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Deriving Modular Programs from Short Proofs

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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

We present a polynomial translation of dag sequent proofs into tree sequent proofs for first-order classical and intuitionistic logic. The basic idea is to interpret a reference in a dag proof as a lemma application, which is then simulated using an application of the cut rule. The result of this translation is a tree proof with cuts, which are only applied in order to “factorize” identical subproofs. We illustrate a central application of the presented cut-based translation, that is automated extraction of modular programs from first-order intuitionistic proofs.

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Author information

Authors and Affiliations

  1. Institut für Informationssysteme 184/3, TU Wien, Favoritenstr. 9-11, A-1040, Wien, Austria

    Uwe Egly

  2. Department of Sciences and Engineering, Saint Louis University, Madrid Campus, Avd. del Valle 34, 28003, Madrid, Spain

    Stephan Schmitt

Authors
  1. Uwe Egly
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  2. Stephan Schmitt
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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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Egly, U., Schmitt, S. (2001). Deriving Modular Programs from Short Proofs. 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_47

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  • DOI: https://doi.org/10.1007/3-540-45744-5_47

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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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