On bounded functional interpretations
β Scribed by Gilda Ferreira; Paulo Oliva
- Book ID
- 113459274
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 325 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We apply the method of asymmetric interpretation to the basic fragment of bounded arithmetic, endowed with a weak collection schema, and to a system of "feasible analysis" , introduced by Ferreira and based on weak Kiinig's lemma, recursive comprehension and NP-notation induction. As a byproduct, we
G odel interpreted Heyting arithmetic HA in a "logic-free" fragment T0 of his theory T of primitive recursive functionals of ΓΏnite types by his famous Dialectica-translation D . This works because the logic of HA is extremely simple. If the logic of the interpreted system is di erent-in particular m