math.andrej.com
Homotopy type theory | Mathematics and Computation
http://math.andrej.com/category/homotopy-type-theory
Category Archives: Homotopy type theory. The real numbers in homotopy type theory (CCA 2016 slides). June 15, 2016. I am about to give an invited talk at the Computability and Complexity in Analysis 2016. Conference (yes, I am in the south of Portugal, surrounded by loud English tourists, but we. Working here, in a basement no less). Here are the slides, with extensive speaker notes, comment and questions are welcome. View all 6 comments. A HoTT PhD position in Ljubljana. November 22, 2014. The student w...
math.andrej.com
Software | Mathematics and Computation
http://math.andrej.com/category/software
November 7, 2015. My student Marko Koležnik. Is about to finish his Master’s degree in Mathematics at the University of Ljubljana. He implemented Agda Writer. A graphical user interface for the Agda proof assistant on the OS X platform. As he puts it, the main advantage of Agda Writer is. But the list of cool features is a bit longer:. It comes with preinstalled Agda so there is zero installation effort. Of course, you can use your own Agda as well). Clickable error messages and goals. View all 5 comments.
math.andrej.com
Eff | Mathematics and Computation
http://math.andrej.com/category/programming/eff
A HoTT PhD position in Ljubljana. November 22, 2014. I am looking for a PhD student in mathematics. Full tuition and stipend will be provided for a period of three years, which is also the official length of the programme. The topic of research is somewhat flexible and varies from constructive models of homotopy type theory to development of a programming language for a proof assistant based on dependent type theory, see the short summary of the Effmath project. For a more detailed description. So you wo...
math.andrej.com
The troublesome reflection rule (TYPES 2015 slides) | Mathematics and Computation
http://math.andrej.com/2015/05/19/the-troublesome-reflection-rule-types-2015-slides
The troublesome reflection rule (TYPES 2015 slides). May 19, 2015. Here are the slides of my TYPES 2015. Talk “The troublesome reflection rule” with fairly detailed presenter notes. The meeting is taking place in Tallinn, Estonia a very cool country in many senses (it’s not quite spring yet even though we’re in the second half of May, and it’s the country that gave us Skype). The troublesome reflection rule (TYPES 2015). Another PhD position in Ljubljana. Intermediate truth values →. May 21, 2015 at 21:31.
github.com
andrejbauer (Andrej Bauer) · GitHub
https://github.com/andrejbauer
X41;ndrej.Bauer@andrej.com. Mar 2, 2011. Homotopy theory in Coq. Real number computation software. A demonstration of Ocaml modules and functors for machine learning. A formalization of the Dedekind reals in Coq. 976 contributions in the last year. Summary of pull requests, issues opened, and commits. Learn how we count contributions. Andrejbauer has no activity during this period. You can't perform that action at this time. You signed in with another tab or window. Reload. To refresh your session.
math.andrej.com
Publications | Mathematics and Computation
http://math.andrej.com/category/papers
Research publications by Andrej Bauer. A Brown-Palsberg self-interpreter for Gödel’s System T. January 4, 2016. In a paper accepted at POPL 2016. Matt Brown and Jens Palsberg. Constructed a self-interpreter for System $F omega$, a strongly normalizing typed $ lambda$-calculus. This came as a bit of a surprise as it is “common knowledge” that total programming languages do not have self-interpreters. But only at an informal level. Can someone suggest a good definition? View all 10 comments. May 19, 2015.
math.andrej.com
General | Mathematics and Computation
http://math.andrej.com/category/general
General topics concerning constructive and computable mathematics. Postdoc position in Ljubljana. December 7, 2015. A postdoc position in the Effmath research project is available at the University of Ljubljana, Faculty of Mathematics and Physics. The precise topic is flexible, but should generally be aligned with the project (see project description. Reasoning about computational effects. Implementation of computational effects. Proof assistants and formalization of mathematics. August 5, 2015. A positi...
math.andrej.com
Provably considered harmful | Mathematics and Computation
http://math.andrej.com/2015/08/05/provably-considered-harmful
August 5, 2015. This is officially a rant and should be read as such. Here is my pet peeve: theoretical computer scientists misuse the word “provably”. Stop it. Stop it! But theoretical computer scientists say things like (I just googled these randomly) “A Provably Optimal Algorithm for Crowdsourcing”. And “A Provably Correct Learning Algorithm for Latent-Variable PCFGs”. And even “provably true”. So what is a “provably optimal algorithm”? I can think of several reasons:. Your paper is an intricate piece...
math.andrej.com
RZ | Mathematics and Computation
http://math.andrej.com/rz
Is a tool for automatic generation of program specifications from definitions of mathematical theories. It was written by Chris Stone. The purpose of RZ is to help programmers and mathematicians design data structures which properly implement mathematical structures (algebras, real numbers, Hilbert spaces, etc.). Source code and examples: rz.tar.gz. Browse the download directory. You may also browse RZ related blog posts. One thought on “ RZ. February 1, 2007 at 15:26. It can be automated!
golem.ph.utexas.edu
The HoTT Book | The n-Category Café
https://golem.ph.utexas.edu/category/2013/06/the_hott_book.html
The n-Category Café. A group blog on math, physics and philosophy. Skip to the Main Content. Skip to the content. These pages make extensive use of the latest XHTML and CSS Standards. They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently. Supported in Mozilla. My best suggestion (and you will. Xab; Quasicrystals and the Riemann Hypothesis.