
On countably saturated linear orders and certain class of countably saturated graphs1
On extendability to $$F_\sigma $$ ideals1
Model completeness and relative decidability1
Model theory of monadic predicate logic with the infinity quantifier1
Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse1
Dividing lines in unstable theories and subclasses of Baire 1 functions1
Computable scott sentences for quasi–Hopfian finitely presented structures1
Forcing the Mapping Reflection Principle by finite approximations1
Monadic $$k\times j$$-rough Heyting algebras1
Glivenko sequent classes and constructive cut elimination in geometric logics1
Mutual algebraicity and cellularity1
Multiplicative finite embeddability vs divisibility of ultrafilters1
On Hilbert algebras generated by the order1
Strong cell decomposition property in o-minimal traces1
Definable groups in dense pairs of geometric structures1
Representability and compactness for pseudopowers1
Various forms of infinity for finitely supported structures1
Proof-theoretic uniform boundedness and bounded collection principles and countable Heine–Borel compactness1
Special ultrafilters and cofinal subsets of $$({}^\omega \omega , <^*)$$1
Hanf numbers for extendibility and related phenomena1
Strong downward Löwenheim–Skolem theorems for stationary logics, II: reflection down to the continuum1
Ranks based on strong amalgamation Fraïssé classes1
An ordinal-connection axiom as a weak form of global choice under the GCH0
Mathias and silver forcing parametrized by density0
A boundedness principle for the Hjorth rank0
Cut elimination for coherent theories in negation normal form0
Efficient elimination of Skolem functions in $$\text {LK}^\text {h}$$0
Monotonic modal logics with a conjunction0
An infinitary propositional probability logic0
First-order theories of bounded trees0
Rosenthal families, filters, and semifilters0
Computable approximations of a chainable continuum with a computable endpoint0
Disjunctive logic programs, answer sets, and the cut rule0
Involutive symmetric Gödel spaces, their algebraic duals and logic0
$$\Delta ^0_1$$ variants of the law of excluded middle and related principles0
Implicit recursion-theoretic characterizations of counting classes0
Complexity of $$\Sigma ^0_n$$-classifications for definable subsets0
Pcf without choice Sh8350
The abstract type of the real numbers0
Sprague–Grundy theory in bounded arithmetic0
On computable numberings of families of Turing degrees0
Compositional truth with propositional tautologies and quantifier-free correctness0
On forcing over $$L(\mathbb {R})$$0
Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures0
Wellfoundedness proof with the maximal distinguished set0
On the isomorphism problem for some classes of computable algebraic structures0
The structure of $$\kappa $$-maximal cofinitary groups0
Towers, mad families, and unboundedness0
The axiom of choice in metric measure spaces and maximal $$\delta $$-separated sets0
Big Ramsey degrees in universal inverse limit structures0
Definable connectedness of randomizations of groups0
Recursive Polish spaces0
Interpreting the compositional truth predicate in models of arithmetic0
Semi-honest subrecursive degrees and the collection rule in arithmetic0
A fixed-point theorem for definably amenable groups0
Remarks on weak amalgamation and large conjugacy classes in non-archimedean groups0
Varieties of truth definitions0
A Mathias criterion for the Magidor iteration of Prikry forcings0
Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces0
Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered0
Does weak quasi-o-minimality behave better than weak o-minimality?0
The small index property for countable superatomic boolean algebras0
Ideals with Smital properties0
Some complete $$\omega $$-powers of a one-counter language, for any Borel class of finite rank0
Preservation properties for products and sums of metric structures0
An AEC framework for fields with commuting automorphisms0
Prenex normalization and the hierarchical classification of formulas0
Pointwise complexity of the derivative of a computable function0
Definable Tietze extension property in o-minimal expansions of ordered groups0
Weak essentially undecidable theories of concatenation, part II0
On the rigidity of Souslin trees and their generic branches0
Infinite decreasing chains in the Mitchell order0
The independence of $$\mathsf {GCH}$$ and a combinatorial principle related to Banach–Mazur games0
Effective weak and vague convergence of measures on the real line0
Antichains of copies of ultrahomogeneous structures0
Keisler’s order via Boolean ultrapowers0
A criterion for uniform finiteness in the imaginary sorts0
Correction to: Generalization of Shapiro’s theorem to higher arities and noninjective notations0
The second-order version of Morley’s theorem on the number of countable models does not require large cardinals0
Hereditary G-compactness0
Independence-friendly logic without Henkin quantification0
A criterion for the strong cell decomposition property0
Indestructibility and the linearity of the Mitchell ordering0
On decidability of amenability in computable groups0
Herbrand complexity and the epsilon calculus with equality0
Involutive Uninorm Logic with Fixed Point enjoys finite strong standard completeness0
Reverse mathematics and semisimple rings0
On well-splitting posets0
Generic existence of interval P-points0
24th Workshop on Logic, Language, Information and Computation—WoLLIC 20170
Convergence of measures after adding a real0
Generalization of Shapiro’s theorem to higher arities and noninjective notations0
Questions on cardinal invariants of Boolean algebras0
On Harrop disjunction property in intermediate predicate logics0
Equivalence of generics0
Factorizing the $$\mathbf {Top}$$–$$\mathbf {Loc}$$ adjunction through positive topologies0
Computability and the game of cops and robbers on graphs0
Regressive versions of Hindman’s theorem0
Superrosiness and dense pairs of geometric structures0
Vector spaces with a union of independent subspaces0
Correction to: Towers, mad families, and unboundedness0
Destructibility and axiomatizability of Kaufmann models0
Continuous logic and embeddings of Lebesgue spaces0
On diagonal functions for equivalence relations0
The automorphism group and definability of the jump operator in the $$\omega $$-enumeration degrees0
A topological completeness theorem for transfinite provability logic0
Essential hereditary undecidability0
Cut elimination by unthreading0
On the complexity of the theory of a computably presented metric structure0
Positive logics0
Learning theory in the arithmetic hierarchy II0
On the non-existence of $$\kappa $$-mad families0
Maximal Tukey types, P-ideals and the weak Rudin–Keisler order0
Turing degrees and randomness for continuous measures0
The covering number of the strong measure zero ideal can be above almost everything else0
Hindman’s theorem for sums along the full binary tree, $$\Sigma ^0_2$$-induction and the Pigeonhole principle for trees0
L-domains as locally continuous sequent calculi0
Knowledge, behavior, and rationality: rationalizability in epistemic games0
Combinatory logic with polymorphic types0
Proof theory for heterogeneous logic combining formulas and diagrams: proof normalization0
Cohesive powers of structures0
Around accumulation points and maximal sequences of indiscernibles0
On the topological dynamics of automorphism groups: a model-theoretic perspective0
Structure of semisimple rings in reverse and computable mathematics0
The theories of Baldwin–Shi hypergraphs and their atomic models0
Enhancing induction in a contraction free logic with unrestricted abstraction: from $$\mathbf {Z}$$ to $$\mathbf {Z}_2$$0
Formalism and Hilbert’s understanding of consistency problems0
The additive structure of integers with the lower Wythoff sequence0
Sets of real numbers closed under Turing equivalence: applications to fields, orders and automorphisms0
Tameness in generalized metric structures0
Selection properties of the split interval and the Continuum Hypothesis0
Small sets in Mann pairs0
Generalised stability of ultraproducts of finite residue rings0
Revisiting the conservativity of fixpoints over intuitionistic arithmetic0
Characterising Brouwer’s continuity by bar recursion on moduli of continuity0
An alternative proof of the Hilbert-style axiomatization for the $$\{\wedge ,\vee \}$$-fragment of classical propositional logic0
Indiscernibles and satisfaction classes in arithmetic0
Independent families and some notions of finiteness0
On the extendability to $$\mathbf {\Pi }_3^0$$ ideals and Katětov order0
Between Hilbert and Gentzen: four-valued consequence systems and structural reasoning0
Stably embedded submodels of Henselian valued fields0
Consistency and interpolation in linear continuous logic0
A syntactic approach to Borel functions: some extensions of Louveau’s theorem0
Errata: on the role of the continuum hypothesis in forcing principles for subcomplete forcing0
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