* [Penn lambda calculator](http://www.ling.upenn.edu/lambda/) Pedagogical software developed by Lucas Champollion, Josh Tauberer and Maribel Romero.<p>
<!-- Haskell Curry had ideas that he felt were validated upon reading a 1924 paper by M. Schönfinkel "Uber die Bausteine der mathematischen Logik" which used combinators in a similar way to his own ideas. Haskell then wrote "An analysis of logical substitution" which appeared in the American Journal of Mathematics in 1929. -->
+
* [[!wikipedia Moses Schönfinkel]]
* [[!wikipedia Haskell Curry]]
* [[!wikipedia Alonzo Church]]<p>
<http://people.cs.uu.nl/jeroen/article/combinat/combinat.ps>
* [Chris Barker's Iota and Jot](http://semarch.linguistics.fas.nyu.edu/barker/Iota/)<p>
+* [To Dissect a Mockingbird](http://dkeenan.com/Lambda/index.htm)
+
## Evaluation Order ##
* [[!wikipedia Evaluation strategy]]
* [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/)
## Types ##
+++ /dev/null
-<textarea id="INPUT" style="border: 2px solid black; color: black; font-family: monospace; height: 3in; overflow: auto; padding: 0.5em; width: 100%;">
-let true = \x y. x in
-let false = \x y. y in
-let and = \l r. l r false in
-(
- (and true true yes no)
- (and true false yes no)
- (and false true yes no)
- (and false false yes no)
-)
-</textarea>
-<input id="PARSE" value="Normalize" type="button">
-<input id="ETA" type="checkbox">do eta-reductions too
-<noscript><p>You may not see it because you have JavaScript turned off. Uffff!</p></noscript>
-<script src="/code/lambda.js"></script>
-<script src="/code/tokens.js"></script>
-<script src="/code/parse.js"></script>
-<script src="/code/json2.js"></script>
-<pre id="OUTPUT">
-</pre>
-<script>
-/*jslint evil: true */
-
-/*members create, error, message, name, prototype, stringify, toSource,
- toString, write
-*/
-
-/*global JSON, make_parse, parse, source, tree */
-
-// Make a new object that inherits members from an existing object.
-
-if (typeof Object.create !== 'function') {
- Object.create = function (o) {
- function F() {}
- F.prototype = o;
- return new F();
- };
-}
-
-// Transform a token object into an exception object and throw it.
-
-Object.prototype.error = function (message, t) {
- t = t || this;
- t.name = "SyntaxError";
- t.message = message;
- throw t;
-};
-
-
-(function () {
- var parse = make_parse();
-
- function go(source) {
- var string, tree, expr, eta;
- try {
- tree = parse(source);
- // string = JSON.stringify(tree, ['key', 'name', 'message', 'value', 'arity', 'first', 'second', 'third', 'fourth'], 4);
- expr = tree.handler();
- // string = JSON.stringify(expr, ['key', 'name', 'message', 'value', 'arity', 'first', 'second', 'tag', 'variable', 'left', 'right', 'bound', 'body' ], 4);
-// string = expr.to_string() + "\n\n~~>\n\n";
- string = '';
- eta = document.getElementById('ETA').checked;
- string = string + reduce(expr, eta, false).to_string();
- } catch (e) {
- string = JSON.stringify(e, ['name', 'message', 'from', 'to', 'key',
- 'value', 'arity', 'first', 'second', 'third', 'fourth'], 4);
- }
- document.getElementById('OUTPUT').innerHTML = string
- .replace(/&/g, '&')
- .replace(/[<]/g, '<');
- }
-
- document.getElementById('PARSE').onclick = function (e) {
- go(document.getElementById('INPUT').value);
- };
-}());
-
-</script>