Proving by example and gap theorems

  • Authors:
  • Jiawei Hong

  • Affiliations:
  • -

  • Venue:
  • SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1986

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Abstract

This paper proposes a proving_by_example method, which works as follows: Given a geometry proposition we can easily present a concrete numerical example such that in order to determine whether the proposition is generally true, one need only to try this example up to a certain number of significant digits. This is an application of a recently discovered gap theorem.