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added two more refs and run bibtool
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faenuccio committed Feb 4, 2024
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Expand Up @@ -192,6 +192,25 @@ @Article{ BaanenDahmenNarayananNuccio22
tags = {formalization, lean3}
}

@Article{ BaanenDahmenNarayananNuccio22,
author = {Baanen, Anne and Dahmen, Sander R. and Narayanan, Ashvni
and N{uccio Mortarino Majno di Capriglio}, Filippo A. E.},
title = {A formalization of {D}edekind domains and class groups of
global fields},
journal = {J. Automat. Reason.},
fjournal = {Journal of Automated Reasoning},
volume = {66},
year = {2022},
number = {4},
pages = {611--637},
issn = {0168-7433,1573-0670},
mrclass = {03B35 (11R29 13C20)},
mrnumber = {4505023},
doi = {10.1007/s10817-022-09644-0},
url = {https://doi.org/10.1007/s10817-022-09644-0},
tags = {formalization, lean3}
}

@Booklet{ Best2021,
author = {Alexander Best},
title = {Automatically Generalizing Theorems Using Typeclasses},
Expand Down Expand Up @@ -453,6 +472,43 @@ @InProceedings{ deFrutos23
tags = {formalization, lean3}
}

@InProceedings{ deFrutosNuccio24,
author = {de Frutos-Fern\'{a}ndez, Mar\'{\i}a In\'{e}s and N{uccio
Mortarino Majno di Capriglio, Filippo A. E.}},
title = {A Formalization of Complete Discrete Valuation Rings and
Local Fields},
year = {2024},
isbn = {9798400704888},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3636501.3636942},
doi = {10.1145/3636501.3636942},
abstract = {Local fields, and fields complete with respect to a
discrete valuation, are essential objects in commutative
algebra, with applications to number theory and algebraic
geometry. We formalize in Lean the basic theory of
discretely valued fields. In particular, we prove that the
unit ball with respect to a discrete valuation on a field
is a discrete valuation ring and, conversely, that the adic
valuation on the field of fractions of a discrete valuation
ring is discrete. We define finite extensions of valuations
and of discrete valuation rings, and prove some
localization results. Building on this general theory, we
formalize the abstract definition and some fundamental
properties of local fields. As an application, we show that
finite extensions of the field ℚp of p-adic numbers and
of the field Fp((X)) of Laurent series over Fp are local
fields.},
booktitle = {Proceedings of the 13th ACM SIGPLAN International
Conference on Certified Programs and Proofs},
pages = {190–204},
numpages = {15},
keywords = {mathlib, local fields, formal mathematics, discrete
valuation rings, algebraic number theory, Lean},
series = {CPP 2024},
tags = {formalization, lean3}
}

@InProceedings{ deFrutosNuccio24,
author = {de Frutos-Fern\'{a}ndez, Mar\'{\i}a In\'{e}s and N{uccio
Mortarino Majno di Capriglio, Filippo A. E.}},
Expand Down

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