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Muscadet 2.3: A Knowledge-Based Theorem Prover Based on Natural Deduction

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Automated Reasoning (IJCAR 2001)

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

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Abstract

The Muscadet theorem prover is a knowledge-based system. It is based on natural deduction, following the terminology of Bledsoe ([1], [2]), and uses methods which resemble those used by humans. It is composed of an inference engine, which interprets and executes rules, and of one or several bases of facts, which are the internal representations of “theorems to be proved”.

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References

  1. Bledsoe, W.W. Splitting and reduction heuristics in automatic theorem proving, Journal of Artificial Intelligence 2 (1971), 55–77

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  2. Bledsoe, W.W., Non-resolution theorem proving, Journal of Artificial Intelligence 9 (1977), 1–35

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  3. Pastre D., Automatic theorem Proving in Set theory, Journal of Artificial Intelligence 10 (1978), 1–27

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  4. Pastre D., Muscadet: An Automatic theorem Proving System using Knowledge and Metaknowledge in Mathematics-Journal of Artificial Intelligence 38.3 (1989)

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  5. Pastre D., Automated theorem Proving in Mathematics, Annals on Artificial Intelligence and Mathematics 8.3-4 (1993), 425–447

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  6. Pastre D., Entre le déclaratif et le procédural: l’expression des connaissances dans le système Muscadet, Revue d’Intelligence Artificielle 8.4 (1995), 361–381

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Author information

Authors and Affiliations

  1. Crip5, Université René Descartes, France

    Dominique Pastre

Authors
  1. Dominique Pastre
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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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Pastre, D. (2001). Muscadet 2.3: A Knowledge-Based Theorem Prover Based on Natural Deduction. 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_56

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  • DOI: https://doi.org/10.1007/3-540-45744-5_56

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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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