G?del s Functional Dialectica Interpretation 1998 30 citations ? 2 self
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(0) (0 Votes)Views: (1009) Date: (13-05-09) Pages: () -
Author: by Jeremy Avigad Solomon Feferman
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Abstract: Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 338 2. The Dialectica interpretation of arithmetic . . . . . . . . . . . . . . . . . . . . . 341 3. Consequences and benefits of the interpretation . . . . . . . . . . . . . . . . . . 351 4. Models of T , type structures, and normalizability . . . . . . . . . . . . . . . . . 356 5. The interpretation of fragments of arithmetic . . . . . . . . . . . . . . . . . . . 362 6. The interpretation of analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 7. Conservation results for weak Konig's lemma . . . . . . . . . . . . . . . . . . . 371 8. Non-constructive interpretations and applications . . . . . . . . . . . . . . . . . 377 9. The interpretation of theories of ordinals . . . . . . . . . . . . . . . . . . . . . .
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