Details:
Title | Refined program extraction from classical proofs | Author(s) | Ulrich Berger, Wilfried Buchholz, Helmut Schwichtenberg | Type | Article in Journal | Abstract | The paper presents a refined method of extracting reasonable and sometimes unexpected programs from classical proofs of formulas of the form for all x there exists y B. We also generalize previously known results, since B no longer needs to be quantifier-free, but only has to belong to a strictly larger class of so-called "goal formulas". Furthermore we allow unproven lemmas D in the proof of for allxthere existsyB, where D is a so-called "definite" formula. | Keywords | Program extraction; A-translation; Definite formula | Length | 23 | ISSN | 0168-0072 | Copyright | Copyright © 2002 Elsevier Science B.V. All rights reserved. |
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Language | English | Journal | Annals of Pure and Applied Logic | Volume | 114, Issues 1-3 | Pages | 3-25 | Publisher | Elsevier | Year | 2002 | Month | April | Editor | S.N. Artemov, J.-Y. Girard, T. Jech, A. Kechris, U. Kohlenbach, Ph.G. Kolaitis, I. Moerdijk, R.I. Soare, A.J. Wilkie | Edition | 0 | Translation |
No | Refereed |
Yes |
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