Some variants of Vaught's conjecture from the perspective of algebraic logic

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Logic Journal of the IGPL 20 (6):1064-1082 (2012)
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10.1093/jigpal/jzr049

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Vaught’s Conjecture Without Equality.Nathanael Leedom Ackerman - 2015 - Notre Dame Journal of Formal Logic 56 (4):573-582.

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References found in this work

The number of countable models.Michael Morley - 1970 - Journal of Symbolic Logic 35 (1):14-18.
Vaught’s conjecture for superstable theories of finite rank.Steven Buechler - 2008 - Annals of Pure and Applied Logic 155 (3):135-172.
A completeness theorem for higher order logics.Gabor Sagi - 2000 - Journal of Symbolic Logic 65 (2):857-884.

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