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Metatheorem | An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science

An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science

http://blog.metatheorem.org/

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Metatheorem | An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science | blog.metatheorem.org Reviews
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Metatheorem | An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science | blog.metatheorem.org Reviews

https://blog.metatheorem.org

An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science

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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):.

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Complete partial order of Herbrand models | QA9

https://queuea9.wordpress.com/2014/10/06/complete-partial-order-of-herbrand-models

Exploring the Computational Logic Literature. Complete partial order of Herbrand models. October 6, 2014 – 7:58 pm. Posted in Group news. In our Computational Logic seminar here at The University of Iowa, we are studying logic programming this semester. We are using the very nice book “Logic, Programming, and Prolog”, freely available online. We were talking today about the existence of a least Herbrand model for a definite program. A definite program is just a set of clauses of the form. Be a subset of.

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Coming back to iteration | QA9

https://queuea9.wordpress.com/2014/08/15/coming-back-to-iteration

Exploring the Computational Logic Literature. Coming back to iteration. August 15, 2014 – 11:49 am. I haven’t yet started repeating myself — though there’s every chance you’ll hear it here twice — but iteration is the sort of thing one can find just one use after another for. I mean, if you’ve seen it once, you’ve seen it a thousand times: iteration delivers repeatedly. How many times have you iterated to good effect? I say again: is iteration great or what? In my standard library. Div-result : ℕ ℕ Set.

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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...

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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...

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QA9 | Exploring the Computational Logic Literature | Page 2

https://queuea9.wordpress.com/page/2

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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Category list | QA9

https://queuea9.wordpress.com/my-categories

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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Metatheorem | An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science

An academic blog on programming language theory, type theory, and category theory w.r.t. logic and computer science. TTT: Exercise 1.1. ( text{ISO} diamond ). August 14, 2015. Newcommand{ homs}[2]{ mathsf{Hom}(#1,#2)}. The category of objects of ( cat{C} ) over (A ) (slice category (C/A ) has as objects the arrows of ( cat{C} ), and an arrow from (f : B to A ) to (g : C to A ) is an arrow (h : B to C ) making the following diagram commute:. TTT: Exercise 1.1. ( text{CCON} diamond ). August 14, 2015.

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