Isomorphism relations on computable structures
Ekaterina B. Fokina, Sy-David Friedman, Valentina Harizanov, Julia F. Knight, Charles Mccoy & Antonio Montalbán
Journal of Symbolic Logic 77 (1):122-132 (2012)
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| Abstract |
We study the complexity of the isomorphism relation on classes of computable structures. We use the notion of FF-reducibility introduced in [9] to show completeness of the isomorphism relation on many familiar classes in the context of all ${\mathrm{\Sigma }}_{1}^{1}$ equivalence relations on hyperarithmetical subsets of ω
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| DOI | 10.2178/jsl/1327068695 |
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References found in this work BETA
Effective Categoricity of Equivalence Structures.Wesley Calvert, Douglas Cenzer, Valentina Harizanov & Andrei Morozov - 2006 - Annals of Pure and Applied Logic 141 (1):61-78.
A Borel Reducibility Theory for Classes of Countable Structures.Harvey Friedman & Lee Stanley - 1989 - Journal of Symbolic Logic 54 (3):894-914.
The Effective Theory of Borel Equivalence Relations.Ekaterina B. Fokina, Sy-David Friedman & Asger Törnquist - 2010 - Annals of Pure and Applied Logic 161 (7):837-850.
View all 11 references / Add more references
Citations of this work BETA
Bi‐Embeddability Spectra and Bases of Spectra.Ekaterina Fokina, Dino Rossegger & Luca San Mauro - 2019 - Mathematical Logic Quarterly 65 (2):228-236.
Graphs Realised by R.E. Equivalence Relations.Alexander Gavruskin, Sanjay Jain, Bakhadyr Khoussainov & Frank Stephan - 2014 - Annals of Pure and Applied Logic 165 (7-8):1263-1290.
Computable Abelian Groups.Alexander G. Melnikov - 2014 - Bulletin of Symbolic Logic 20 (3):315-356,.
Jumps of Computably Enumerable Equivalence Relations.Uri Andrews & Andrea Sorbi - 2018 - Annals of Pure and Applied Logic 169 (3):243-259.
Torsion-Free Abelian Groups with Optimal Scott Families.Alexander G. Melnikov - 2018 - Journal of Mathematical Logic 18 (1):1850002.
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