Volume 6: January - December 1996

Issue 6: December 1996

Abstract


Adding metatheoretic facilities to first-order theories

  • Adding metatheoretic facilities to first-order theories
  • D. Basin and S. Matthews Max-Planck-Institut fur Informatik, Im Stadtwald, D-66123 Saarbrucken, Germany

    ABSTRACT

    Generic proof systems like Isabelle provide some limited but useful metatheoretic facilities for declared logics; in particular, users can prove simple derived rules and also 'solve' formulae that contain metavariables - a technique useful for program synthesis. We show how an arbitrary first-order theory can be conservatively extended to provide similar facilities, without a supporting metatheory, and examine what the limitations of this approach are.

    Keywords: Computer assisted proof, logical frameworks, metatheoretic extensibility, second-order logic, proof theory.

    Pages: 835 - 849

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