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A Formal Correspondence Between OMDoc with Alternative Proofs and the \({\overline{\lambda}\mu\tilde{\mu}}\)-Calculus

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Mathematical Knowledge Management (MKM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4108))

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Abstract

We consider an extension of OMDoc proofs with alternative sub-proofs and proofs at different level of detail, and an affine non-deterministic fragment of the \({\overline{\lambda}\mu\tilde{\mu}}\)-calculus seen as a proof format. We provide explanations in pseudo-natural language of proofs in both formats, and a formal correspondence between the two by means of two mutually inverse encodings of one format in the other one.

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References

  1. Autexier, S., Benzmüller, C., Dietrich, D., Meier, A., Wirth, C.: A Generic Modular Data Structure for Proof Attempts Alternating on Ideas and Granularity. In: Kohlhase, M. (ed.) MKM 2005. LNCS (LNAI), vol. 3863, Springer, Heidelberg (2006)

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© 2006 Springer-Verlag Berlin Heidelberg

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Autexier, S., Sacerdoti-Coen, C. (2006). A Formal Correspondence Between OMDoc with Alternative Proofs and the \({\overline{\lambda}\mu\tilde{\mu}}\)-Calculus. In: Borwein, J.M., Farmer, W.M. (eds) Mathematical Knowledge Management. MKM 2006. Lecture Notes in Computer Science(), vol 4108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11812289_7

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  • DOI: https://doi.org/10.1007/11812289_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37104-5

  • Online ISBN: 978-3-540-37106-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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