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Custom Automations in Mizar

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Abstract

The central aim of the Mizar project is to produce strictly formalized mathematical statements with mechanically certified proofs. When writing a Mizar formalization, a significant amount of the user’s time typically goes into browsing the Mizar Mathematical Library (MML) for the already-proved results he needs. Here a few techniques to reduce this time are illustrated.

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References

  1. Bancerek, G., Urban, J.: Integrated semantic browsing of the Mizar mathematical library for authoring Mizar articles. In: Mathematical Knowledge Management, pp. 44–57. Springer (2004)

  2. Cairns, P., Gow, J.: Integrating searching and authoring in Mizar. J. Autom. Reason. 39(2), 141–160 (2007)

    Article  MATH  Google Scholar 

  3. Caminati, M.: Preliminaries to classical first-order model theory. Form. Math. 19(3), 155–167 (2011)

    Article  Google Scholar 

  4. Grabowski, A., Korniłowicz, A., Naumowicz, A.: Mizar in a nutshell. J. Form. Reason. 3(2), 153–245 (2010)

    MATH  Google Scholar 

  5. Naumowicz, A.: Evaluating prospective built-in elements of computer algebra in Mizar. Stud. Log. Gramm. Rhetor. 10(23), 191–200 (2007)

    Google Scholar 

  6. Naumowicz, A., Byliński, C.: Improving Mizar texts with properties and requirements. In: Mathematical Knowledge Management, pp. 290–301. Springer (2004)

  7. Rudnicki, P., Trybulec, A.: On equivalents of well-foundedness. J. Autom. Reason. 23(3), 197–234 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  8. Rudnicki, P., Urban, J.: Escape to ATP for Mizar. In: First Workshop on Proof eXchange for Theorem Proving. http://pxtp2011.loria.fr/ (2011). Accessed 23 Oct 2012

  9. Urban, J.: MizarMode–an integrated proof assistance tool for the Mizar way of formalizing mathematics. J. Appl. Log. 4(4), 414–427 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  10. Urban, J.: MoMM-fast interreduction and retrieval in large libraries of formalized mathematics. Int. J. Artif. Intell. Tools 15(1), 109 (2006)

    Article  Google Scholar 

  11. Wiedijk, F.: Mizar’s soft type system. In: Proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, pp. 383–399. Springer (2007)

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Correspondence to Marco Bright Caminati.

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Caminati, M.B., Rosolini, G. Custom Automations in Mizar. J Autom Reasoning 50, 147–160 (2013). https://doi.org/10.1007/s10817-012-9266-1

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  • DOI: https://doi.org/10.1007/s10817-012-9266-1

Keywords

Mathematics Subject Classifications (2010)

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