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Commit dcebca5c authored by Lukas Stevens's avatar Lukas Stevens
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Extend entry Szpilrajn

parent 46026e61801e
......@@ -9049,15 +9049,19 @@ abstract =
Mathematical Logic for Computer Science.
 
[Szpilrajn]
title = Szpilrajn Extension Theorem
author = Peter Zeller <mailto:p_zeller@cs.uni-kl.de>
title = Order Extension and Szpilrajn's Extension Theorem
author = Peter Zeller <mailto:p_zeller@cs.uni-kl.de>, Lukas Stevens <https://www21.in.tum.de/team/stevensl>
topic = Mathematics/Order
date = 2019-07-27
notify = p_zeller@cs.uni-kl.de
abstract =
We formalize the Szpilrajn extension theorem, also known as
order-extension principal: Every strict partial order can be extended
to a strict linear order.
This entry is concerned with the principle of order extension, i.e. the extension of an order relation to a total order relation.
To this end, we prove a more general version of Szpilrajn's extension theorem employing terminology from the book "Consistency, Choice, and Rationality" by Bossert and Suzumura.
We also formalize theorem 2.7 of their book.
extra-history =
Change history:
[2021-03-22]:
(by Lukas Stevens) generalise Szpilrajn's extension theorem and add material from the book "Consistency, Choice, and Rationality"
 
[TESL_Language]
title = A Formal Development of a Polychronous Polytimed Coordination Language
......
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......@@ -31,3 +31,12 @@
year = 1930
}
@book{Bossert:2010,
ISBN = {9780674052994},
author = {Walter Bossert and Kotaro Suzumura},
title = {Consistency, Choice, and Rationality},
doi = {https://doi.org/10.2307/j.ctvjhzq9s},
publisher = {Harvard University Press},
year = {2010}
}
......@@ -14,7 +14,7 @@
\begin{document}
\title{Szpilrajn Extension Theorem}
\author{Peter Zeller}
\author{Peter Zeller and Lukas Stevens}
\maketitle
......
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