Structures de réalisabilité, RAM et ultrafiltre sur N

Jean-Louis Krivine · arXiv (Cornell University) · 2008

We show how to transform into programs the proofs in classical Analysis which use the existence of an ultrafilter on the integers. The method mixes the classical realizability introduced by the author, with the "forcing" of P. Cohen. The programs we obtain, use read and write instructions in random access memory.

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