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International Conference on Logic for Programming Artificial Intelligence and Reasoning

LPAR 2013: Logic for Programming, Artificial Intelligence, and Reasoning pp 389–406Cite as

Proof-Pattern Recognition and Lemma Discovery in ACL2

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8312))

Abstract

We present a novel technique for combining statistical machine learning for proof-pattern recognition with symbolic methods for lemma discovery. The resulting tool, ACL2(ml), gathers proof statistics and uses statistical pattern-recognition to pre-processes data from libraries, and then suggests auxiliary lemmas in new proofs by analogy with already seen examples. This paper presents the implementation of ACL2(ml) alongside theoretical descriptions of the proof-pattern recognition and lemma discovery methods involved in it.

The work was supported by EPSRC grants EP/J014222/11, EP/H024204/13 and a VINNMER Marie Curie Fellowship2.

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Author information

Authors and Affiliations

  1. School of Computing, University of Dundee, UK

    Jónathan Heras & Ekaterina Komendantskaya

  2. Dept. of Computer Science and Engineering, Chalmers University, Sweden

    Moa Johansson

  3. School of Informatics, University of Edinburgh, UK

    Ewen Maclean

Authors
  1. Jónathan Heras
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  2. Ekaterina Komendantskaya
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  3. Moa Johansson
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  4. Ewen Maclean
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Editor information

Editors and Affiliations

  1. Microsoft Research, Redmond, WA, USA

    Ken McMillan

  2. University of Innsbruck, Austria

    Aart Middeldorp

  3. University of Manchester, UK

    Andrei Voronkov

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Heras, J., Komendantskaya, E., Johansson, M., Maclean, E. (2013). Proof-Pattern Recognition and Lemma Discovery in ACL2. In: McMillan, K., Middeldorp, A., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2013. Lecture Notes in Computer Science, vol 8312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45221-5_27

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  • DOI: https://doi.org/10.1007/978-3-642-45221-5_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45220-8

  • Online ISBN: 978-3-642-45221-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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