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Encoding Agda Programs Using Rewriting

Author Guillaume Genestier



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Author Details

Guillaume Genestier
  • Université Paris-Saclay, ENS Paris-Saclay, Inria, CNRS, LSV, France
  • MINES ParisTech, PSL University, France

Acknowledgements

I am grateful to Jesper Cockx and Andreas Abel, who received me in Chalmers and helped me to find my way in the hostile jungle the Agda implementation would have been without their help. Then I would like to thank Frédéric Blanqui, Olivier Hermant, Kostia Chardonnet and the anonymous reviewers for their thorough comments, both on the form and content of this article, which greatly improved its quality.

Cite AsGet BibTex

Guillaume Genestier. Encoding Agda Programs Using Rewriting. In 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 167, pp. 31:1-31:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.FSCD.2020.31

Abstract

We present in this paper an encoding in an extension with rewriting of the Edimburgh Logical Framework (LF) [Harper et al., 1993] of two common features: universe polymorphism and eta-convertibility. This encoding is at the root of the translator between Agda and Dedukti developped by the author.

Subject Classification

ACM Subject Classification
  • Theory of computation → Equational logic and rewriting
  • Theory of computation → Type theory
Keywords
  • Logical Frameworks
  • Rewriting
  • Universe Polymorphism
  • Eta Conversion

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References

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