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  1. Forking in Short and Tame Abstract Elementary Classes.Will Boney & Rami Grossberg - 2017 - Annals of Pure and Applied Logic 168 (8):1517-1551.
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  • Limit Models in Metric Abstract Elementary Classes: The Categorical Case.Andrés Villaveces & Pedro Zambrano - 2016 - Mathematical Logic Quarterly 62 (4-5):319-334.
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  • Non-Forking W-Good Frames.Marcos Mazari-Armida - forthcoming - Archive for Mathematical Logic:1-26.
    We introduce the notion of a w-good \-frame which is a weakening of Shelah’s notion of a good \-frame. Existence of a w-good \-frame implies existence of a model of size \. Tameness and amalgamation imply extension of a w-good \-frame to larger models. As an application we show:Theorem 0.1. Suppose\. If \ = \mathbb {I} = 1 \le \mathbb {I} < 2^{\lambda ^{++}}\)and\is\\)-tame, then\.The proof presented clarifies some of the details of the main theorem of Shelah and avoids using (...)
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  • Almost Galois Ω-Stable Classes.John T. Baldwin, Paul B. Larson & Saharon Shelah - 2015 - Journal of Symbolic Logic 80 (3):763-784.
  • Forking and Superstability in Tame Aecs.Sebastien Vasey - 2016 - Journal of Symbolic Logic 81 (1):357-383.
  • Equivalent Definitions of Superstability in Tame Abstract Elementary Classes.Rami Grossberg & Sebastien Vasey - 2017 - Journal of Symbolic Logic 82 (4):1387-1408.
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  • Tameness and Frames Revisited.Will Boney & Sebastien Vasey - 2017 - Journal of Symbolic Logic 82 (3):995-1021.
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  • Iterated Elementary Embeddings and the Model Theory of Infinitary Logic.John T. Baldwin & Paul B. Larson - 2016 - Annals of Pure and Applied Logic 167 (3):309-334.
  • Beyond Abstract Elementary Classes: On the Model Theory of Geometric Lattices.Tapani Hyttinen & Gianluca Paolini - 2018 - Annals of Pure and Applied Logic 169 (2):117-145.
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  • Building Independence Relations in Abstract Elementary Classes.Sebastien Vasey - 2016 - Annals of Pure and Applied Logic 167 (11):1029-1092.
  • Tameness, Uniqueness Triples and Amalgamation.Adi Jarden - 2016 - Annals of Pure and Applied Logic 167 (2):155-188.
  • Good Frames in the Hart–Shelah Example.Will Boney & Sebastien Vasey - 2018 - Archive for Mathematical Logic 57 (5-6):687-712.
    For a fixed natural number \, the Hart–Shelah example is an abstract elementary class with amalgamation that is categorical exactly in the infinite cardinals less than or equal to \. We investigate recently-isolated properties of AECs in the setting of this example. We isolate the exact amount of type-shortness holding in the example and show that it has a type-full good \-frame which fails the existence property for uniqueness triples. This gives the first example of such a frame. Along the (...)
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  • Universal Classes Near ${\Aleph _1}$.Marcos Mazari-Armida & Sebastien Vasey - 2018 - Journal of Symbolic Logic 83 (4):1633-1643.
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  • Downward Categoricity From a Successor Inside a Good Frame.Sebastien Vasey - 2017 - Annals of Pure and Applied Logic 168 (3):651-692.
  • Shelah's Eventual Categoricity Conjecture in Universal Classes: Part I.Sebastien Vasey - 2017 - Annals of Pure and Applied Logic 168 (9):1609-1642.
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  • Canonical Forking in AECs.Will Boney, Rami Grossberg, Alexei Kolesnikov & Sebastien Vasey - 2016 - Annals of Pure and Applied Logic 167 (7):590-613.
  • Tameness and Extending Frames.Will Boney - 2014 - Journal of Mathematical Logic 14 (2):1450007.