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Abstract Proof Checking: An Example Motivated by an Incompleteness Theorem

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Abstract

We demonstrate the use of abstraction in aiding the construction of aninteresting and difficult example in a proof-checking system. Thisexperiment demonstrates that abstraction can make proofs easier tocomprehend and to verify mechanically. To support such proof checking, wehave developed a formal theory of abstraction and added facilities for usingabstraction to the GETFOL proof-checking system.

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Authors and Affiliations

  1. Mathematical Reasoning Group, Dept. of Ai, University of Edinburgh, U.K

    Alan Bundy

  2. Istituto Ricerca Scientifica e Tecnologica, Italy (irst)

    Fausto Giunchiglia & Toby Walsh

  3. Disa, University of Trento, Italy

    Fausto Giunchiglia

  4. Istituto di Informatica, University of Ancona, Italy

    Adolfo Villafiorita

  5. Mechanized Reasoning Group, Dist, University of Genoa, Italy

    Adolfo Villafiorita & Toby Walsh

Authors
  1. Alan Bundy
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  2. Fausto Giunchiglia
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  3. Adolfo Villafiorita
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  4. Toby Walsh
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Bundy, A., Giunchiglia, F., Villafiorita, A. et al. Abstract Proof Checking: An Example Motivated by an Incompleteness Theorem. Journal of Automated Reasoning 19, 319–346 (1997). https://doi.org/10.1023/A:1005877613942

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