Enrichments of Boolean algebras by Presburger predicates

We give a unified treatment of the model theory of various enrichments of infinite atomic Boolean algebras, with special attention to quantifier eliminations, complete axiomatizations and decidability. Our main enrichment is by a predicate for the ideal of finite sets and predicates for congruence c...

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Bibliographic Details
Main Authors: Derakhshan, J, Macintyre, A
Format: Journal article
Language:English
Published: Polskiej Akademii Nauk, Instytut Matematyczny 2017