Isomorphisms - A Link Between the Shallow and the Deep

  • Authors:
  • Thomas Santen

  • Affiliations:
  • -

  • Venue:
  • TPHOLs '99 Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics
  • Year:
  • 1999

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Abstract

We present a theory of isomorphisms between typed sets in Isabelle/ HOL. Those isomorphisms can serve to link a shallow embedding with a theory that defines certain concepts directly in HOL. Thus, it becomes possible to use the advantage of a shallow embedding that it allows for efficient proofs about concrete terms of the embedded formalism with the advantage of a deeper theory that establishes general abstract propositions about the key concepts of the embedded formalism as theorems in HOL.