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  1. On Vapnik‐Chervonenkis density over indiscernible sequences.Vincent Guingona & Cameron Donnay Hill - 2014 - Mathematical Logic Quarterly 60 (1-2):59-65.
    In this paper, we study Vapnik‐Chervonenkis density (VC‐density) over indiscernible sequences (denoted VCind‐density). We answer an open question in [1], showing that VCind‐density is always integer valued. We also show that VCind‐density and dp‐rank coincide in the natural way.
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  • An introduction to theories without the independence property.Hans Adler - unknown
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  • On dp-minimality, strong dependence and weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
    We study dp-minimal and strongly dependent theories and investigate connections between these notions and weight.
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  • On uniform definability of types over finite sets.Vincent Guingona - 2012 - Journal of Symbolic Logic 77 (2):499-514.
    In this paper, using definability of types over indiscernible sequences as a template, we study a property of formulas and theories called "uniform definability of types over finite sets" (UDTFS). We explore UDTFS and show how it relates to well-known properties in model theory. We recall that stable theories and weakly o-minimal theories have UDTFS and UDTFS implies dependence. We then show that all dp-minimal theories have UDTFS.
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