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Which classes of structures are both pseudo-elementary and definable by an infinitary sentence?
|dc.contributor.author||Csima, Barbara F.|
|dc.contributor.author||Day, Nancy A.|
|dc.date.accessioned||2020-07-07 15:46:24 (GMT)|
|dc.date.available||2020-07-07 15:46:24 (GMT)|
|dc.description.abstract||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, leading to notions of pseudo-elementary classes, and the other is to allow infinite conjuncts and disjuncts. In this paper we examine the intersection. Namely, we address the question: Which classes of structures are both pseudo-elementary and Lω1,ω-elementary? We find that these are exactly the classes that can be defined by an infinitary formula that has no infinitary disjunctions.||en|
|dc.description.sponsorship||Natural Sciences and Engineering Research Council Discovery Grant 312501 || Natural Sciences and Engineering Research Council Banting Fellowship||en|
|dc.title||Which classes of structures are both pseudo-elementary and definable by an infinitary sentence?||en|
|uws.contributor.affiliation1||Faculty of Mathematics||en|
|uws.contributor.affiliation2||David R. Cheriton School of Computer Science||en|