Abstract.
We prove that for any simple theory which is constructed via Fräissé-Hrushovski method, if the forking independence is the same as the d-independence then the stable forking property holds.
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Received: 22 January 2001 / Published online: 19 December 2002
This article is part of the author's D-Phil thesis, written at the University of Oxford and supported by the Ministry of Higher Education of Iran. The author would like to thank the Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran, for its financial support whilst working on this article.
Mathematics Subject Classification (2000): 03C45
Key words or phrases: Generic structures – Fräissé-Hrushovski method – Predimension – Simple theories – Stable theories – Stable forking conjecture
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Pourmahdian, M. The stable forking conjecture and generic structures. Arch. Math. Logic 42, 415–421 (2003). https://doi.org/10.1007/s00153-002-0147-x
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DOI: https://doi.org/10.1007/s00153-002-0147-x