Abstract
The Mizar system is equipped with a very large library containing tens of thousands of theorems and thousands of definitions, which often use overloaded notation. For efficient authoring of new Mizar articles it is necessary to have good tools for searching and browsing this library. It would be ideal if such tools were simple, intuitive and easy to access. Particularly, they should provide interactive and integrated support during authoring Mizar articles.
We describe an approach to this task which uses the extendable MML Query tools to generate a special representation of the Mizar library (MML). This representation, so called Generated Mizar Abstracts, contains human readable form of the MML, completed by additional information which is missing or hidden in regular Mizar abstracts and texts. It also includes semantic information necessary for implementing advanced browsing in the Mizar authoring environment for Emacs (Mizar mode). Together with other functions of the Mizar mode, this allows the authors of Mizar articles to disambiguate the meaning of overloaded Mizar notations, and thus helps to start browsing at an appropriate place.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bancerek, G.: Cardinal numbers. Formalized Mathematics 2(1), 377–382 (1990), http://mizar.uwb.edu.pl/JFM/Vol1/card_1.abs.html
Bancerek, G.: MML Query, description, http://megrez.mizar.org/mmlquery/description.html
Bancerek, G., Rudnicki, P.: Information retrieval in MML. In: Asperti, A., Buchberger, B., Davenport, J. (eds.) MKM 2003. LNCS, vol. 2594, pp. 119–132. Springer, Heidelberg (2003)
Borenstein, N.: The text/enriched MIME Content-type (09/23/1993), ftp://ftp.rfc-editor.org/in-notes/rfc1523.txt
Borenstein, N.: The text/enriched MIME Content-type (01/10/ 1994), ftp://ftp.rfc-editor.org/in-notes/rfc1563.txt
The grammar of the Mizar library items, http://merak.pb.bialystok.pl/mmlquery/mmlquery.html#Library-item
Journal of Formalized Mathematics, http://mizar.uwb.edu.pl/JFM/
The Mizar Home Page, http://mizar.org
Resnick, P., Walker, A.: The text/enriched MIME Content-type (January 1996), ftp://ftp.rfc-editor.org/in-notes/rfc1896.txt
Rudnicki, P.: An overview of the Mizar project. In: Proceedings of the 1992, Workshop on Types for Proofs and Programs. Chalmers University of Technology, Bastad (1992)
Rudnicki, P., Trybulec, A.: On Equivalents of Well-foundedness. An experiment in MIZAR. Journal of Automated Reasoning 23, 197–234 (1999)
Urban, J.: MizarMode: Emacs Authoring Environment for Mizar, available online at: http://kti.mff.cuni.cz/~urban/MizarModeDoc/html/
Urban, J.: MoMM – Fast interreduction and retrieval in large libraries of formalized mathematics. In: Sutcliffe, G., Schultz, S., Tammit, T. (eds.) Proceedings of the IJCAR 2004 Workshop on Empirically Successful First Order Reasoning, ENTCS (accepted, 2004), Available online at: http://ktiml.mff.cuni.cz/~urban/MoMM/momm.ps
Urban, J.: MPTP – Motivation, implementation, first experiments. In: Dahn, I., Kapur, D., Vigneron, L. (eds.) Journal of Automated Reasoning, First-Order Theorem Proving Special Issue. Kluwer Academic Publishers, Dordrecht (supposed publication: end of 2004) (accepted), Available online at: http://kti.ms.mff.cuni.cz/~urban/MPTP/mptp-jar.ps.gz
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bancerek, G., Urban, J. (2004). Integrated Semantic Browsing of the Mizar Mathematical Library for Authoring Mizar Articles. In: Asperti, A., Bancerek, G., Trybulec, A. (eds) Mathematical Knowledge Management. MKM 2004. Lecture Notes in Computer Science, vol 3119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27818-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-27818-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23029-8
Online ISBN: 978-3-540-27818-4
eBook Packages: Springer Book Archive