Between text and non-text: the draft in translation Usher of Charles Baudelaire's ...
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [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 |
| 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 (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 |