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michaelt
martin-lof
TeX2019–2021
michaelt / martin-lof

martin-lof

papers of Per Martin Löf

Explore on GitHubRead Hacker News discussions
2Distinct people
4Mentions
0Explicit recommenders
836GitHub stars
REPOSITORY AT A GLANCE

What to know before exploring

What it is

papers of Per Martin Löf

GitHub

Where it is used

No documented product use has been verified yet.

What people are saying

No recommendation phrase was found in the indexed comments.

No classified warning is attached to this page. Read the discussions before treating silence as approval.

Also in these discussions

No other repository is repeatedly linked in the same discussions.

This week on Hacker News

Nov 7–Nov 14 UTC · Direct repository links and separately labeled related project stories. Indexed through 11/14/2026, 5:04:57 PM UTC.

No direct repository links were found in the indexed HN discussions over the past seven days. Older discussions are available below.

Mentions over time

HN mentions by month4 dated mentions

Observed mentions: 2019-07-12 16:39:19 UTC to 2021-11-17 06:15:52 UTC.

012019-07-01 00:00:00 UTC to 2019-08-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 commentsJul 20192019-08-01 00:00:00 UTC to 2019-09-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2019-09-01 00:00:00 UTC to 2019-10-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2019-10-01 00:00:00 UTC to 2019-11-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2019-11-01 00:00:00 UTC to 2019-12-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2019-12-01 00:00:00 UTC to 2020-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-01-01 00:00:00 UTC to 2020-02-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-02-01 00:00:00 UTC to 2020-03-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-03-01 00:00:00 UTC to 2020-04-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-04-01 00:00:00 UTC to 2020-05-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-05-01 00:00:00 UTC to 2020-06-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-06-01 00:00:00 UTC to 2020-07-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-07-01 00:00:00 UTC to 2020-08-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-08-01 00:00:00 UTC to 2020-09-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-09-01 00:00:00 UTC to 2020-10-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 commentsSep 20202020-10-01 00:00:00 UTC to 2020-11-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-11-01 00:00:00 UTC to 2020-12-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2020-12-01 00:00:00 UTC to 2021-01-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-01-01 00:00:00 UTC to 2021-02-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-02-01 00:00:00 UTC to 2021-03-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-03-01 00:00:00 UTC to 2021-04-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-04-01 00:00:00 UTC to 2021-05-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-05-01 00:00:00 UTC to 2021-06-01 00:00:00 UTC (exclusive): 1 mentions; 1 submissions, 0 comments2021-06-01 00:00:00 UTC to 2021-07-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-07-01 00:00:00 UTC to 2021-08-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-08-01 00:00:00 UTC to 2021-09-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-09-01 00:00:00 UTC to 2021-10-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 comments2021-10-01 00:00:00 UTC to 2021-11-01 00:00:00 UTC (exclusive): 0 mentions; 0 submissions, 0 comments2021-11-01 00:00:00 UTC to 2021-12-01 00:00:00 UTC (exclusive): 1 mentions; 0 submissions, 1 commentsNov 2021

Counts come from the repository’s dated source evidence. Index cutoff: 2026-11-02 08:16:59 UTC.

View mention counts and date ranges
UTC ranges include their start and exclude their end. Select a period to filter the source evidence.
PeriodStart (UTC)End (exclusive, UTC)MentionsSubmissionsComments
Jul 20192019-07-01 00:00:00 UTC2019-08-01 00:00:00 UTC101
Aug 20192019-08-01 00:00:00 UTC2019-09-01 00:00:00 UTC000
Sep 20192019-09-01 00:00:00 UTC2019-10-01 00:00:00 UTC000
Oct 20192019-10-01 00:00:00 UTC2019-11-01 00:00:00 UTC000
Nov 20192019-11-01 00:00:00 UTC2019-12-01 00:00:00 UTC000
Dec 20192019-12-01 00:00:00 UTC2020-01-01 00:00:00 UTC000
Jan 20202020-01-01 00:00:00 UTC2020-02-01 00:00:00 UTC000
Feb 20202020-02-01 00:00:00 UTC2020-03-01 00:00:00 UTC000
Mar 20202020-03-01 00:00:00 UTC2020-04-01 00:00:00 UTC000
Apr 20202020-04-01 00:00:00 UTC2020-05-01 00:00:00 UTC000
May 20202020-05-01 00:00:00 UTC2020-06-01 00:00:00 UTC000
Jun 20202020-06-01 00:00:00 UTC2020-07-01 00:00:00 UTC000
Jul 20202020-07-01 00:00:00 UTC2020-08-01 00:00:00 UTC000
Aug 20202020-08-01 00:00:00 UTC2020-09-01 00:00:00 UTC000
Sep 20202020-09-01 00:00:00 UTC2020-10-01 00:00:00 UTC000
Oct 20202020-10-01 00:00:00 UTC2020-11-01 00:00:00 UTC000
Nov 20202020-11-01 00:00:00 UTC2020-12-01 00:00:00 UTC000
Dec 20202020-12-01 00:00:00 UTC2021-01-01 00:00:00 UTC000
Jan 20212021-01-01 00:00:00 UTC2021-02-01 00:00:00 UTC000
Feb 20212021-02-01 00:00:00 UTC2021-03-01 00:00:00 UTC000
Mar 20212021-03-01 00:00:00 UTC2021-04-01 00:00:00 UTC000
Apr 20212021-04-01 00:00:00 UTC2021-05-01 00:00:00 UTC000
May 20212021-05-01 00:00:00 UTC2021-06-01 00:00:00 UTC110
Jun 20212021-06-01 00:00:00 UTC2021-07-01 00:00:00 UTC000
Jul 20212021-07-01 00:00:00 UTC2021-08-01 00:00:00 UTC000
Aug 20212021-08-01 00:00:00 UTC2021-09-01 00:00:00 UTC000
Sep 20212021-09-01 00:00:00 UTC2021-10-01 00:00:00 UTC101
Oct 20212021-10-01 00:00:00 UTC2021-11-01 00:00:00 UTC000
Nov 20212021-11-01 00:00:00 UTC2021-12-01 00:00:00 UTC101

What Hacker News says

4 sources
natded·Nov 17, 2021
Linear Types are fairly new thing, you can read about them in constructivist logic (under the subset of 'linear logic', or 'resource-aware logic' or from newer type theory stuff under 'linear types'). I would recommend reading Harper's PFPL: https://www.cs.cmu.edu/~rwh/pfpl.html OPLSS also has lots of videos about programming language theory and application, and the 2021 has a lecture series from Harper, introducing the topic: https://www.cs.uoregon.edu/research/summerschool/summer21/to... Couple resources I've used for type theory: - https://www.andrew.cmu.edu/course/15-312/schedule.html - http://cs.brown.edu/courses/cs173/2012/book/ - https://web2.qatar.cmu.edu/cs/15312/#schedule - https://www.cs.cornell.edu/courses/cs4110/2020fa/schedule.ht... - https://www.cs.cornell.edu/courses/cs6110/2019sp/schedule.ht... - https://student.cs.uwater
Read the rest
loo.ca/~cs442/W21/notes/ More technical introductions to type theory: - with AGDA: plfa.github.io - with COQ: https://softwarefoundations.cis.upenn.edu - with Lean: https://leanprover.github.io/theorem_proving_in_lean4/title_... Constructivist Logic - https://symbolaris.com/course/constlog-schedule.html - https://github.com/michaelt/martin-lof - Recommend starting with the 1983 paper on logical constants.
In Multicore OCaml: October 2021
AnthonBerg·Sep 13, 2021
Well put. I see it too. Indeed it is epiousios to see the spiritual essence “over nature” (supra-natural / super-natural). The inner, spiritual world that we can witness in our witnessing of nature. Martin-Löf comes to mind: https://github.com/michaelt/martin-lof/blob/master/pdfs/A-pa... (It’s funny and beautiful that we’re now building all the most interesting programming languages on top of Martin-Löf’s intuitionistic type theory. – At least in my opinion.) It is epiousios to use the word “daily” as a translation of “epiousios”. Isn’t it also a common pattern in religious texts the metaphor that the soul is a light? – and the first light man knew certainly was the light of day. As well as metaphors like a life being like a year with its seasons and its finality? And a life like a day? And indeed metaphor is itself epiousios. Bread is me
Read the rest
taphor. Metaphor can certainly be spiritual sustenance. And indeed the prayer itself is exactly that. Or rather, it isn’t, but it can be seen that way. Or rather, it can’t actually be seen that way, but we can certainly find beauty in interpreting it that way. From a beautiful, beautiful paper on the substrate of human cooperation – neural mechanisms, namely in the prefrontal cortex: Zoh, Y., Chang, S.W.C. & Crockett, M.J.: The prefrontal cortex and (uniquely) human cooperation: a comparative perspective. ACNP journal Neuropsychopharmacology* (2021). https://www.nature.com/articles/s41386-021-01092-5 / https://doi.org/10.1038/s41386-021-01092-5 ‘Relative to other species, humans have an exceptional ability to cooperate—we are willing to incur personal costs to benefit others, including strangers, and people who we will never meet again. These abilities are thought to arise from complex systems of shared moral intuitions about what is “right” or “good” that are culturally transmitted across space and time.’ Along with such things as comfort, solace, hope, and understanding. In the form of metaphor. Shared metaphor. Our shared, daily, divine, epiousios bread. If we choose to receive it that way. Supplementary content: https://twitter.com/kristleifur/status/1429177064205258758?s...
In Epiousios
AnthonBerg·Jul 12, 2019
Per Martin-Löf writes so beautifully. Here’s more: https://github.com/michaelt/martin-lof Here’s another one - this one is wonderful: https://archive-pml.github.io/martin-lof/pdfs/Bibliopolis-Bo... As far as I understand the theory, then dependently typed languages such as Idris have their roots in his work on intuitionistic type theory: https://en.wikipedia.org/wiki/Intuitionistic_type_theory Intuitionism in math is beautiful imo: https://en.wikipedia.org/wiki/Intuitionism
In Constructive mathematics and computer programming (1979) [pdf]

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