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M. Harrison-Trainor

34 papers hereh-index 12474 citations88 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5
  • first author11
  • middle author9
  • last author9

Across the 34 of 34 papers where every author was matched, so the position is known.

fields
  • math.LO30
  • cs.AI1
  • cs.LG1
  • econ.TH1
  • math.AC1

identity via Semantic Scholar / OpenAlex

activity
20112026
most citedRelationships between computability-theoretic properties of problems

2 citations · 6 across the 20 of their papers we have counts for

collaborators
Showing 2018Show all

4 papers · 1 filter

math.LO2018

Characterizations of Cancellable Groups

Matthew Harrison-Trainor, Meng-Che "Turbo" Ho

An abelian group A is said to be cancellable if whenever A⊕G is isomorphic to A⊕H, G is isomorphic to H. We show that the index set of cancellable rank 1 to…

math.LO2018

Which Classes of Structures Are Both Pseudo-elementary and Definable by an Infinitary Sentence?

Will Boney, Barbara F. Csima, Nancy A. Day +1

When classes of structures are not first-order definable, we might still try to find a nice description. There are two common ways for doing this. One is to expand the language, le…

math.LO2018

Optimal bounds for single-source Kolmogorov extractors

Laurent Bienvenu, Barbara F. Csima, Matthew Harrison-Trainor

The rate of randomness (or dimension) of a string σ is the ratio C(σ)/∣σ∣ where C(σ) is the Kolmogorov complexity of σ. While it is known that a single computable transform…

math.LO2018

Degrees of Categoricity Above Limit Ordinals

Barbara F. Csima, Michael Deveau, Matthew Harrison-Trainor +1

A computable structure A has degree of categoricity d if d is exactly the degree of difficulty of computing isomorphisms between isomorphic comput…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.