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Hilberticus - A Tool Deciding an Elementary Sublanguage of Set Theory

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Book cover Automated Reasoning (IJCAR 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2083))

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Abstract

We present a tool deciding a fragment of set theory. It is designed to be easily accessible via the internet and intuitively usable by anyone who is working with sets to describe and solve problems. The tool supplies features which are well-suited for teaching purposes as well. It offers a self explaining user interface, a parser reflecting the common operator bindings, parse tree visualization, and the possibility to generate Venn diagrams as examples or counterexamples for a given formula. The implemented decision procedure which is based on the semantics of class theory is particularly suitable for this.

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Author information

Authors and Affiliations

  1. Univ. Dortmund, Fachbereich Informatik, LS 5, 44227, Dortmund, Germany

    Jörg Lücke

Authors
  1. Jörg Lücke
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Editor information

Editors and Affiliations

  1. Automated Reasoning Project and Department of Computer Science, Australian National University, Canberra, ACT, 0200, Australia

    Rajeev Goré

  2. AG Theoretische Informatik und Logik, Institut für Computersprachen, Technische Universität Wien, Favoritenstr. 9, E185-2, 1040, Wien, Austria

    Alexander Leitsch

  3. Institut für Informatik, Technische Universität München, 80290, München, Germany

    Tobias Nipkow

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© 2001 Springer-Verlag Berlin Heidelberg

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Lücke, J. (2001). Hilberticus - A Tool Deciding an Elementary Sublanguage of Set Theory. In: Goré, R., Leitsch, A., Nipkow, T. (eds) Automated Reasoning. IJCAR 2001. Lecture Notes in Computer Science, vol 2083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45744-5_57

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  • DOI: https://doi.org/10.1007/3-540-45744-5_57

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42254-9

  • Online ISBN: 978-3-540-45744-2

  • eBook Packages: Springer Book Archive

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