Vaught's theorem holds for l2 but fails for ln when n > 2


Khaled M. K. M. I., Ahmed T. S.

Bulletin of the Section of Logic, cilt.39, sa.3-4, ss.107-122, 2010 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3-4
  • Basım Tarihi: 2010
  • Dergi Adı: Bulletin of the Section of Logic
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.107-122
  • İstanbul Medipol Üniversitesi Adresli: Hayır

Özet

Vaught's theorem says that if T is a countable atomic first order theory, then T has an atomic model. Let Ln denote the finite variable fragment of first order logic with n variables. We show that a strong form of Vaught's theorem holds for L2 while it fails for Ln when n > 2. An analogous result is proved for the finite variable fragments without equality.