Vaught's Conjecture Without Equality

نویسنده

  • Nathanael Leedom Ackerman
چکیده

Suppose σ ∈ Lω1,ω(L) is such that all equations occurring in σ are positive, have the same set of variables on each side of the equality symbol, and have at least one function symbol on each side of the equality symbol. We show that σ satisfies Vaught’s conjecture. In particular this proves Vaught’s conjecture for sentences of Lω1,ω(L) without equality.

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عنوان ژورنال:
  • Notre Dame Journal of Formal Logic

دوره 56  شماره 

صفحات  -

تاریخ انتشار 2015