+* [[!wikipedia Church encoding]]
+
+* [[!wikipedia Combinatory logic]]
+* [Combinatory logic](http://plato.stanford.edu/entries/logic-combinatory/) at the Stanford Encyclopedia of Philosophy
+* [[!wikipedia SKI combinatory calculus]]
+* [[!wikipedia B,C,K,W system]]
+* Jeroen Fokker, "The Systematic Construction of a One-combinator Basis for Lambda-Terms" Formal Aspects of Computing 4 (1992), pp. 776-780.
+

+ +* [To Dissect a Mockingbird](http://dkeenan.com/Lambda/index.htm) +* [Combinator Birds](http://www.angelfire.com/tx4/cus/combinator/birds.html) +* [Les deux combinateurs et la totalite](http://www.paulbraffort.net/j_et_i/j_et_i.html) by Paul Braffort. + +## Evaluation Order ## + +* [[!wikipedia Evaluation strategy]] +* [[!wikipedia Eager evaluation]] +* [[!wikipedia Lazy evaluation]] +* [[!wikipedia Strict programming language]] + +## Confluence, Normalization, Undecidability ## + +* [[!wikipedia Church-Rosser theorem]] +* [[!wikipedia Normalization property]] +* [[!wikipedia Turing completeness]]

+* [Scooping the Loop Snooper](http://www.cl.cam.ac.uk/teaching/0910/CompTheory/scooping.pdf), a proof of the undecidability of the halting problem in the style of Dr Seuss by Geoffrey K. Pullum + + +## Recursion and the Y Combinator ## + +* [[!wikipedia Recursion (computer science) desc="Recursion"]] +* [[!wikipedia Y combinator]] +* [Chapter 9 from The Little Schemer](http://www.ccs.neu.edu/home/matthias/BTLS/sample.ps) on the Y Combinator "...and Again, and Again, and Again..." +* [The Y combinator](http://mvanier.livejournal.com/2700.html) +* [The Why of Y](http://www.dreamsongs.com/NewFiles/WhyOfY.pdf) +* [The Y Combinator (Slight Return), or: How to Succeed at Recursion Without Really Recursing](http://mvanier.livejournal.com/2897.html) +* [Y Combinator for Dysfunctional Non-Schemers](http://rayfd.wordpress.com/2007/05/06/y-combinator-for-dysfunctional-non-schemers/) +* [The Y Combinator](http://www.ece.uc.edu/~franco/C511/html/Scheme/ycomb.html) +* [The Y Combinator](http://dangermouse.brynmawr.edu/cs245/ycomb_jim.html) derives the applicative-order Y-combinator from scratch, in Scheme. This derivation is similar in flavor to the derivation found in The Little Schemer, but uses a slightly different starting approach... +* [The church of the least fixed point, by Sans Pareil](http://www.springerlink.com/content/n4t2v573m58g2755/) + +## Folds ## + +* [[!wikipedia Fold (higher-order function)]] + + +## Types ## + +* [[!wikipedia Typed lambda calculus]] +* [[!wikipedia Simply typed lambda calculus]] +* [Type Theory](http://plato.stanford.edu/entries/type-theory/) at the Stanford Encyclopedia of Philosophy +* [Church's Type Theory](http://plato.stanford.edu/entries/type-theory-church/) at the Stanford Encyclopedia of Philosophy +* [[!wikipedia Type polymorphism]] +* [[!wikipedia System F]] +

+* [[!wikipedia Tagged union]]
+* [[!wikipedia Algebraic data type]]
+* [[!wikipedia Recursive data type]]
+* [[!wikipedia Pattern matching]]
+* [[!wikipedia Unit type]]
+* [[!wikipedia Bottom type]]
+
+
+##[[Learning OCaml]]##
+
+
+## Monads ##
+* [[!wikipedia Monad (functional programming) desc="Monads in Functional Programming"]]
+* [Daniel Friedman. A Schemer's View of Monads](/schemersviewofmonads.ps): from

+* [Research Papers/Monads and Arrows](http://www.haskell.org/haskellwiki/Research_papers/Monads_and_arrows) +* [Eugenio Moggi, Notions of Computation and Monads](http://www.disi.unige.it/person/MoggiE/ftp/ic91.pdf): Information and Computation 93 (1) 1991. +* [Philip Wadler. The essence of functional programming](http://homepages.inf.ed.ac.uk/wadler/papers/essence/essence.ps): +invited talk, *19'th Symposium on Principles of Programming Languages*, ACM Press, Albuquerque, January 1992. + +* [Philip Wadler. Monads for Functional Programming](http://homepages.inf.ed.ac.uk/wadler/papers/marktoberdorf/baastad.pdf): +in M. Broy, editor, *Marktoberdorf Summer School on Program Design Calculi*, Springer Verlag, NATO ASI Series F: Computer and systems sciences, Volume 118, August 1992. Also in J. Jeuring and E. Meijer, editors, *Advanced Functional Programming*, Springer Verlag, LNCS 925, 1995. Some errata fixed August 2001. + +* Ken Shan [Monads for natural language semantics](http://arxiv.org/abs/cs/0205026v1) (2001) uses reader monad to implement intensionality. +* Ben-Avi and Winter [A modular approach to intensionality](http://parles.upf.es/glif/pub/sub11/individual/bena_wint.pdf) (2007) reinvents the technique. + +* Monsters and context-shifting, e.g. Gillies/von Fintel on "ifs" [not sure which paper] + + +## Monads in Category Theory ## + +* [Category Theory at SEP](http://plato.stanford.edu/entries/category-theory/) +* [[!wikipedia Category theory]] +* [[!wikipedia Category (mathematics) desc="Category"]] +* [[!wikipedia Morphism]] +* [[!wikipedia Functor]] +* [[!wikipedia Natural transformation]] +* [[!wikipedia Monad (category theory) desc="Monads in category theory"]] +* [Haskell/Category Theory](http://en.wikibooks.org/wiki/Haskell/Category_theory) +* [Category Theory & Functional Programming](http://blog.mestan.fr/2009/01/09/category-theory-functional-programming/) +* [Learning Haskell through Category Theory, and Adventuring in Category Land](http://dekudekuplex.wordpress.com/2009/01/16/learning-haskell-through-category-theory-and-adventuring-in-category-land-like-flatterland-only-about-categories/) +* [Resources for learning practical category theory](http://mathoverflow.net/questions/903/resources-for-learning-practical-category-theory) +* [A Partial Ordering of some Category Theory applied to Haskell](http://blog.sigfpe.com/2010/03/partial-ordering-of-some-category.html) + + +## Side-effects / mutation ## + +* [[!wikipedia Referential transparency (computer science)]] +* [[!wikipedia Side effect (computer science) desc="Side effects"]] +* [[!wikipedia Imperative programming]] +* [[!wikipedia Reference (computer science) desc="References"]] +* [[!wikipedia Pointer (computing) desc="Pointers"]] +* [Pointers in OCaml](http://caml.inria.fr/resources/doc/guides/pointers.html) + + +## Continuations ## + +* [[!wikipedia Continuation]] +* [[!wikipedia Continuation-passing style]] +* [[!wikipedia Call-with-current-continuation]] +* [Intro to call/cc](http://community.schemewiki.org/?call-with-current-continuation) at SchemeWiki +* [Call With Current Continuation](http://www.c2.com/cgi/wiki?CallWithCurrentContinuation) +* [Continuations Made Simple and Illustrated](http://www.ps.uni-saarland.de/~duchier/python/continuations.html) +* [Continuation kata](http://programming-musings.org/2006/02/12/continuation-kata/) +* [Understanding continuations](http://keithdevens.com/weblog/archive/2004/Jul/11/continuations) [Commentary](http://lambda-the-ultimate.org/node/86) +* [Continuations In Scheme](http://tech.phillipwright.com/2010/05/23/continuations-in-scheme/) +* [Understanding Scheme Continuations](http://sanjaypande.blogspot.com/2004/06/understanding-scheme-continuations.html). This is tagged "Part I" but I think there's no further parts. +* [Continuations for Curmudgeons](http://www.intertwingly.net/blog/2005/04/13/Continuations-for-Curmudgeons) [Commentary](http://lambda-the-ultimate.org/node/643) +* [Haskell wiki on Continuations](http://www.haskell.org/haskellwiki/Continuation) +* [Haskell wikibook on Continuation Passing Style](http://en.wikibooks.org/wiki/Haskell/Continuation_passing_style)

+* [[!wikipedia Delimited continuation]] +* [Composable Continuations Tutorial](http://community.schemewiki.org/?composable-continuations-tutorial) at SchemeWiki +* [Post by Ken](http://lambda-the-ultimate.org/node/1197#comment-12927) on Lambda the Ultimate explaining difference between undelimited and delimited continuations +* [shift, reset and streams](http://chneukirchen.org/blog/archive/2005/04/shift-reset-and-streams.html) +* [guile and delimited continuations](http://www.wingolog.org/archives/2010/02/26/guile-and-delimited-continuations) +* [Delimited continuations in Scala](http://blog.richdougherty.com/2009/02/delimited-continuations-in-scala_24.html) +* [Delimited Continuations Explained (in Scala)](http://dcsobral.blogspot.com/2009/07/delimited-continuations-explained-in.html) +* [Partial Continuations](http://www.bluishcoder.co.nz/articles/scheme/partial-continuations.html) +* Delimited Continuations in MzScheme: +[Part 1](http://schemekeys.blogspot.com/2006/11/prompts-their-interaction-with-dynamic.html) +[Part 2](http://schemekeys.blogspot.com/2006/12/delimited-continuations-in-mzscheme.html) +[Part 3](http://schemekeys.blogspot.com/2007/01/going-further-with-primitives.html) +[Part 4](http://schemekeys.blogspot.com/2007/01/odd-and-ends.html)

+* [Online Bibliography of Scheme Research: Continuations and Continuation Passing Style](http://library.readscheme.org/page6.html) +* [Delimited continuations in natural language semantics](http://okmij.org/ftp/gengo/) + + +## The Curry-Howard Correspondence ## +* The [[!wikipedia Curry-Howard isomorphism]] +* [The Curry-Howard correspondence in Haskell](http://www.thenewsh.com/~newsham/formal/curryhoward/) +* [Haskell wikibook on the Curry-Howard Isomorphism](http://en.wikibooks.org/wiki/Haskell/The_Curry-Howard_isomorphism) at Haskell wiki

+ + + +## Linear Logic ## + +* [[!wikipedia Linear logic]] + + diff --git a/_overview.mdwn b/_overview.mdwn new file mode 100644 index 00000000..41c7f44b --- /dev/null +++ b/_overview.mdwn @@ -0,0 +1,26 @@ + + -- 2.11.0