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Patterns in Functional Programming | Exploiting the relationship between data structure and program structure

Exploiting the relationship between data structure and program structure

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Patterns in Functional Programming | Exploiting the relationship between data structure and program structure | patternsinfp.wordpress.com Reviews
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Patterns in Functional Programming | Exploiting the relationship between data structure and program structure | patternsinfp.wordpress.com Reviews

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Exploiting the relationship between data structure and program structure

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Patterns in Functional Programming | Exploiting the relationship between data structure and program structure | Page 2

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Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Newer posts →. Friday, December 31st, 2010. I read quite a nice problem on Nick Wu’s blog. This post will involve some language that we have not yet covered. Fear not! I hope it will be clear from context. But in case it isn’t, you might want to take a look at some of the background material (especially the paper Calculating Functional Programs. Generates a stream from a seed, using the body.

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Horner’s Rule | Patterns in Functional Programming

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Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Distributivity in Horner’s Rule →. Thursday, May 5th, 2011. This post is about my all-time favourite calculation, of a linear-time algorithm for the. Problem, based on. The problem was popularized in Jon Bentley’s Programming Pearls. Series in CACM (and in the subsequent book), but I learnt about it from Richard Bird’s lecture notes on The Theory of Lists. And Constructive Functional Programming.

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July | 2011 | Patterns in Functional Programming

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Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Monthly Archives: July 2011. Upwards and downwards accumulations. Tuesday, July 12th, 2011. Continuing my work in regress, this post revisits—with the benefit of much hindsight—what I was working on for my DPhil thesis (which was summarized in a paper at MPC 1992) and in subsequent papers at MPC 1998 and in SCP … Continue reading →. Upwards and downwards accumulations. Where to go next?

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January | 2012 | Patterns in Functional Programming

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Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Monthly Archives: January 2012. Thursday, January 19th, 2012. Prompted by some recent work I’ve been doing on reasoning about monadic computations, I’ve been looking back at the work from the 1990s by Phil Trinder, Limsoon Wong, Leonidas Fegaras, Torsten Grust, and others, on monad comprehensions as a framework … Continue reading →. Upwards and downwards accumulations. Where to go next?

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Lenses are the coalgebras for the costate comonad | Patterns in Functional Programming

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Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Universal properties and Galois connections →. Lenses are the coalgebras for the costate comonad. Monday, January 31st, 2011. I took part in the Dagstuhl Seminar on Bidirectional Transformations “BX”. While there, I reported on a marvellous observation made by Russell O’Connor. That lenses are exactly the coalgebras for the costate comonad. A “get” function. And a “put” function. The story is tha...

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The Universal Properties of Map, Fold, and Filter | Math ∩ Programming

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Anti-Coordination Games and Stable Graph Colorings. Optimism in the Face of Uncertainty: the UCB1 Algorithm →. The Universal Properties of Map, Fold, and Filter. September 30, 2013. A lot of people who like functional programming often give the reason that the functional style is simply more elegant than the imperative style. When compelled or inspired to explain (as I did in my old post, How I Learned to Love Functional Programming. That means that, as a fair warning to the reader, this post assumes som...

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Semantic Domain: January 2014

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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...

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Haskell for all: Algebraic side effects

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Friday, March 27, 2015. Haskell differentiates itself from most other functional languages by letting you reason mathematically about programs with side effects. This post begins with a pure Haskell example that obeys algebraic equations and then generalizes the example to impure code that still obeys the same equations. In school, you probably learned algebraic rules like this one:. F * (xs ys) = (f * xs) (f * ys). Now let's make the following substitutions:. Map f (xs ys) = (map f xs) (map f ys). Res0:...

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Semantic Domain: March 2015

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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...

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Semantic Domain: July 2014

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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, ...

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Semantic Domain: December 2013

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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...

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Semantic Domain: Abstract Binding Trees, an addendum

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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...

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Semantic Domain: November 2013

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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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Semantic Domain: How to implement a spreadsheet

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Wednesday, July 22, 2015. How to implement a spreadsheet. My friend Lindsey Kuper. Recently remarked on Twitter that spreadsheets were commonly understood to be the most widely used dataflow programming model, and asked if there was a simple implementation of them. As for the proof, you can look at this TLDI paper. For some idea of the complexities involved. These days it could all be done more simply, but the pressure of proving everything correct. Each of which contains an. An expression is basically a...

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List of publications and talks updated « Wolfgang Jeltsch

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Mathematics, computer science, and computers. List of publications and talks updated. The list of publications and talks on my website. Has been pretty much out of date. Now it is updated, for you to enjoy.🙂. This entry was posted in Uncategorized. Hyperreal numbers on Estonian TV. Grapefruit updated →. When replying to another comment, please press that comment’s Reply button first. Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public).

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Patterns in Functional Programming | Exploiting the relationship between data structure and program structure

Patterns in Functional Programming. Exploiting the relationship between data structure and program structure. Monday, December 11th, 2017. In the previous post. We saw the basic definitions of arithmetic encoding and decoding, and a proof that decoding does indeed successfully retrieve the input. In this post we go on to show how both encoding and decoding can be turned into streaming processes. The obvious definitions have. Yield the shortest binary expansion of any fraction within. So we yield the empt...

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