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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Interpolation via translations

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Rasga, Joao [1] ; Carnielli, Walter [2] ; Sernadas, Cristina [1]
Total Authors: 3
[1] Univ Tecn Lisboa, IST, DM, Lisbon - Portugal
[2] Univ Estadual Campinas, CLE & IFCH, Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MATHEMATICAL LOGIC QUARTERLY; v. 55, n. 5, p. 515-534, OCT 2009.
Web of Science Citations: 1

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 (AU)

FAPESP's process: 04/14107-2 - Logical consequence and combinations of logics: fundaments and efficient applications
Grantee:Walter Alexandre Carnielli
Support type: Research Projects - Thematic Grants