activity
20192024
most citedDegrees of bi-embeddable categoricity

7 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

math.LO2024

Learning Families of Algebraic Structures from Text

Nikolay Bazhenov, Ekaterina Fokina, Dino Rossegger +2

We adapt the classical notion of learning from text to computable structure theory. Our main result is a model-theoretic characterization of the learnability from text for classes…

math.LO2023★ 2 cited

A Lopez-Escobar Theorem for Continuous Domains

Nikolay Bazhenov, Ekaterina Fokina, Dino Rossegger +2

We prove an effective version of the Lopez-Escobar theorem for continuous domains. Let be the set of countable structures with universe in vocabulary topologized b…

math.LO2020★ 3 cited

On bi-embeddable categoricity of algebraic structures

Nikolay Bazhenov, Dino Rossegger, Maxim Zubkov

In several classes of countable structures it is known that every hyperarithmetic structure has a computable presentation up to bi-embeddability. In this article we investigate the…

math.LO2019★ 7 cited

Degrees of bi-embeddable categoricity

Nikolay Bazhenov, Ekaterina Fokina, Dino Rossegger +1

We investigate the complexity of embeddings between bi-embeddable structures. In analogy with categoricity spectra, we define the bi-embeddable categoricity spectrum of a structure…

math.LO2019★ 2 cited

Computable embeddings for pairs of linear orders

Nikolay Bazhenov, Hristo Ganchev, Stefan Vatev

We study computable embeddings for pairs of structures, i.e. for classes containing precisely two non-isomorphic structures. Surprisingly, even for some pairs of simple linear orde…