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Case studies in meta-level theorem proving

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Theorem Proving in Higher Order Logics (TPHOLs 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1479))

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Abstract

We describe an extension of the PVS system that provides a reasonably efficient and practical notion of reflection and thus allows for soundly adding formalized and verified new proof procedures. These proof procedures work on representations of a part of the underlying logic and their correctness is expressed at the object level using a computational reflection function. The implementation of the PVS system has been extended with an efficient evaluation mechanism, since the practicality of the approach heavily depends on careful engineering of the core system, including efficient normalization of functional expressions. We exemplify the process of applying meta-level proof procedures with a detailed description of the encoding of cancellation in commutative monoids and of the kernel of a BDD package.

This work has been partially supported by the Deutsche Forschungsgemeinschaft (DFG) project Verifix and by the Deutscher Akademischer Austauschdienst (DAAD).

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Author notes

  1. Harald Rue\

    Present address: SRI International, USA

Authors and Affiliations

  1. FakultÄt für Informatik, UniversitÄt Ulm, D-89069, Ulm/Donau, Germany

    Friedrich W. von Henke, Stephan Pfab, Holger Pfeifer & Harald Rue\

Authors
  1. Friedrich W. von Henke
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  2. Stephan Pfab
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  3. Holger Pfeifer
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  4. Harald Rue\
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Correspondence to Harald Rue\ .

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Jim Grundy Malcolm Newey

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© 1998 Springer-Verlag Berlin Heidelberg

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von Henke, F.W., Pfab, S., Pfeifer, H., Rue\, H. (1998). Case studies in meta-level theorem proving. In: Grundy, J., Newey, M. (eds) Theorem Proving in Higher Order Logics. TPHOLs 1998. Lecture Notes in Computer Science, vol 1479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055152

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  • DOI: https://doi.org/10.1007/BFb0055152

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64987-8

  • Online ISBN: 978-3-540-49801-8

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