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|Type:||Artigo de periódico|
|Title:||Interpolation via translations|
|Abstract:||A new technique is presented for proving that a consequence system enjoys Craig interpolation or Maehara interpolation based on the fact that these properties hold in another consequence system. This technique is based on the existence of a back and forth translation satisfying some properties between the consequence systems. Some examples of translations satisfying those properties are described. Namely a translation between the global/local consequence systems induced by fragments of linear logic, a Kolmogorov-Gentzen-Godel style translation, and a new translation between the global consequence systems induced by full Lambek calculus and linear logic, mixing features of a Kiriyama-Ono style translation with features of a Kolmogorov-Gentzen-Godel style translation. These translations establish a strong relationship between the logics involved and are used to obtain new results about whether Craig interpolation and Maehara interpolation hold in that logics. (c) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim|
preservation of interpolation
|Editor:||Wiley-v C H Verlag Gmbh|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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