Difference between revisions of "Research papers/Functional pearls"

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Functional pearls are elegant, instructive examples of functional programming. They are supposed to be fun, and they teach important programming techniques and fundamental design principles. They traditionally appear in [http://journals.cambridge.org/action/displayJournal?jid=JFP The Journal of Functional Programming], and at [http://www.icfpconference.org/index.html ICFP] and affiliated workshops.
+
Functional pearls are elegant, instructive examples of functional programming. They are supposed to be fun, and they teach important programming techniques and fundamental design principles. They traditionally appear in [http://journals.cambridge.org/action/displayJournal?jid=JFP The Journal of Functional Programming] and and at [http://www.icfpconference.org/index.html ICFP] and affiliated workshops.
 +
 
 +
== History ==
  
 
The history of functional pearls is covered by:
 
The history of functional pearls is covered by:
  
;[http://icfp06.cs.uchicago.edu/bird-talk.pdf How to Write a Functional Pearl]
+
* [http://icfp06.cs.uchicago.edu/bird-talk.pdf How to Write a Functional Pearl]
:Richard Bird. ICFP 2006.
+
*: Richard Bird. ICFP 2006.
  
;[http://portal.acm.org/ft_gateway.cfm?id=1159832&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 Fifteen years of functional pearls]
+
* [http://portal.acm.org/ft_gateway.cfm?id=1159832&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 Fifteen years of functional pearls]
:Richard Bird. ICFP 2006.
+
*: Richard Bird. ICFP 2006.
  
;[https://web.archive.org/web/20160311022831/http://spivey.oriel.ox.ac.uk/mike/firstpearl.pdf Strachey's functional pearl, forty years on]
+
* [https://web.archive.org/web/20160311022831/http://spivey.oriel.ox.ac.uk/mike/firstpearl.pdf Strachey's functional pearl and forty years on]
:Mike Spivey, 2006.
+
*: Mike Spivey. 2006.
  
;[http://www.brics.dk/RS/07/14/index.html On Barron and Strachey's Cartesian Product Function]
+
* [http://www.brics.dk/RS/07/14/index.html On Barron and Strachey's Cartesian Product Function]
: Olivier Danvy and Michael Spivey, July 2007
+
*: Olivier Danvy and Michael Spivey. July 2007
  
There have been many functional pearls in JFP, and some others at
+
There have been many functional pearls in JFP and and some others at
 
ICFP and the Haskell Workshop. There is also a collection of them in
 
ICFP and the Haskell Workshop. There is also a collection of them in
 
[https://www.cs.ox.ac.uk/publications/publication2338-abstract.html The Fun of Programming].
 
[https://www.cs.ox.ac.uk/publications/publication2338-abstract.html The Fun of Programming].
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Some advice on writing pearls for JFP is available in this [http://www.comlab.ox.ac.uk/people/Jeremy.Gibbons/pearls/ editorial].
 
Some advice on writing pearls for JFP is available in this [http://www.comlab.ox.ac.uk/people/Jeremy.Gibbons/pearls/ editorial].
  
=== Online ===
+
== Online ==
 
 
Functional pearls online:
 
 
 
;[http://www.cs.ox.ac.uk/jeremy.gibbons/publications/proyo.pdf What You Needa Know about Yoneda: Profunctor Optics and the Yoneda Lemma]
 
:Guillaume Boisseau, Jeremy Gibbons. 2018.
 
 
 
;[https://jyp.github.io/pdf/Prettiest.pdf A Pretty But Not Greedy Printer]
 
:Jean-Philippe Bernardy. 2017.
 
 
 
;[https://eprint.ncl.ac.uk/file_store/production/239461/EF82F5FE-66E3-4F64-A1AC-A366D1961738.pdf Algebraic Graphs with Class]
 
:Andrey Mokhov. 2017.
 
 
 
;[https://lemonidas.github.io/pdf/urns.pdf Ode on a Random Urn]
 
:Leonidas Lampropoulos, Antal Spector-Zabusky, Kenneth Foner. 2017.
 
 
 
;[http://homes.sice.indiana.edu/ccshan/rational/pearl.pdf Deriving a Probability Density Calculator]
 
:Wazim Mohammed Ismail, Chung-chieh Shan. 2016.
 
 
 
;[http://www.iis.sinica.edu.tw/~scm/pub/queueing-glueing.pdf Queueing and Glueing for Optimal Partitioning]
 
:Shin-Cheng Mu, Yu-Hsi Chiang, Yu-Han Lyu. 2016.
 
 
 
;[http://www.cs.ox.ac.uk/jeremy.gibbons/publications/delivery.pdf Free Delivery]
 
:Jeremy Gibbons. 2016.
 
 
 
;[https://www.informatik.uni-kiel.de//~sad/icfp2016-preprint.pdf All Sorts of Permutations]
 
:Jan Christiansen, Nikita Danilenko, Sandra Dylus. 2016.
 
  
;[https://www.fceia.unr.edu.ar/~mauro/pubs/smartviews/smartviews.pdf A Smart View on Datatypes]
+
Functional pearls available online.
:Mauro Jaskelioff, Exequiel Rivas. 2015.
 
  
;[http://www.cse.chalmers.se/~russo/publications_files/pearl-russo.pdf Two Can Keep a Secret, If One of Them Uses Haskell]
+
;2021
:Alejandro Russo. 2015.
+
* [https://www.cs.nott.ac.uk/~pszgmh/123.pdf It’s Easy As 1,2,3] - Graham Hutton.
  
;[http://web.cecs.pdx.edu/~mpj/snakecube/ Solving the Snake Cube Puzzle in Haskell]
+
;2018
:Mark P. Jones. 2013.
+
* [http://www.cs.ox.ac.uk/jeremy.gibbons/publications/proyo.pdf What You Needa Know about Yoneda: Profunctor Optics and the Yoneda Lemma] - Guillaume Boisseau and Jeremy Gibbons.
  
;[http://www.cs.tufts.edu/~nr/cs257/archive/mike-spivey/maybe-not-enough.pdf When Maybe is not good enough]
+
;2017
:Michael Spivey. 2012.
+
* [https://jyp.github.io/pdf/Prettiest.pdf A Pretty But Not Greedy Printer] - Jean-Philippe Bernardy.
 +
* [https://eprint.ncl.ac.uk/file_store/production/239461/EF82F5FE-66E3-4F64-A1AC-A366D1961738.pdf Algebraic Graphs with Class] - Andrey Mokhov.
 +
* [https://lemonidas.github.io/pdf/urns.pdf Ode on a Random Urn] -  Leonidas Lampropoulos, Antal Spector-Zabusky and Kenneth Foner.
  
;[http://ozark.hendrix.edu/~yorgey/pub/monoid-pearl.pdf Monoids: Theme and Variations]
+
;2016
:Brent Yorgey. 2012.
+
* [http://homes.sice.indiana.edu/ccshan/rational/pearl.pdf Deriving a Probability Density Calculator] - Wazim Mohammed Ismail and Chung-chieh Shan.
 +
* [http://www.iis.sinica.edu.tw/~scm/pub/queueing-glueing.pdf Queueing and Glueing for Optimal Partitioning] - Shin-Cheng Mu, Yu-Hsi Chiang and Yu-Han Lyu.
 +
* [http://www.cs.ox.ac.uk/jeremy.gibbons/publications/delivery.pdf Free Delivery] - Jeremy Gibbons.
 +
* [https://www-ps.informatik.uni-kiel.de/~sad/icfp2016-preprint.pdf All Sorts of Permutations] - Jan Christiansen, Nikita Danilenko and Sandra Dylus.
  
;[http://dx.doi.org/10.1017/S0956796810000341 The Hough transform]
+
;2015
:Maarten Fokkinga. 2011.
+
* [https://www.fceia.unr.edu.ar/~mauro/pubs/smartviews/smartviews.pdf A Smart View on Datatypes] - Mauro Jaskelioff and Exequiel Rivas.
 +
* [http://www.cse.chalmers.se/~russo/publications_files/pearl-russo.pdf Two Can Keep a Secret and If One of Them Uses Haskell] - Alejandro Russo.
  
;[http://www.staff.science.uu.nl/~swier004/publications/2011-jfp.pdf Sorted. Verifying the Problem of the Dutch National Flag in Agda]
+
;2013.
:Wouter Swierstra. 2011.
+
* [http://web.cecs.pdx.edu/~mpj/snakecube/ Solving the Snake Cube Puzzle in Haskell] - Mark P. Jones.
  
;[http://www.cs.ox.ac.uk/people/ralf.hinze/publications/Quote.pdf Typed Quote/Antiquote - Or: Compile-time Parsing]
+
;2012
:Ralf Hinze. 2011.
+
* [http://www.cs.tufts.edu/~nr/cs257/archive/mike-spivey/maybe-not-enough.pdf When Maybe is not good enough] - Michael Spivey.
 +
* [http://ozark.hendrix.edu/~yorgey/pub/monoid-pearl.pdf Monoids: Theme and Variations] - Brent Yorgey.
  
;[https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/pearl.pdf Every Bit Counts]
+
;2011
:Dimitrios Vytiniotis, Andrew Kennedy. 2010.
+
* [http://dx.doi.org/10.1017/S0956796810000341 The Hough transform] - Maarten Fokkinga.
 +
* [http://www.staff.science.uu.nl/~swier004/publications/2011-jfp.pdf Sorted. Verifying the Problem of the Dutch National Flag in Agda] - Wouter Swierstra.
 +
* [http://www.cs.ox.ac.uk/people/ralf.hinze/publications/Quote.pdf Typed Quote/Antiquote - Or: Compile-time Parsing] - Ralf Hinze.
  
;[http://sebfisch.github.io/haskell-regexp/regexp-play.pdf A Play on Regular Expressions]
+
;2010
:Sebastian Fischer. Frank Huch, Thomas Wilke. 2010.
+
* [https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/pearl.pdf Every Bit Counts] - Dimitrios Vytiniotis and Andrew Kennedy.
 +
* [http://sebfisch.github.io/haskell-regexp/regexp-play.pdf A Play on Regular Expressions] - Sebastian Fischer. Frank Huch and Thomas Wilke.
  
;[http://dx.doi.org/10.1145/1596550.1596577 Free Theorems Involving Type Constructor Classes]
+
;2009
:Janis Voigtländer. 2009.
+
* [http://dx.doi.org/10.1145/1596550.1596577 Free Theorems Involving Type Constructor Classes] - Janis Voigtländer.
 +
* [http://www.cs.kent.ac.uk/pubs/2009/2847/content.pdf Linear, Bounded and Functional Pretty-Printing] - S. Doaitse Swierstra and Olaf Chitil.
 +
* [http://dx.doi.org/10.1145/1480881.1480904 Bidirectionalization for Free!] - Janis Voigtländer.
 +
* [http://web.engr.oregonstate.edu/~walkiner/papers/jfp09-hagl.pdf A Domain-Specific Language for Experimental Game Theory] - Eric Walkingshaw and Martin Erwig.
  
;[http://www.cs.kent.ac.uk/pubs/2009/2847/content.pdf Linear, Bounded, Functional Pretty-Printing]
+
;2008
:S. Doaitse Swierstra, Olaf Chitil. 2009.
+
* [https://web.archive.org/web/20160527131614/https://www.staff.science.uu.nl/~swier004/Publications/DataTypesALaCarte.pdf Functional Pearl: Data Types A La Carte] - Wouter Swierstra.
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/ICFP08.pdf Functional Pearl: Streams and Unique Fixed Points] - Ralf Hinze.
 +
* [http://dx.doi.org/10.1145/1411204.1411220 Generic Discrimination: Sorting and Partitioning Unshared Data in Linear Time] - Fritz Henglein.
 +
* [https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.69.8486&rep=rep1&type=pdf Undoing Dynamic Typing] - Nick Benton.
 +
* [http://dx.doi.org/10.1145/1328438.1328445 Much Ado about Two: A Pearl on Parallel Prefix Computation] - Janis Voigtländer.
 +
* [http://strictlypositive.org/CJ.pdf Clowns to the Left of me and Jokers to the Right: Dissecting Data Structures]: Conor McBride.
  
;[http://dx.doi.org/10.1145/1480881.1480904 Bidirectionalization for Free!]
+
;2007
:Janis Voigtländer. 2009.
+
* [http://www.ccs.neu.edu/home/dherman/research/papers/icfp07-great-escape.pdf Functional Pearl: The Great Escape: Or how to jump the border without getting caught] - David Herman.
 +
* [https://www.cs.indiana.edu/~adamsmd/papers/scrap_your_zippers/ScrapYourZippers-2007.pdf Scrap Your Zippers]
 +
*: Michael Adams. (superseded by the [https://www.cs.indiana.edu/~adamsmd/papers/scrap_your_zippers/ScrapYourZippers-2010.pdf WGP 2010 version].)
  
;[http://web.engr.oregonstate.edu/~walkiner/papers/jfp09-hagl.pdf A Domain-Specific Language for Experimental Game Theory]
+
;2006
:Eric Walkingshaw and Martin Erwig. 2009.
+
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4086 A type-correct, stack-safe and provably correct expression compiler in Epigram] - James McKinna and Joel Wright.
 +
* [http://www.soi.city.ac.uk/~ross/papers/Applicative.pdf Applicative Programming with Effects] - Conor McBride and Ross Paterson.
 +
* [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/rationals.pdf Enumerating the rationals] - Jeremy Gibbons, David Lester and Richard Bird.
 +
* [http://www.cs.tufts.edu/~nr/cs257/archive/richard-bird/sudoku.pdf A program to solve Sudoku]
 +
*: Richard Bird. ([http://icfp06.cs.uchicago.edu/bird-talk.pdf slides]; an [http://www.cs.nott.ac.uk/~gmh/sudoku.lhs implementation] in Literate Haskell by Graham Hutton.)
  
;[https://web.archive.org/web/20160527131614/https://www.staff.science.uu.nl/~swier004/Publications/DataTypesALaCarte.pdf Functional Pearl: Data Types A La Carte]
+
* [http://web.engr.oregonstate.edu/~erwig/papers/PFP_JFP06.pdf Probabilistic functional programming in Haskell] - Martin Erwig and Steve Kollmansberger.
:Wouter Swierstra, 2008
+
* [http://dx.doi.org/10.1017/S095679680300474X Marble mingling] - Sharon Curtis.
 +
* [http://wiki.di.uminho.pt/twiki/pub/Personal/Xana/WebHome/report.pdf Strong Types for Relational Databases] - Alexandra Silva and Joost Visser.
 +
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/3E79673B3E7EA223532194DFBFF69569/S0956796805005678a.pdf/functional_pearls_finding_celebrities_a_lesson_in_functional_programming.pdf Finding celebrities: A lesson in functional programming] - Richard Bird and Sharon Curtis.
  
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/ICFP08.pdf Functional Pearl: Streams and Unique Fixed Points]
+
;2005
:Ralf Hinze, ICFP 2008
+
* [http://okmij.org/ftp/papers/LogicT.pdf Backtracking, interleaving and and terminating monad transformers] - Oleg Kiselyov, Chung-chieh Shan, Daniel P. Friedman and Amr Sabry.
 +
* [http://homepages.inf.ed.ac.uk/jcheney/publications/cheney05icfp.pdf Scrap your Nameplate] - James Cheney.
  
;[http://dx.doi.org/10.1145/1411204.1411220 Generic Discrimination: Sorting and Partitioning Unshared Data in Linear Time]
+
;2004
:Fritz Henglein. 2008
+
* [http://dx.doi.org/10.1017/S0956796804005209 Pickler Combinators] - Andrew Kennedy.
 +
* [http://web.cecs.pdx.edu/~mpj/pubs/composing-fractals.pdf Composing fractals] - Mark P. Jones.  
 +
* [http://www.cs.dartmouth.edu/~doug/nfa.ps.gz Enumerating the strings of regular languages] - M. Douglas McIlroy.
 +
* [http://www.kestrel.edu/home/people/meertens/publications/papers/Calculating_the_Sieve_of_Eratosthenes.pdf Calculating the Sieve of Eratosthenes] - Lambert Meertens. ([http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/wg21/meeting57/meertens-sieve.pdf slides].)
  
;[http://dx.doi.org/10.1145/1328438.1328445 Much Ado about Two: A Pearl on Parallel Prefix Computation]
+
* [http://pauillac.inria.fr/~maranget/enum/pearl.ps Functional satisfaction] - Luc Maranget. ([http://pauillac.inria.fr/~maranget/enum/index.html more info].)
:Janis Voigtländer. 2008.
 
  
;[http://strictlypositive.org/CJ.pdf Clowns to the Left of me, Jokers to the Right: Dissecting Data Structures]: Conor McBride. 2008.
+
* [http://portal.acm.org/ft_gateway.cfm?id=1017481&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 Implicit configurations--or and type classes reflect the values of types] - Oleg Kiselyov and Chung-chieh Shan.
 +
* [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.23.145&rep=rep1&type=ps Global variables in Haskell] - John Hughes.
 +
* [http://portal.acm.org/ft_gateway.cfm?id=1017477&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 I am not a number -- I am a free variable] - Conor McBride and James McKinna. 
 +
* [http://dx.doi.org/10.1017/S0956796804005118 Inverting the Burrows Wheeler transform] - Richard Bird and Shin-Cheng Mu. (also [http://web.comlab.ox.ac.uk/people/Richard.Bird/online/BirdMu2004Inverting.pdf here].)
  
;[http://www.ccs.neu.edu/home/dherman/research/papers/icfp07-great-escape.pdf Functional Pearl: The Great Escape: Or how to jump the border without getting caught]
+
* [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/wg21/meeting56/loeh-paper.pdf Parsing permutation phrases] - Arthur Baars and Andres Loh and S. Doaitse Swierstra.
:David Herman. 2007.
+
* [http://web.cecs.pdx.edu/~antoy/homepage/publications/inject/paper.pdf Concurrent distinct choices] - Sergio Antoy and Michael Hanus. 
 +
* [http://dx.doi.org/10.1017/S0956796804005106 Functional chart parsing of context-free grammars] - Peter Ljunglf.
 +
* [http://www.seas.upenn.edu/~sweirich/papers/cast/cast.pdf Type-Safe Cast] - Stephanie Weirich.
 +
* [http://www.cse.chalmers.se/edu/course/afp/Papers/parser-claessen.pdf Parallel Parsing Processes] - Koen Claessen.
 +
* [http://dx.doi.org/10.1017/S0956796804005180 Derivation of a logarithmic time carry lookahead addition circuit] - John O'Donnell and Gudula Runger.
 +
* [http://pages.cs.brandeis.edu/~mairson/Papers/jfp02.pdf Linear lambda calculus and PTIME-completeness] - Harry G. Mairson. 
 +
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/44A9D4F4D9AF0D8380D5E573E7E7F885/S095679680400512Xa.pdf/functional_pearl_on_tiling_a_chessboard.pdf On tiling a chessboard] - Richard Bird.
  
;[https://www.cs.indiana.edu/~adamsmd/papers/scrap_your_zippers/ScrapYourZippers-2007.pdf  Scrap Your Zippers]
+
;2003
:Michael Adams. 2007. Superseded by the [https://www.cs.indiana.edu/~adamsmd/papers/scrap_your_zippers/ScrapYourZippers-2010.pdf WGP 2010 version].
+
* [http://www.lri.fr/~filliatr/ftp/publis/kr-fp.ps.gz Producing all ideals of a forest and functionally] - Jean-Christophe Filliatre and Francois Pottier.
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/HW03.pdf Trouble shared is trouble halved] - Richard Bird and Ralf Hinze.
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/Format.ps.gz Formatting: a class act] - Ralf Hinze.  
  
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4086 A type-correct, stack-safe, provably correct expression compiler in Epigram]
+
;2002
:James McKinna and Joel Wright. 2006.
+
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/SearchTree.ps.gz A fresh look at binary search trees] - Ralf Hinze.
 +
* [http://www.cs.nott.ac.uk/~gmh/countdown.pdf The countdown problem] - Graham Hutton. 
 +
* [http://pdos.csail.mit.edu/papers/packrat-parsing:icfp02.pdf Packrat parsing: simple, powerful, lazy, linear time and functional pearl] - Bryan Ford.
 +
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.3014 Monads for Incremental Computing] - Magnus Carlsson.  
  
;[http://www.soi.city.ac.uk/~ross/papers/Applicative.pdf Applicative Programming with Effects]
+
;2001
:Conor McBride and Ross Paterson. 2006.
+
* [http://www.cs.nott.ac.uk/~gmh/wgp01/hinze-paper.pdf Haskell does it with class: Functorial unparsing] - Ralf Hinze.
 +
* [http://dx.doi.org/10.1017/S0956796801003914 Unfolding pointer algorithms] - Richard Bird.
 +
* [http://dx.doi.org/10.1017/S0956796801004038 Maximum marking problems] - Richard Bird. 
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/TheWeb.ps.gz Weaving a web] - Ralf Hinze and Johan Jeuring. 
 +
* [http://www.brics.dk/RS/01/16/BRICS-RS-01-16.pdf Normalization by evaluation with typed abstract syntax] - Olivier Danvy, Morten Rhiger and Kristoffer H. Rose. 
 +
* [http://www.brics.dk/RS/01/10/BRICS-RS-01-10.ps.gz Do we need dependent types?] - Daniel Fridlender and Mia Indrika.
 +
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/632BDF7BE8CD1F6EAEDEA37E6046E4A1/S0956796801004026a.pdf/redblack_trees_with_types.pdf Red-black trees with types] - Stefan Kahrs. ([http://www.cs.kent.ac.uk/people/staff/smk/redblack/rb.html code].)
  
;[http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/rationals.pdf Enumerating the rationals]
+
;2000
:Jeremy Gibbons, David Lester and Richard Bird. 2006.
+
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/BitReversal.ps.gz Perfect trees and bit-reversal permutations] and a revision of [http://www.cs.ox.ac.uk/ralf.hinze/publications/IAI-TR-99-4.ps.gz Technical Report IAI-TR-99-4] - Ralf Hinze.
 +
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.2420 Combinators for breadth-first search] - Michael Spivey.
 +
* [https://web.archive.org/web/20120321020542/http://www.eecs.usma.edu/webs/people/okasaki/icfp00.ps Breadth-First Numbering: Lessons from a Small Exercise in Algorithm Design] - Chris Okasaki.
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/ICFP00.ps.gz Deriving Backtracking Monad Transformers] - Ralf Hinze.
 +
* [http://www.cis.upenn.edu/~bcpierce/papers/rsr.ps Recursive subtyping revealed] - Vladimir Gapeyev, Michael Y. Levin and Benjamin C. Pierce.
 +
* [https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.34.493&rep=rep1&type=pdf Composing contracts: an adventure in financial engineering] - Simon Peyton Jones, Jean-Marc Eber and Julian Seward.
  
;[http://www.cs.tufts.edu/~nr/cs257/archive/richard-bird/sudoku.pdf A program to solve Sudoku]
+
;1999
:Richard Bird. 2006. (slides [http://icfp06.cs.uchicago.edu/bird-talk.pdf appear here], a Literate Haskell implementation by Graham Hutton based on this can be found [http://www.cs.nott.ac.uk/~gmh/sudoku.lhs here]).
+
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.8039 A poor man's concurrency monad] - Koen Claessen.
 +
* [http://www.cs.ox.ac.uk/ralf.hinze/publications/BinomialHeaps/index.html Explaining binomial heaps] - Ralf Hinze.
 +
* [http://www.cs.dartmouth.edu/~doug/pearl.ps.gz Power series and power serious] - M. Douglas McIlroy.
 +
* [http://www.eecs.usma.edu/webs/people/okasaki/jfp99.ps Red-black trees in a functional setting] - Chris Okasaki.
 +
* [http://www.cs.cmu.edu/~rwh/papers/regexp/jfp.ps Proof-directed debugging]
 +
*: Robert Harper. (see also [http://ropas.snu.ac.kr/~kwang/paper/06-jfp-yi.pdf Proof-directed debugging: revisited] for a first-order version.)
  
;[http://web.engr.oregonstate.edu/~erwig/papers/PFP_JFP06.pdf Probabilistic functional programming in Haskell]
+
* [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/radix.ps.gz A pointless derivation of radix sort] - Jeremy Gibbons.
:Martin Erwig and Steve Kollmansberger. 2006.  
 
  
;[http://dx.doi.org/10.1017/S095679680300474X Marble mingling]
+
;1998
:Sharon Curtis. 2006.
+
* [http://www.cs.nott.ac.uk/~gmh/pearl.pdf Monadic parsing in Haskell] - Graham Hutton and Erik Meijer.
 +
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.6891 Polytypic unification] - Patrik Jansson and Johan Jeuring.
 +
* [http://web.engr.oregonstate.edu/~erwig/papers/Diet_JFP98.pdf Diets for fat sets] - Martin Erwig.
 +
* [https://www.cambridge.org/core/journals/journal-of-functional-programming/article/even-higher-order-functions-for-parsing-or-why-would-anyone-ever-want-to-use-a-sixth-order-function/AAAA5C5E29889CEBC5E944CC1080FE8D Even higher-order functions for parsing or Why would anyone ever want to use a sixth-order function?] - Chris Okasaki.
 +
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/991084CDC1A348354224F893E2BD1D0C/S0956796897002931a.pdf/meertens_number.pdf Meertens number] - Richard Bird.
  
;[http://wiki.di.uminho.pt/twiki/pub/Personal/Xana/WebHome/report.pdf Strong Types for Relational Databases]
+
;1997
:Alexandra Silva, Joost Visser. 2006. (Haskell Workshop)
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DB0CF71E6B3D975D1F171C02336F3FA3/S0956796897002736a.pdf/functional-pearl-on-merging-and-selection.pdf On merging and selection]
 +
*: Richard Bird. (see also [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/merging.ps.gz More on Merging and Selection].)
  
;[http://okmij.org/ftp/papers/LogicT.pdf Backtracking, interleaving, and terminating monad transformers]
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/23D5C1B90A6B00A5D87239054FEDC8CF/S0956796897002803a.pdf/functional-pearl-on-building-trees-with-minimum-height.pdf On building trees with minimum height] - Richard Bird.
:Oleg Kiselyov, Chung-chieh Shan, Daniel P. Friedman, Amr Sabry. 2005.  
+
* [http://www.st.cs.uni-saarland.de/edu/seminare/2005/advanced-fp/docs/huet-zipper.pdf The Zipper]
 +
*: Gerard Huet. (see also [http://en.wikibooks.org/wiki/Haskell/Zippers The Haskell Wikibook]).
  
;[http://homepages.inf.ed.ac.uk/jcheney/publications/cheney05icfp.pdf Scrap your Nameplate]
+
* [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.7096 Lazy wheel sieves and spirals of primes] - Colin Runciman.
:James Cheney. 2005.
+
* [https://web.archive.org/web/20120314024849/http://www.eecs.usma.edu/webs/people/okasaki/jfp97.ps Three algorithms on Braun trees] - Chris Okasaki.
  
;[http://dx.doi.org/10.1017/S0956796804005209 Pickler Combinators]
+
;1996
:Andrew Kennedy. 2004.
+
* [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/thirdht.ps.gz The Third Homomorphism Theorem] - Jeremy Gibbons.
 +
* [http://www.cs.nott.ac.uk/~gmh/basics.pdf Back to Basics: Deriving Representation Changers Functionally] - Graham Hutton and Erik Meijer.
 +
* [http://dx.doi.org/10.1017/S0956796800001830 Drawing Trees] - Andrew J. Kennedy.
 +
* [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/drawing.ps.gz Deriving Tidy Drawings of Trees]
 +
*: Jeremy Gibbons. (see also [http://www.cs.auckland.ac.nz/CDMTCS//researchreports/003drawing.pdf the research report].)
  
;[http://web.cecs.pdx.edu/~mpj/pubs/composing-fractals.pdf Composing fractals]
+
;1994
:Mark P. Jones. 2004.
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/763DE73EB4761FDF681A613BE0E98443/S0956796800000988a.pdf/functional_pearl_on_generating_unique_names.pdf On generating unique names] - Lennart Augustsson, Mikael Rittri and Dan Synek.
  
;[http://www.cs.dartmouth.edu/~doug/nfa.ps.gz Enumerating the strings of regular languages]
+
;1993
:M. Douglas McIlroy. 2004.
+
* [http://groups.csail.mit.edu/mac/users/adams/BB/ Efficient Sets - A Balancing Act]
 +
*: Stephen Adams. (<code>Data.Set</code> [http://hackage.haskell.org/packages/archive/containers/latest/doc/html/Data-Set.html code].)
  
;[http://www.kestrel.edu/home/people/meertens/publications/papers/Calculating_the_Sieve_of_Eratosthenes.pdf Calculating the Sieve of Eratosthenes]
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CC6079CCEC88883F6C10DFB12908795F/S0956796800000630a.pdf/functional_pearls_the_last_tail.pdf The Last Tail] - Richard Bird.
:Lambert Meertens. Journal of Functional Programming, 14(6):759-763, 2004. ([http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/wg21/meeting57/meertens-sieve.pdf slides])
 
  
;[http://pauillac.inria.fr/~maranget/enum/pearl.ps Functional satisfaction]
+
;1992
:Luc Maranget. 2004. ([http://pauillac.inria.fr/~maranget/enum/index.html More info]).
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A77930CC2C68694EBB93964AF16D06D0/S0956796800000526a.pdf/functional_pearls_a_symmetric_set_of_efficient_list_operations.pdf A Symmetric Set of Efficient List Operations]
 +
*: Rob R. Hoogerwoord. (Hoogerwoord's [https://venus.tue.nl/ep-cgi/ep_publ.opl?taal=NL&fac_id=92&rn=19840694 homepage].)
  
;[http://portal.acm.org/ft_gateway.cfm?id=1017481&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 Implicit configurations--or, type classes reflect the values of types]
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E55EFDCCB071BBE9FFE0F6543C1BCBA1/S0956796800000368a.pdf/functional_pearls_two_greedy_algorithms.pdf Two Greedy Algorithms] - Richard Bird.
:Oleg Kiselyov, Chung-chieh Shan. 2004.
 
  
;[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.23.145&rep=rep1&type=ps Global variables in Haskell]
+
;1991
:John Hughes. 2004. ([http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=241773 JFP])
+
* [https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2CC831E0F77C77E86DD1E9AF165DECEE/S0956796800020074a.pdf/functional_pearls_on_removing_duplicates.pdf On Removing Duplicates] - Richard Bird.
  
;[http://portal.acm.org/ft_gateway.cfm?id=1017477&type=pdf&coll=&dl=ACM&CFID=15151515&CFTOKEN=6184618 I am not a number -- I am a free variable]
+
;1988
:Conor McBride, James McKinna. 2004.  
+
* [https://academic.oup.com/comjnl/article-pdf/31/3/243/1157325/310243.pdf Nondeterminism with Referential Transparency in Functional Programming Languages] - F. Warren Burton.
  
;[http://dx.doi.org/10.1017/S0956796804005118 Inverting the Burrows Wheeler transform]
+
== Potential pearls ==
:Richard Bird and Shin-Cheng Mu. 2004. ([http://web.comlab.ox.ac.uk/people/Richard.Bird/online/BirdMu2004Inverting.pdf Also here]).
 
 
 
;[http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/wg21/meeting56/loeh-paper.pdf Parsing permutation phrases]
 
:Arthur Baars, Andres Loh and S. Doaitse Swierstra. 2004.
 
 
 
;[http://web.cecs.pdx.edu/~antoy/homepage/publications/inject/paper.pdf Concurrent distinct choices]
 
:Sergio Antoy and Michael Hanus. 2004.
 
 
 
;[http://dx.doi.org/10.1017/S0956796804005106 Functional chart parsing of context-free grammars]
 
:Peter Ljunglf. 2004.
 
 
 
;[http://www.seas.upenn.edu/~sweirich/papers/cast/cast.pdf Type-Safe Cast]
 
:Stephanie Weirich. 2004.
 
 
 
;[http://www.cse.chalmers.se/edu/course/afp/Papers/parser-claessen.pdf Parallel Parsing Processes]
 
:Koen Claessen. 2004.
 
 
 
;[http://dx.doi.org/10.1017/S0956796804005180 Derivation of a logarithmic time carry lookahead addition circuit]
 
:John O'Donnell and Gudula Runger. 2004. ([http://portal.acm.org/citation.cfm?coll=GUIDE&dl=GUIDE&id=1030343 ACM]). 
 
 
 
;[http://pages.cs.brandeis.edu/~mairson/Papers/jfp02.pdf Linear lambda calculus and PTIME-completeness]
 
:Harry G. Mairson. 2004.
 
 
 
;[http://www.lri.fr/~filliatr/ftp/publis/kr-fp.ps.gz Producing all ideals of a forest, functionally]
 
:Jean-Christophe Filliatre and Francois Pottier. 2003.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/HW03.pdf Trouble shared is trouble halved]
 
:Richard Bird, Ralf Hinze. 2003
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/Format.ps.gz Formatting: a class act]
 
:Ralf Hinze. 2003.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/SearchTree.ps.gz A fresh look at binary search trees]
 
:Ralf Hinze. 2002.
 
 
 
;[http://www.cs.nott.ac.uk/~gmh/countdown.pdf The countdown problem]
 
:Graham Hutton. 2002.
 
 
 
;[http://pdos.csail.mit.edu/papers/packrat-parsing:icfp02.pdf Packrat parsing: simple, powerful, lazy, linear time, functional pearl]
 
:Bryan Ford. 2002.
 
 
 
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.3014 Monads for Incremental Computing]
 
:Magnus Carlsson. 2002.
 
 
 
;[http://www.cs.nott.ac.uk/~gmh/wgp01/hinze-paper.pdf Haskell does it with class: Functorial unparsing]
 
:Ralf Hinze. 2001.
 
 
 
 
 
;[http://dx.doi.org/10.1017/S0956796801003914 Unfolding pointer algorithms]
 
:Richard Bird. 2001.
 
 
 
;[http://dx.doi.org/10.1017/S0956796801004038 Maximum marking problems]
 
:Richard Bird. 2001.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/TheWeb.ps.gz Weaving a web]
 
:Ralf Hinze and Johan Jeuring. 2001.
 
 
 
;[http://www.brics.dk/RS/01/16/BRICS-RS-01-16.pdf Normalization by evaluation with typed abstract syntax]
 
:Olivier Danvy, Morten Rhiger and Kristoffer H. Rose. 2001.
 
 
 
;[http://www.brics.dk/RS/01/10/BRICS-RS-01-10.ps.gz Do we need dependent types?]
 
:Daniel Fridlender and Mia Indrika. 2001.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/BitReversal.ps.gz Perfect trees and bit-reversal permutations], a revision of [http://www.cs.ox.ac.uk/ralf.hinze/publications/IAI-TR-99-4.ps.gz Technical Report IAI-TR-99-4]
 
:Ralf Hinze. 2000.
 
 
 
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.2420 Combinators for breadth-first search]
 
:Michael Spivey. 2000
 
 
 
;[https://web.archive.org/web/20120321020542/http://www.eecs.usma.edu/webs/people/okasaki/icfp00.ps Breadth-First Numbering: Lessons from a Small Exercise in Algorithm Design]
 
:Chris Okasaki. 2000.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/ICFP00.ps.gz Deriving Backtracking Monad Transformers]
 
:Ralf Hinze. 2000.
 
 
 
;[http://www.cis.upenn.edu/~bcpierce/papers/rsr.ps Recursive subtyping revealed]
 
:Vladimir Gapeyev, Michael Y. Levin, Benjamin C. Pierce. 2000.
 
 
 
;[http://research.microsoft.com/Users/simonpj/Papers/financial-contracts/contracts-icfp.ps.gz Composing contracts: an adventure in financial engineering]
 
:Simon Peyton Jones, Jean-Marc Eber, Julian Seward. 2000.
 
 
 
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.8039 A poor man's concurrency monad]
 
:Koen Claessen. 1999.
 
 
 
;[http://www.cs.ox.ac.uk/ralf.hinze/publications/BinomialHeaps/index.html Explaining binomial heaps]
 
:Ralf Hinze. 1999.
 
 
 
;[http://www.cs.dartmouth.edu/~doug/pearl.ps.gz Power series, power serious]
 
:M. Douglas McIlroy. 1999.
 
 
 
;[http://www.eecs.usma.edu/webs/people/okasaki/jfp99.ps Red-black trees in a functional setting]
 
:Chris Okasaki. 1999.
 
 
 
;[http://www.cs.cmu.edu/~rwh/papers/regexp/jfp.ps Proof-directed debugging]
 
:Robert Harper. 1999. (see also [http://ropas.snu.ac.kr/~kwang/paper/06-jfp-yi.pdf Proof-directed debugging: revisited for a first-order version]).
 
 
 
;[http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/radix.ps.gz A pointless derivation of radix sort]
 
:Jeremy Gibbons. 1999.
 
 
 
;[http://www.cs.nott.ac.uk/~gmh/pearl.pdf Monadic parsing in Haskell]
 
:Graham Hutton and Erik Meijer . 1998.
 
 
 
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.6891 Polytypic unification]
 
:Patrik Jansson and Johan Jeuring. 1998.
 
 
 
;[http://web.engr.oregonstate.edu/~erwig/papers/Diet_JFP98.pdf Diets for fat sets]
 
:Martin Erwig. 1998.
 
 
 
;[https://www.cambridge.org/core/journals/journal-of-functional-programming/article/even-higher-order-functions-for-parsing-or-why-would-anyone-ever-want-to-use-a-sixth-order-function/AAAA5C5E29889CEBC5E944CC1080FE8D Even higher-order functions for parsing or Why would anyone ever want to use a sixth-order function?]
 
:Chris Okasaki. 1998.
 
 
 
;[http://www.st.cs.uni-saarland.de/edu/seminare/2005/advanced-fp/docs/huet-zipper.pdf The Zipper]
 
:Gerard Huet. 1997. (See also [http://en.wikibooks.org/wiki/Haskell/Zippers The Haskell Wikibook]).
 
 
 
;[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.7096 Lazy wheel sieves and spirals of primes]
 
:Colin Runciman. 1997.
 
 
 
;[https://web.archive.org/web/20120314024849/http://www.eecs.usma.edu/webs/people/okasaki/jfp97.ps Three algorithms on Braun trees]
 
:Chris Okasaki. 1997.
 
 
 
;[http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/thirdht.ps.gz The Third Homomorphism Theorem]
 
:Jeremy Gibbons. 1996.
 
 
 
;[http://www.cs.nott.ac.uk/~gmh/basics.pdf Back to Basics: Deriving Representation Changers Functionally].
 
:Graham Hutton, Erik Meijer. 1996.
 
 
 
;[http://dx.doi.org/10.1017/S0956796800001830 Drawing Trees]
 
:Andrew J. Kennedy. 1996.
 
 
 
;[https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.69.8486&rep=rep1&type=pdf Undoing Dynamic Typing]
 
:Nick Benton. 2008.
 
 
 
;[http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/drawing.ps.gz Deriving Tidy Drawings of Trees]
 
:Jeremy Gibbons. 1996. (See also [http://www.cs.auckland.ac.nz/CDMTCS//researchreports/003drawing.pdf the research report]).
 
 
 
;[http://groups.csail.mit.edu/mac/users/adams/BB/ Efficient Sets - A Balancing Act]
 
:Stephen Adams. 1993. ([http://hackage.haskell.org/packages/archive/containers/latest/doc/html/Data-Set.html Data.Set]).
 
 
 
;[https://academic.oup.com/comjnl/article-pdf/31/3/243/1157325/310243.pdf Nondeterminism with Referential Transparency in Functional Programming Languages]
 
:F. Warren Burton; The Computer Journal, Volume 31, Issue 3, 1988, Pages 243-247.
 
 
 
=== Potential Pearls ===
 
  
 
Unpublished pearls.
 
Unpublished pearls.
  
;[http://www.cs.nott.ac.uk/~txa/publ/alpha-draft.pdf α-conversion is easy]
+
* [http://www.cs.nott.ac.uk/~txa/publ/alpha-draft.pdf α-conversion is easy]
:Thorsten Altenkirch. Unpublished draft.
+
*: Thorsten Altenkirch. (unpublished draft.)
 
 
=== Offline ===
 
 
 
These appear not to be available online, unfortunately. If you know where they live, please link, and move into the 'online' section!
 
 
 
;[http://www.cs.kent.ac.uk/pubs/2001/1293/index.html Red-black trees with types]
 
:Stefan Kahrs. 2001. ([http://journals.cambridge.org/action/displayAbstract?aid=83905 JFP]) ([http://www.cs.kent.ac.uk/people/staff/smk/redblack/rb.html Code!])
 
 
 
;On generating unique names
 
:Lennart Augustsson, M Rittri, D Synek. 1994. ([http://www.cs.chalmers.se/~rittri/#publications Rittri's homepage])
 
 
 
;A Symmetric Set of Efficient List Operations.
 
:Rob R. Hoogerwoord, 1992. ([https://venus.tue.nl/ep-cgi/ep_publ.opl?taal=NL&fac_id=92&rn=19840694 Hoogerwoord's homepage]).
 
 
 
;[http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=335124 Finding celebrities: A lesson in functional programming]
 
:Richard Bird and Sharon Curtis. 2006.
 
 
 
;[http://journals.cambridge.org/action/displayAbstract?aid=254705 On tiling a chessboard]
 
:Richard Bird. 2004. ([http://portal.acm.org/citation.cfm?id=1030333.1030336 ACM])
 
 
 
;[http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=44141 Meertens number]
 
:Richard Bird. 1998.
 
 
 
;[http://journals.cambridge.org/action/displayAbstract?aid=44091 On merging and selection]
 
:Richard Bird. 1997. (See also [http://web.comlab.ox.ac.uk/people/Jeremy.Gibbons/publications/merging.ps.gz More on Merging and Selection]).
 
 
 
;[http://journals.cambridge.org/action/displayAbstract?aid=44107 On building trees with minimum height]
 
:Richard Bird. 1997.  ([http://web.comlab.ox.ac.uk/people/Richard.Bird/publications-bib.html#Bird97:OnBuilding Bib]).
 
 
 
;The Last Tail.
 
:Richard Bird. 1993. ([http://web.comlab.ox.ac.uk/people/Richard.Bird/publications-bib.html#Bird93:Last Bib]).
 
  
;Two Greedy Algorithms
+
<!--
:Richard Bird, 1992. ([http://web.comlab.ox.ac.uk/oucl/work/richard.bird/publications-bib.html#Bird92:Two Bib]).
+
== Offline ==
  
;On Removing Duplicates
+
These appear not to be available online, unfortunately. If you know where they live, please link and and move into the 'online' section!
:Richard Bird. 1991. ([http://web.comlab.ox.ac.uk/oucl/work/richard.bird/publications-bib.html#DBLP:journals/jfp/Bird91a Bib]).
+
-->
  
 
[[Category:Research]] [[Category:Tutorials]]
 
[[Category:Research]] [[Category:Tutorials]]

Latest revision as of 10:05, 10 August 2022

Functional pearls are elegant, instructive examples of functional programming. They are supposed to be fun, and they teach important programming techniques and fundamental design principles. They traditionally appear in The Journal of Functional Programming and and at ICFP and affiliated workshops.

History

The history of functional pearls is covered by:

There have been many functional pearls in JFP and and some others at ICFP and the Haskell Workshop. There is also a collection of them in The Fun of Programming.

The pearls tend to concentrate on:

  • Examples of program calculation and proof
  • Neat presentations of new or old data structures
  • Interesting applications and techniques

Some advice on writing pearls for JFP is available in this editorial.

Online

Functional pearls available online.

2021
2018
2017
2016
2015
2013.
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1994
1993
1992
1991
1988

Potential pearls

Unpublished pearls.