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EHRENFEUCHT-FRAÏSSÉ GAMES ON A CLASS OF SCATTERED LINEAR ORDERS

Published online by Cambridge University Press:  10 December 2019

FERESIANO MWESIGYE  and
JOHN KENNETH TRUSS
FERESIANO MWESIGYE
Affiliation:
DEPARTMENT OF PURE MATHEMATICS UNIVERSITY OF LEEDS LEEDS LS2 9JT, UK and DEPARTMENT OF MATHEMATICS MBARARA UNIVERSITY OF SCIENCE AND TECHNOLOGY MBARARA, P. O. BOX 1410 UGANDA E-mail:[email protected]
JOHN KENNETH TRUSS
Affiliation:
DEPARTMENT OF PURE MATHEMATICS UNIVERSITY OF LEEDS LEEDS LS2 9JT, UK E-mail:[email protected]
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Abstract

Two structures A and B are n-equivalent if Player II has a winning strategy in the n-move Ehrenfeucht-Fraïssé game on A and B. In earlier articles we studied n-equivalence classes of ordinals and coloured ordinals. In this article we similarly treat a class of scattered order-types, focussing on monomials and sums of monomials in ω and its reverse ω*.

Keywords

06A0503C64scattered linear ordermonomialEhrenfeucht-Fraïssé game
Type
Articles
Information
The Journal of Symbolic Logic , Volume 85 , Issue 1 , March 2020 , pp. 37 - 60
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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