Joins and meets in the structure of ceers

U Andrews, A Sorbi - Computability, 2019 - content.iospress.com
We study computably enumerable equivalence relations (abbreviated as ceers) under
computable reducibility, and we investigate the resulting degree structure Ceers, which is a …

Universal computably enumerable equivalence relations

U Andrews, S Lempp, JS Miller, KM Ng… - The Journal of …, 2014 - cambridge.org
We study computably enumerable equivalence relations (ceers), under the reducibility if
there exists a computable function f such that. We show that the degrees of ceers under the …

[图书][B] Computable structure theory: Within the arithmetic

A Montalbán - 2021 - books.google.com
In mathematics, we know there are some concepts-objects, constructions, structures, proofs-
that are more complex and difficult to describe than others. Computable structure theory …

Computable model theory.

EB Fokina, VS Harizanov, AG Melnikov - 2014 - books.google.com
3. Theories, types, models, and diagrams. 138 4. Small theories and their models. 144 5.
Effective categoricity. 148 6. Automorphisms of effective structures. 156 7. Degree spectra of …

A survey on universal computably enumerable equivalence relations

U Andrews, S Badaev, A Sorbi - … : Essays Dedicated to Rodney G. Downey …, 2016 - Springer
We review the literature on universal computably enumerable equivalence relations, ie the
computably enumerable equivalence relations (ceers) which are Σ^ 0_1-complete with …

[PDF][PDF] Computability theoretic classifications for classes of structures

A Montalbán - Proccedings of the ICM, 2014 - math.berkeley.edu
In this paper, we survey recent work in the study of classes of structures from the viewpoint of
computability theory. We consider different ways of classifying classes of structures in terms …

The theory of ceers computes true arithmetic

U Andrews, N Schweber, A Sorbi - Annals of Pure and Applied Logic, 2020 - Elsevier
We show that the theory of the partial order of computably enumerable equivalence relations
(ceers) under computable reduction is 1-equivalent to true arithmetic. We show the same …

On the structure of computable reducibility on equivalence relations of natural numbers

U Andrews, DF Belin, L San Mauro - The Journal of Symbolic Logic, 2023 - cambridge.org
ON THE STRUCTURE OF COMPUTABLE REDUCIBILITY ON EQUIVALENCE RELATIONS OF
NATURAL NUMBERS • In descriptive set theory, Borel red Page 1 The Journal of Symbolic …

Computable topological groups and Pontryagin duality

A Melnikov - Transactions of the American Mathematical Society, 2018 - ams.org
The well-known Pontryagin Duality (classically) reduces the study of compact abelian
groups to the algebraic theory of discrete abelian groups. At first glance, Pontryagin Duality …

Computable abelian groups

AG Melnikov - Bulletin of Symbolic Logic, 2014 - cambridge.org
§1. Introduction. In this article we review results on algorithmic presen- tations of infinitely
generated abelian groups. A pr Page 1 The Bulletin of Symbolic Logic Volume 20, Number 3 …