I finally got around to update IsarMathLib to Isabelle2016-1 that was released in December last year. This was a quite time consuming update. The Isabelle system integrates LaTeX to be able to typeset well looking document proofs. This indeed works well – when it does. When there is a problem though it requires LaTeX specific knowledge or long time to fix. This is what happened this time. The Isabelle team removed an element of its LaTeX setup that was obsoleted a couple of releases ago. They provided a script that was supposed to make necessary changes to theory files, but in my case running it on IsarMathLib’s 78 theory files just caused the errors to multiply. Fortunately Isabelle distribution sources provide lots of examples how LaTeX should be currently set up. After struggling for some time to understand the errors scattered over a 10MB log file I just created the IsarMathLib LaTeX setup from scratch following the examples and it worked. The IsarMathLib’s proof document and outline look better than ever.
Posts Tagged ‘IsarMathLib releases’
In other news, back in October 2015 Daniel De La Concepción, an IsarMathLib contributor, published an informal version of some of his contributions in a paper titled “New equivalences to axioms weaker than AC in topology”.
I have released version 1.9.0 of IsarMathLib. This is a quite large release with 10 new theory files and 155 new theorems, all contributed by Daniel de la Concepción Sáez. The first of the files contributed by Daniel (released in 1.8.0), Topology_ZF_4 about nets, filters and convergence in topological spaces is now presented on the isarmathlib.org site. The rest of Daniel’s contributions for now can be viewed in the proof document and the outline.
Here is a short description of what is in the new theories:
I have released the 1.8.0 version of IsarMathLib. This version works with the new Isabelle2013 (released about two weeks ago). The new material in this release mostly comes from contributions by Daniel de la Concepción Sáez, who added 5 theory files with about a hundred theorems about general topology. The subjects range from convergence of nets and filters and related continuity properties of functions, through some generalized notions of compactness and connectedness, to rather abstract (like, category theory abstract) subjects of heredity and spectra of topological properties. Unfortunately, it will take some time before those theories will be presented on the FormalMath.org site, as my parser is not good enough to parse Daniel’s advanced Isar style. I will work on this though and in the meantime an interested reader can have a look at the Isabelle generated full proof document or the outline.
As for myself, I have finished the proof that the function is continuous in the natural topology on the space of -element sequences of a topological group.
Here, is the collection of neighborhoods of zero (sets whose interior contains the neutral element of the group), and for two sets we define as .
I have released a new version of IsarMathLib. There are about 20 new theorems and a new theory on topological groups. The theory contains some basic definitions and notation and ends with a theorem that a subgroup of a topological group is a topological group.
This release includes the new HTML rendering tool that replaces tiddlyisar (which still compiles and works ). I updated all IsarMathLib theories that were not fully updated for Isabelle 2008 removing legacy keywords like constdefs and prems and added missing comments. As a result all IsarMathLib theories except those translated from Metamath are now presented at the FormalMath.org site.
There is no new formalized mathematics in this release.
Isabelle developers released 2008 version a couple of weeks ago, so I updated IsarMathLib to work with the new version. The update was very easy this time. The only change I had to make was to rename a couple of theory files as standard Isabelle theories were renamed and the new names were identical to some IsarMathLib’s theories.
Isabelle stopped tolerating repeated names of theorems. A a result the new Isabelle found a couple of places in the theories containing facts translated from Metamath where I did the same work twice. Translation was a tedious and a bit mind-dumbing work. The translation tool was doing about 99% of it, but the remaining part was still enough to make me do the same thing a couple of times and not notice. I decided to remove the translation tool from IsarMathLib distribution and replace it with the source for the TiddlyWiki rendering tool. It still requires a lot of work, but it can parse and convert to TiddlyWiki markup 15 out of 47 IsarMathLib theories.