Proof planning Non-standard Analysis

نویسندگان

  • Ewen Maclean
  • Jacques D. Fleuriot
  • Alan Smaill
چکیده

We describe how non-standard analysis can be used to prove real analysis theorems, and how these proofs can be automated using proof-planning. In particular we borrow from the constructive analysis notions of inductive partitioning, and show how transferring to the non-standard model for the reals allows us a simple proof of the correctness of partitioning algorithms for certain real analysis theorems.

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تاریخ انتشار 2002