Title
Computable Isomorphisms of Boolean Algebras with Operators
Abstract
In this paper we investigate computable isomorphisms of Boolean algebras with operators (BAOs). We prove that there are examples of polymodal Boolean algebras with finitely many computable isomorphism types. We provide an example of a polymodal BAO such that it has exactly one computable isomorphism type but whose expansions by a constant have more than one computable isomorphism type. We also prove a general result showing that BAOs are complete with respect to the degree spectra of structures, computable dimensions, expansions by constants, and the degree spectra of relations.
Year
DOI
Venue
2012
10.1007/s11225-012-9411-1
Studia Logica
Keywords
DocType
Volume
Computable isomorphism,Boolean algebra with operators,Degree spectrum
Journal
100
Issue
ISSN
Citations 
3
0039-3215
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Bakhadyr Khoussainov160472.96
Tomasz Kowalski212424.06