Abstract
Logiweb is a system for electronic publication and archival of machine checked mathematics of high typographic quality. It can verify the formal correctness of pages, i.e. mathematical papers expressed suitably. The present paper is an example of such a Logiweb page and the present paper is formally correct in the sense that it has been verified by Logiweb. The paper may of course contain informal errors like any other paper. Logiweb is neutral with respect to choice of logic and choice of notation and can support any kind of formal reasoning.
Logiweb uses the World Wide Web to publish Logiweb pages and Logiweb pages can be viewed by ordinary Web browsers. Logiweb pages can reference definitions, lemmas, and proofs on previously referenced Logiweb pages across the Internet. When Logiweb verifies a Logiweb page, it takes all transitively referenced pages into account.
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References
Kohlhase, M.: OMDoc: An open markup format for mathematical documents (version 1.1) (2003), http://www.mathweb.org/omdoc/index.html
Miner, R., Schaeffer, J.: A gentle introduction to MathML (2001), http://www.dessci.com/en/support/tutorials/mathml/default.htm
Trybulec, A., Blair, H.: Computer assisted reasoning with MIZAR. In: Joshi, A. (ed.) Proceedings of the 9th International Joint Conference on Artificial Intelligence, Los Angeles, pp. 26–28. Morgan Kaufmann, San Francisco (1985), http://www.mizar.org/
Muzalewski, M.: An Outline of PC Mizar. Foundation of Logic, Mathematics and Informatics, Mizar User Group, Brussels (1993)
Berline, C., Grue, K.: A κ-denotational semantics for Map Theory in ZFC+SI. Theoretical Computer Science 179(1–2), 137–202 (1997)
Grue, K.: Map theory. Theoretical Computer Science 102(1), 1–133 (1992)
Skalberg, S.C.: An Interactive Proof System for Map Theory. PhD thesis, University of Copenhagen (2002), http://www.mangust.dk/skalberg/phd/
Vallée, T.: “Map Theory” et Antifondation. Electronic Notes in Theoretical Computer Science, vol. 79. Elsevier, Amsterdam (2003)
Constable, R.L., Allen, S., Bromly, H., Cleaveland, W., Cremer, J., Harper, R., Howe, D., Knoblock, T., Mendler, N., Panangaden, P., Sasaki, J., Smith, S.: Implementing Mathematics with the Nuprl Proof Development System. Prentice-Hall, Englewood Cliffs, New Jersey (1986)
Grue, K.: Mathematics and Computation, 7th edn., vol. 1–3. DIKU, Universitetsparken 1, DK-2100 Copenhagen (2001)
Grue, K.: Map theory with classical maps. Technical Report 02/21, DIKU (2002), http://www.diku.dk/publikationer/tekniske.rapporter/2002/
Paulson, L.C.: Introduction to Isabelle. Technical report, University of Cambridge, Computer Laboratory (1998)
Paulson, L.C.: The Isabelle reference manual. Technical report, University of Cambridge, Computer Laboratory (1998)
Berners-Lee, T., Masinter, L., McCahill, M.: Uniform Resource Locators (URL). RFC 1738, Internet Engineering Task Force (1994), http://rfc.net/rfc1738.html
Dobbertin, H., Bosselaers, A., Preneel, B.: RIPEMD-160: A strengthened version of RIPEMD. In: Fast Software Encryption, pp. 71–82 (1996), http://citeseer.ist.psu.edu/dobbertin96ripemd.html
Grue, K.: Logiweb - a system for web publication of mathematics - appendix. Technical report, Logiweb (2006), http://logiweb.eu:8080/logiweb/server/relay/64/BokG7o6Za5JH5cFpE6nduncQ-rtRhuYtj-eiigBB/2/body/tex/appendix.pdf
Grue, K.: A logiweb base page. Technical report, Logiweb (2006), http://logiweb.eu:8080/logiweb/server/relay/64/BAGTyrgl5Qmkb-DUmGqAWUda0vx9aHftYSeiigBB/2/
Grue, K.: The logiweb sequent calculus. Technical report, Logiweb (2006), http://logiweb.eu:8080/logiweb/server/relay/64/BsPa2QtKsY6LULMdLl-THnDv58AVac-MbeiigBB/2/
Mendelson, E.: Introduction to Mathematical Logic, 3rd edn. Wadsworth and Brooks (1987)
Knuth, D.: The TeXbook. Addison-Wesley, Reading (1983)
Grue, K.: Logiweb. In: Kamareddine, F. (ed.) Mathematical Knowledge Management Symposium 2003. Electronic Notes in Theoretical Computer Science, vol. 93, pp. 70–101. Elsevier, Amsterdam (2004)
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Grue, K. (2006). Logiweb – A System for Web Publication of Mathematics. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_34
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DOI: https://doi.org/10.1007/11832225_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38084-9
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