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Structured Proofs in Isar/HOL

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Book cover Types for Proofs and Programs (TYPES 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2646))

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Abstract

Isar is an extension of the theorem prover Isabelle with a language for writing human-readable structured proofs. This paper is an introduction to the basic constructs of this language.

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References

  1. Gertrud Bauer and Markus Wenzel. Calculational reasoning revisited — an Isabelle/Isar experience. In R. Boulton and P. Jackson, editors, Theorem Proving in Higher Order Logics, TPHOLs 2001, volume 2152 of Lect. Notes in Comp. Sci., pages 75–90. Springer-Verlag, 2001.

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  2. M.C.J. Gordon, Robin Milner, and C.P. Wadsworth. Edinburgh LCF: a Mechanised Logic of Computation, volume 78 of Lect. Notes in Comp. Sci. Springer-Verlag, 1979.

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  3. Florian Kammüller, Markus Wenzel, and Lawrence C. Paulson. Locales: A sectioning concept for Isabelle. In Y. Bertot, G. Dowek, A. Hirschowitz, C. Paulin, and L. Thery, editors, Theorem Proving in Higher Order Logics, TPHOLs’99, volume 1690 of Lect. Notes in Comp. Sci., pages 149–165. Springer-Verlag, 1999.

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  4. Tobias Nipkow, Lawrence Paulson, and Markus Wenzel. Isabelle/HOL — A Proof Assistant for Higher-Order Logic, volume 2283 of Lect. Notes in Comp. Sci. Springer-Verlag, 2002. http://www.in.tum.de/~ nipkow/LNCS2283/.

  5. P. Rudnicki. An overview of the Mizar project. In Workshop on Types for Proofs and Programs. Chalmers University of Technology, 1992.

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  6. Markus Wenzel. Isabelle/Isar — A Versatile Environment for Human-Readable Formal Proof Documents. PhD thesis, Institut für Informatik, Technische Universität München, 2002. http://tumb1.biblio.tu-muenchen.de/publ/diss/in/2002/wenzel.html.

  7. Markus Wenzel. The Isabelle/Isar Reference Manual. Technische Universität München, 2002. http://isabelle.in.tum.de/dist/Isabelle2002/doc/isar-ref.pdf.

  8. Markus Wenzel and Freek Wiedijk. A comparison of the mathematical proof languages Mizar and Isar. J. Automated Reasoning, 2003. To appear.

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Author information

Authors and Affiliations

  1. Institut für Informatik, TU München, Germany

    Tobias Nipkow

Authors
  1. Tobias Nipkow
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Nijmegen, Toernooiveld 1, 6525 ED, Nijmegen, The Netherlands

    Herman Geuvers  & Freek Wiedijk  & 

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Nipkow, T. (2003). Structured Proofs in Isar/HOL. In: Geuvers, H., Wiedijk, F. (eds) Types for Proofs and Programs. TYPES 2002. Lecture Notes in Computer Science, vol 2646. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39185-1_15

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  • DOI: https://doi.org/10.1007/3-540-39185-1_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-14031-3

  • Online ISBN: 978-3-540-39185-2

  • eBook Packages: Springer Book Archive

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