Adding Metatheoretic facilities to First-order Theories

Basin, David A.; Matthews, Seán

doi:10.1093/logcom/6.6.835

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Adding Metatheoretic facilities to First-order Theories

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Basin, David A.
Programming Logics, MPI for Informatics, Max Planck Society;

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Matthews, Seán
Programming Logics, MPI for Informatics, Max Planck Society;

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引用

Basin, D. A., & Matthews, S. (1996). Adding Metatheoretic facilities to First-order Theories. Journal of Logic and Computation, 6(6), 835-849. doi:10.1093/logcom/6.6.835.

引用: https://hdl.handle.net/11858/00-001M-0000-0014-ABC1-8

要旨

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.