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|Type:||Artigo de periódico|
|Title:||Cauchy completeness in elementary logic|
|Abstract:||The inverse of the distance between two structures A not equal B of finite type sis naturally measured by the smallest integer q such that a sentence of quantifier rank q-1 is satisfied by A but not by B. In this way the space Str of structures of type tau is equipped with a pseudometric. The induced topology coincides with the elementary topology of Str(tau). Using the rudiments of the theory of uniform spaces, in this elementary note we prove the convergence of every Cauchy net of structures, for any type tau.|
|Editor:||Assn Symbolic Logic Inc|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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