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Benno van den Berg: Recent results around a nonstandard functional interpretation

Tid: On 2015-01-21 kl 10.00 - 11.45

Plats: Room 16, building 5, Kräftriket, Department of mathematics, Stockholm university

Medverkande: Benno van den Berg, ILLC, University of Amsterdam

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In recent work with Eyvind Briseid and Pavol Safarik we defined functional interpretations for systems for nonstandard arithmetic. We used these interpretations to prove conservation and term extraction results. In the talk I will explain the nonstandard functional interpretation could have been found without aiming for a proof-theoretic analysis of nonstandard systems, but rather by modifying certain ideas for refined term extraction. I will also discuss recent developments.