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QA9 | Exploring the Computational Logic Literature | queuea9.wordpress.com Reviews
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Exploring the Computational Logic Literature
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The perils of predicativity and its opposite | QA9
https://queuea9.wordpress.com/2015/04/21/the-perils-of-predicativity-and-its-opposite
Exploring the Computational Logic Literature. The perils of predicativity and its opposite. April 21, 2015 – 7:55 pm. Posted in Type Theory. Forget squabbles over comment characters (I do think I prefer Haskell/Agda’s now over OCaml’s — sorry! This is why in Luo’s Extended Calculus of Constructions. ECC), which is part of the type theory of Coq, only the base level of the universe hierarchy is impredicative, and the other levels are predicative. And that these datatypes are the reason that Coq enforces s...
The square root of two proof | QA9
https://queuea9.wordpress.com/2015/01/27/the-square-root-of-two-proof
Exploring the Computational Logic Literature. The square root of two proof. January 27, 2015 – 4:11 pm. Most QA9 readers will know the nonconstructive proof that there are two irrational numbers a and b such that a to the power b is rational. There is interesting discussion about this here. I recently came across a 2014 note by Roger Hindley. It’s a Math tweet from 1953. Laquo; Complete partial order of Herbrand models. The perils of predicativity and its opposite. Leave a Reply Cancel reply. Create a fr...
Getting your Agda code to type-check faster | QA9
https://queuea9.wordpress.com/2015/07/01/getting-your-agda-code-to-type-check-faster
Exploring the Computational Logic Literature. Getting your Agda code to type-check faster. July 1, 2015 – 2:04 pm. As I, like many others of good will and high aspiration, battle the POPL ’16 submission deadline, I feel compelled to write a quick post about how to get your Agda code through the type-checker faster. For my submission fight, I have got about 3000 lines of Agda that is intended to be compiled and executed (imagine! Argh Here are three things I did that seemed to help (YMMV, of course):.
QA9 | Exploring the Computational Logic Literature | Page 2
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Exploring the Computational Logic Literature. Getting your Agda code to type-check faster. July 1, 2015 – 2:04 pm. As I, like many others of good will and high aspiration, battle the POPL ’16 submission deadline, I feel compelled to write a quick post about how to get your Agda code through the type-checker faster. For my submission fight, I have got about 3000 lines of Agda that is intended to be compiled and executed (imagine! Argh Here are three things I did that seemed to help (YMMV, of course):.
Category list | QA9
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Exploring the Computational Logic Literature. This is a list of the categories I use, with brief explanations:. In the Light of Logic. 8212; posts about the book with this title, by Solomon Feferman. 8212; posts summarizing papers that I highly recommend. 8212; posts about different algorithmic methods for showing functions terminate in type theory. 8212; notes from workshops, conferences, and other meetings I attend. 8212; occasional posts on philosophy of logic or mathematics. Join 15 other followers.
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Semantic Domain: February 2015
http://semantic-domain.blogspot.com/2015_02_01_archive.html
Thursday, February 26, 2015. Midlands Graduate School 2015. Registration for the Midlands Graduate School. I'll be lecturing again this year on functional reactive programming, and am very much looking forward to meeting the participants. The Midlands Graduate School in the Foundations of Computing Science (MGS). This year's MGS is hosted by the Department of Computer Science. At the University of Sheffield. It will start on April 07 and finish on April 11. Roy Crole, Leicester. Jeremy Gibbons, Oxford.
Semantic Domain: January 2014
http://semantic-domain.blogspot.com/2014_01_01_archive.html
Saturday, January 25, 2014. I just attended the Off the Beaten Track. Workshop, which is a POPL workshop where people gather to offer their new, untested, and (ideally) radical ideas. Here are some quick and incomplete reactions. Chris Martens gave a talk,. Languages for Actions in Simulated Worlds. In which she described some of her ideas for using linear logic programming to model interactive fiction. Is a proof that the end of the story is derivable. Here are some thoughts I had about her talk:. In Ma...
Semantic Domain: FRP without Space Leaks
http://semantic-domain.blogspot.com/2015/07/higher-order-functional-reactive.html
Friday, July 31, 2015. FRP without Space Leaks. The dataflow engine I gave in my last post can be seen as an implementation of self-adjusting computation. In the style of Acar, Blelloch and Harper's original POPL 2002 paper. Since then, state of the art implementation techniques have improved a lot, so don't take my post as indicative of what modern libraries do.). Originally, I was one of those people, but that's no longer true: I think SAC and FRP are completely orthogonal. With an appropriate type dis...
Semantic Domain: March 2015
http://semantic-domain.blogspot.com/2015_03_01_archive.html
Tuesday, March 17, 2015. Abstract Binding Trees, an addendum. It struck me after the last post that it might be helpful to give an example using abstract binding trees in a more nontrivial way. The pure lambda calculus has a very simple binding structure, and pretty much anything you do will work out. So I decided to show how ABTs can be used to easily support a much more involved form of binding - namely, pattern matching. As is usual, we will need to introduce a signature module for the language. Bindi...
Semantic Domain: March 2014
http://semantic-domain.blogspot.com/2014_03_01_archive.html
Monday, March 24, 2014. Here is an incomplete selection of some good papers I'm currently reading:. Constructing Type Systems over an Operational Semantics. A Realizability Interpretation of Martin-Loef Type Theory. Simple, given the complexity of the type theories involved. Categorical Glueing and Logical Predicates for Models of Linear Logic. Parametric Polymorphism and Operational Equivalence. With double glueing, you again think of a type in as a set of values which make it up, and a set of continuat...
Semantic Domain: July 2014
http://semantic-domain.blogspot.com/2014_07_01_archive.html
Wednesday, July 9, 2014. Two Drafts on Dependent Types. I have two new draft papers to publicize. The first is a paper with Pierre Pradic and Nick Benton:. Integrating Linear and Dependent Types. Neelakantan R. Krishnaswami, Pierre Pradic, Nick Benton. The technical report with proofs. In this paper, we show how to integrate linear types with type dependency, by extending the linear/non-linear calculus of Benton to support type dependency. Mtac: A Monad for Typed Tactic Programming in Coq. Beta Ziliani, ...
Semantic Domain: December 2013
http://semantic-domain.blogspot.com/2013_12_01_archive.html
Friday, December 20, 2013. PhD Opportunities at the University of Birmingham. My university, the University of Birmingham. Is looking for applicants to the CS PhD program. I'm putting our advertisement on my blog, in case you (or your students, if you're a professor) are looking for a graduate program - well, we're looking for students! We invite applications for PhD study at the University of Birmingham. We are a group of (mostly) theoretical computer scientists who explore fundamental concepts in compu...
Semantic Domain: Abstract Binding Trees, an addendum
http://semantic-domain.blogspot.com/2015/03/abstract-binding-trees-addendum.html
Tuesday, March 17, 2015. Abstract Binding Trees, an addendum. It struck me after the last post that it might be helpful to give an example using abstract binding trees in a more nontrivial way. The pure lambda calculus has a very simple binding structure, and pretty much anything you do will work out. So I decided to show how ABTs can be used to easily support a much more involved form of binding - namely, pattern matching. As is usual, we will need to introduce a signature module for the language. Bindi...
Semantic Domain: November 2013
http://semantic-domain.blogspot.com/2013_11_01_archive.html
Thursday, November 7, 2013. Antimirov Derivatives for Regular Expressions. Are one of the shibboleths. Of functional programming: if you ask someone about implementing regular expressions, and you get back an answer involving derivatives of regular expressions, then you have almost surely identified a functional programmer. Then his theorem guarantees that the set of derivatives is finite. However, computing with derivatives up to equivalence is rather painful. Even computing equality and orderin...So fo...
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たとえば、 明日、正午頃に東京で震度５の地震が発生する と誰かが予言し、それが当たったとすると、多くの人々は、驚き、感心しますが、しかし、 明日、日本のどこかで震度１の地震が発生する と誰かが予言し、当たったとしても多くの人々はあまり感心しません。 また、我々は、たとえば、 大量の情報が漏れる 、 不確かな情報に依ると 、 情報の公開 等、日常の生活において 情報 という言葉を毎日耳にしています。 情報 の不確定さ、大きさ、価値などをどのように情報量として測り、 情報 をどのように数理表現し、そして、 情報 をいかに数理的に分析するのかが情報科学であります。 加えて、情報科学は、自然科学、社会科学、人間科学などの各分野における、現象、システムの種々の 情報 に関わる問題を定式化し、現象、システムの仮説 あるいは、モデル、原理 を数理的に作成し、 情報、情報量 に基づく数理的分析方法、手法を理論構築し、それにより、 得られた 情報、情報量 の関数としての 最適な解を推論して、種々の分野における実用上の問題点を解決、改善することを目的としています。
東京理科大学 理工学部 情報科学科
たとえば、 明日、正午頃に東京で震度５の地震が発生する と誰かが予言し、それが当たったとすると、多くの人々は、驚き、感心しますが、しかし、 明日、日本のどこかで震度１の地震が発生する と誰かが予言し、当たったとしても多くの人々はあまり感心しません。 また、我々は、たとえば、 大量の情報が漏れる 、 不確かな情報に依ると 、 情報の公開 等、日常の生活において 情報 という言葉を毎日耳にしています。 情報 の不確定さ、大きさ、価値などをどのように情報量として測り、 情報 をどのように数理表現し、そして、 情報 をいかに数理的に分析するのかが情報科学であります。 加えて、情報科学は、自然科学、社会科学、人間科学などの各分野における、現象、システムの種々の 情報 に関わる問題を定式化し、現象、システムの仮説 あるいは、モデル、原理 を数理的に作成し、 情報、情報量 に基づく数理的分析方法、手法を理論構築し、それにより、 得られた 情報、情報量 の関数としての 最適な解を推論して、種々の分野における実用上の問題点を解決、改善することを目的としています。
Queue4me @ Niks Maple Clinic | Please Queue4me… Luv ya…
Queue4me @ Niks Maple Clinic. Please Queue4me… Luv ya…. How the blog works? June 25, 2008. There will be 2 groups of people. One group will be those who are going to the clinic to queue so they will email the date they are going down to ‘gottime@ymail.com’. The other group of people who want to save that 2 to 3 hours of queueing time will email their particulars to ‘notime@ymail.com’. How the process flows? 1 Email your particulars. And the day you are intending to go down to the clinic. Rs, you will rec...
QA9 | Exploring the Computational Logic Literature
Exploring the Computational Logic Literature. Getting your Agda code to type-check faster. July 1, 2015 – 2:04 pm. As I, like many others of good will and high aspiration, battle the POPL ’16 submission deadline, I feel compelled to write a quick post about how to get your Agda code through the type-checker faster. For my submission fight, I have got about 3000 lines of Agda that is intended to be compiled and executed (imagine! Argh Here are three things I did that seemed to help (YMMV, of course):.
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