A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Stationary Logic and Ordinals

1981
*
Transactions of the American Mathematical Society
*

The L(aa)-theory of ordinals is investigated. It is proved that this theory is decidable and that each ordinal is finitely determinate. 0. Introduction. The quantifier "aaA"' with the intended meaning "there is a closed and unbounded system of countable sets X" was introduced by Shelah in [25] . If we enrich the logic Lau by this quantifier we get the stationary logic Lua(aa). The fundamental paper for the study of stationary logic is [1] . Stationary logic has a smooth model theory and is a

doi:10.2307/1998646
fatcat:75up2yzha5f63iiiaxjjhl5woe