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adding bibliography entries in Confluence chapter #907

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Sep 11, 2023
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adding bibliography entries in Confluence chapter #907

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adding bibliography entries
jsiek Sep 7, 2023
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39 changes: 39 additions & 0 deletions data/bibliography.bib
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Expand Up @@ -107,3 +107,42 @@ @book{Rocca:2004
publisher = {Springer},
title = {The Parametric Lambda Calculus},
year = {2004}}

@inproceedings{Schafer:2015,
title={Autosubst: Reasoning with de Bruijn terms and parallel substitutions},
author={Sch{\"a}fer, Steven and Tebbi, Tobias and Smolka, Gert},
booktitle={Interactive Theorem Proving: 6th International Conference, ITP 2015, Nanjing, China, August 24-27, 2015, Proceedings 6},
pages={359--374},
year={2015},
organization={Springer}
}

@techreport{Pfenning:1992,
author = {Pfenning, Frank},
institution = {Carnegie Mellon University},
number = {CMU-CS-92-186},
publisher = {Carnegie Mellon University},
title = {A Proof of the Church-Rosser Theorem and Its Representation in a Logical Framework},
year = {1992}}

@article{Takahashi:1995,
title = {Parallel Reductions in λ-Calculus},
journal = {Information and Computation},
volume = {118},
number = {1},
pages = {120-127},
year = {1995},
doi = {https://doi.org/10.1006/inco.1995.1057},
author = {M. Takahashi}}

@inproceedings{Nipkow:1996,
author = {Nipkow, Tobias},
title = {More Church-Rosser Proofs (in Isabelle/HOL)},
year = {1996},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
booktitle = {Proceedings of the 13th International Conference on Automated Deduction: Automated Deduction},
pages = {733–747},
numpages = {15},
series = {CADE-13}
}
8 changes: 4 additions & 4 deletions src/plfa/part2/Confluence.lagda.md
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Expand Up @@ -608,13 +608,13 @@ confluence L↠M₁ L↠M₂
## Notes

This mechanized proof of confluence is based on several sources. The
`subst-par` lemma is the "strong substitutivity" lemma of Shafer,
Tebbi, and Smolka (ITP 2015). The proofs of `par-triangle`, `strip`,
`subst-par` lemma is the "strong substitutivity" lemma of
@Schafer:2015. The proofs of `par-triangle`, `strip`,
and `par-confluence` are based on the notion of complete development
by Takahashi (1995) and Pfenning's 1992 technical report about the
by @Takahashi:1995 and the technical report by @Pfenning:1992 about the
Church-Rosser theorem. In addition, we consulted Nipkow and
Berghofer's mechanization in Isabelle, which is based on an earlier
article by Nipkow (JAR 1996).
paper by @Nipkow:1996.

## Unicode

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