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ML Pattern-Matching, Recursion, and Rewriting: From FoCaLiZe to Dedukti

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Theoretical Aspects of Computing – ICTAC 2016 (ICTAC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9965))

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Abstract

The programming environment FoCaLiZe allows the user to specify, implement, and prove programs with the help of the theorem prover Zenon. In the actual version, those proofs are verified by Coq. In this paper we propose to extend the FoCaLiZe compiler by a backend to the Dedukti language in order to benefit from Zenon Modulo, an extension of Zenon for Deduction modulo. By doing so, FoCaLiZe can benefit from a technique for finding and verifying proofs more quickly. The paper focuses mainly on the process that overcomes the lack of local pattern-matching and recursive definitions in Dedukti.

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Notes

  1. 1.

    This work is available at http://deducteam.gforge.inria.fr/focalide.

  2. 2.

    The files can be obtained from http://deducteam.inria.fr/focalide.

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Acknowledgements

This work has been partially supported by the BWare project (ANR-12-INSE-0010) funded by the INS programme of the French National Research Agency (ANR).

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Authors and Affiliations

  1. Inria - Saclay and Cnam - Cedric, Paris, France

    Raphaël Cauderlier

  2. ENSIIE - Cedric and Samovar, Évry, France

    Catherine Dubois

Authors
  1. Raphaël Cauderlier
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  2. Catherine Dubois
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Corresponding author

Correspondence to Catherine Dubois .

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Editors and Affiliations

  1. Universidade Federal de Pernambuco Centro de Informática, Recife, Pernambuco, Brazil

    Augusto Sampaio

  2. Deptartment of Electrical Engineering BL, National Taiwan University, Taipei, Taiwan

    Farn Wang

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Cauderlier, R., Dubois, C. (2016). ML Pattern-Matching, Recursion, and Rewriting: From FoCaLiZe to Dedukti. In: Sampaio, A., Wang, F. (eds) Theoretical Aspects of Computing – ICTAC 2016. ICTAC 2016. Lecture Notes in Computer Science(), vol 9965. Springer, Cham. https://doi.org/10.1007/978-3-319-46750-4_26

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  • DOI: https://doi.org/10.1007/978-3-319-46750-4_26

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  • Print ISBN: 978-3-319-46749-8

  • Online ISBN: 978-3-319-46750-4

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