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math.LODec 4, 2010
73
citations (OpenAlex)
authors
  • Su Gao
  • Peter Gerdes
institutions
  • California Institute of Technology
arXiv abstractPDF
paper

Computably Enumerable Equivalence Relations

arXiv:1012.0944 · doi:10.1023/A:1010521410739

Abstract

We study computably enumerable equivalence relations (ceers) on N and unravel a rich structural theory for a strong notion of reducibility among ceers.

Cited by in corpus (13)

  • The hierarchy of equivalence relations on the natural numbers under computable reducibility
  • On the structure of computable reducibility on equivalence relations of natural numbers
  • Classifying equivalence relations in the Ershov hierarchy
  • Punctual equivalence relations and their (punctual) complexity
  • Measuring the complexity of reductions between equivalence relations
  • Computable Component-wise Reducibility
  • Computably discrete represented spaces
  • Complexity of equivalence relations and preorders from computability theory
  • Computable reducibility of equivalence relations and an effective jump operator
  • Calibrating word problems of groups via the complexity of equivalence relations
  • Comparing the isomorphism types of equivalence structures and preorders
  • Semi-decidable equivalence relations obtained by composition and lattice join of decidable equivalence relations
  • Word problems and ceers
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