Commit b77db792 authored by Lawrence Paulson's avatar Lawrence Paulson
Browse files

webpage for Delta_System_Lemma

parent 89ed1831f6cd
......@@ -9593,6 +9593,19 @@ abstract =
transitive model of ZFC, we construct a proper generic extension and
show that the latter also satisfies ZFC.
 
[Delta_System_Lemma]
title = Cofinality and the Delta System Lemma
author = Pedro Sánchez Terraf <https://cs.famaf.unc.edu.ar/~pedro/home_en.html>
topic = Mathematics/Combinatorics, Logic/Set theory
date = 2020-12-27
notify = sterraf@famaf.unc.edu.ar
abstract =
We formalize the basic results on cofinality of linearly ordered sets
and ordinals and Šanin’s Lemma for uncountable families of finite
sets. This last result is used to prove the countable chain condition
for Cohen posets. We work in the set theory framework of Isabelle/ZF,
using the Axiom of Choice as needed.
[Recursion-Addition]
title = Recursion Theorem in ZF
author = Georgy Dunaev <mailto:georgedunaev@gmail.com>
......@@ -9960,7 +9973,7 @@ author = Walter Guttmann <http://www.cosc.canterbury.ac.nz/walter.guttmann/>, Ni
topic = Computer science/Algorithms/Graph
date = 2020-12-08
notify = walter.guttmann@canterbury.ac.nz
abstract =
abstract =
We verify the correctness of Prim's, Kruskal's and
Borůvka's minimum spanning tree algorithms based on algebras for
aggregation and minimisation.
......@@ -9971,7 +9984,7 @@ author = David Fuenmayor <mailto:davfuenmayor@gmail.com>
topic = Logic/General logic
date = 2020-12-17
notify = davfuenmayor@gmail.com
abstract =
abstract =
We introduce a generalized topological semantics for paraconsistent
and paracomplete logics by drawing upon early works on topological
Boolean algebras (cf. works by Kuratowski, Zarycki, McKinsey &
......
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<h1> <font class="first">C</font>ofinality
and
the
<font class="first">D</font>elta
<font class="first">S</font>ystem
<font class="first">L</font>emma
</h1>
<p>&nbsp;</p>
<table width="80%" class="data">
<tbody>
<tr>
<td class="datahead" width="20%">Title:</td>
<td class="data" width="80%">Cofinality and the Delta System Lemma</td>
</tr>
<tr>
<td class="datahead">
Author:
</td>
<td class="data">
<a href="https://cs.famaf.unc.edu.ar/~pedro/home_en.html">Pedro Sánchez Terraf</a>
</td>
</tr>
<tr>
<td class="datahead">Submission date:</td>
<td class="data">2020-12-27</td>
</tr>
<tr>
<td class="datahead" valign="top">Abstract:</td>
<td class="abstract mathjax_process">
We formalize the basic results on cofinality of linearly ordered sets
and ordinals and Šanin’s Lemma for uncountable families of finite
sets. This last result is used to prove the countable chain condition
for Cohen posets. We work in the set theory framework of Isabelle/ZF,
using the Axiom of Choice as needed.</td>
</tr>
<tr>
<td class="datahead" valign="top">BibTeX:</td>
<td class="formatted">
<pre>@article{Delta_System_Lemma-AFP,
author = {Pedro Sánchez Terraf},
title = {Cofinality and the Delta System Lemma},
journal = {Archive of Formal Proofs},
month = dec,
year = 2020,
note = {\url{https://isa-afp.org/entries/Delta_System_Lemma.html},
Formal proof development},
ISSN = {2150-914x},
}</pre>
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<a href="../browser_info/current/AFP/Delta_System_Lemma/outline.pdf">Proof outline</a><br>
<a href="../browser_info/current/AFP/Delta_System_Lemma/document.pdf">Proof document</a>
</td>
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\ No newline at end of file
......@@ -101,7 +101,7 @@ MathJax = {
<td class="data">
Emmanuel Gunther (gunther /at/ famaf /dot/ unc /dot/ edu /dot/ ar),
<a href="https://cs.famaf.unc.edu.ar/~mpagano/">Miguel Pagano</a> and
<a href="https://cs.famaf.unc.edu.ar/~pedro/home_en">Pedro Sánchez Terraf</a>
<a href="https://cs.famaf.unc.edu.ar/~pedro/home_en.html">Pedro Sánchez Terraf</a>
</td>
</tr>
......
......@@ -88,6 +88,14 @@ of a scientific journal, is indexed by <a href="http://dblp.uni-trier.de/db/jour
<tr>
<td class="head">2020</td>
</tr>
<tr>
<td class="entry">
2020-12-27: <a href="entries/Delta_System_Lemma.html">Cofinality and the Delta System Lemma</a>
<br>
Author:
<a href="https://cs.famaf.unc.edu.ar/~pedro/home_en.html">Pedro Sánchez Terraf</a>
</td>
</tr>
<tr>
<td class="entry">
2020-12-17: <a href="entries/Topological_Semantics.html">Topological semantics for paraconsistent and paracomplete logics</a>
......@@ -385,7 +393,7 @@ of a scientific journal, is indexed by <a href="http://dblp.uni-trier.de/db/jour
Authors:
Emmanuel Gunther,
<a href="https://cs.famaf.unc.edu.ar/~mpagano/">Miguel Pagano</a>
and <a href="https://cs.famaf.unc.edu.ar/~pedro/home_en">Pedro Sánchez Terraf</a>
and <a href="https://cs.famaf.unc.edu.ar/~pedro/home_en.html">Pedro Sánchez Terraf</a>
</td>
</tr>
<tr>
......
......@@ -9,7 +9,20 @@
and larger scientific developments, mechanically checked
in the theorem prover Isabelle.
</description>
<pubDate>17 Dec 2020 00:00:00 +0000</pubDate>
<pubDate>27 Dec 2020 00:00:00 +0000</pubDate>
<item>
<title>Cofinality and the Delta System Lemma</title>
<link>https://www.isa-afp.org/entries/Delta_System_Lemma.html</link>
<guid>https://www.isa-afp.org/entries/Delta_System_Lemma.html</guid>
<dc:creator> Pedro Sánchez Terraf </dc:creator>
<pubDate>27 Dec 2020 00:00:00 +0000</pubDate>
<description>
We formalize the basic results on cofinality of linearly ordered sets
and ordinals and Šanin’s Lemma for uncountable families of finite
sets. This last result is used to prove the countable chain condition
for Cohen posets. We work in the set theory framework of Isabelle/ZF,
using the Axiom of Choice as needed.</description>
</item>
<item>
<title>Topological semantics for paraconsistent and paracomplete logics</title>
<link>https://www.isa-afp.org/entries/Topological_Semantics.html</link>
......@@ -579,18 +592,5 @@ infinite sets of finite sets (or lists) subject to a “no initial
segment” condition. The present formalisation follows a
monograph on Ramsey Spaces by Todorčević.</description>
</item>
<item>
<title>A Formalization of Knuth–Bendix Orders</title>
<link>https://www.isa-afp.org/entries/Knuth_Bendix_Order.html</link>
<guid>https://www.isa-afp.org/entries/Knuth_Bendix_Order.html</guid>
<dc:creator> Christian Sternagel, René Thiemann </dc:creator>
<pubDate>13 May 2020 00:00:00 +0000</pubDate>
<description>
We define a generalized version of Knuth&amp;ndash;Bendix orders,
including subterm coefficient functions. For these orders we formalize
several properties such as strong normalization, the subterm property,
closure properties under substitutions and contexts, as well as ground
totality.</description>
</item>
</channel>
</rss>
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......@@ -570,6 +570,7 @@
<a href="entries/HereditarilyFinite.html">HereditarilyFinite</a> &nbsp;
<a href="entries/ZFC_in_HOL.html">ZFC_in_HOL</a> &nbsp;
<a href="entries/Forcing.html">Forcing</a> &nbsp;
<a href="entries/Delta_System_Lemma.html">Delta_System_Lemma</a> &nbsp;
<a href="entries/Recursion-Addition.html">Recursion-Addition</a> &nbsp;
<a href="entries/Ordinal_Partitions.html">Ordinal_Partitions</a> &nbsp;
</div>
......@@ -866,6 +867,7 @@
<a href="entries/Catalan_Numbers.html">Catalan_Numbers</a> &nbsp;
<a href="entries/Falling_Factorial_Sum.html">Falling_Factorial_Sum</a> &nbsp;
<a href="entries/Matroids.html">Matroids</a> &nbsp;
<a href="entries/Delta_System_Lemma.html">Delta_System_Lemma</a> &nbsp;
<a href="entries/Nash_Williams.html">Nash_Williams</a> &nbsp;
<a href="entries/Ordinal_Partitions.html">Ordinal_Partitions</a> &nbsp;
</div>
......
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