Axiomatizability of positive algebras of binary relations

被引:0
|
作者
Hajnal Andréka
Szabolcs Mikulás
机构
[1] Hungarian Academy of Sciences,Alfréd Rényi Institute of Mathematics
[2] University of London,Department of Computer Science and Information Systems, Birkbeck
来源
Algebra universalis | 2011年 / 66卷
关键词
Primary: 03G15; Secondary: 06F05; representable relation algebras; finite axiomatizability; ordered semigroups;
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摘要
We consider all positive fragments of Tarski’s representable relation algebras and determine whether the equational and quasiequational theories of these fragments are finitely axiomatizable in first-order logic. We also look at extending the signature with reflexive, transitive closure and the residuals of composition.
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